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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Chapter 15 - Resource Planning
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Demand Patterns
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Demand Patterns |||||||||| 1510 Day 2000 — 1500 — 1000 — 500 — 0 Bicycles Rims 2000 — 1500 — 1000 — 500 — 0 |||||||||| 1510 Day Figure 15.1 (a) (b)
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Demand Patterns |||||||||| 1510 Day 2000 — 1500 — 1000 — 500 — 0 Bicycles Reorder point Figure 15.1 Rims 2000 — 1500 — 1000 — 500 — 0 |||||||||| 1510 Day (a) (b)
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Demand Patterns 2000 — 1500 — 1000 — 500 — 0 Rims 2000 — 1500 — 1000 — 500 — 0 |||||||||| 1510 Day |||||||||| 1510 Day Order 1000 on day 3 Bicycles Reorder point Figure 15.1 (a) (b)
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Demand Patterns 2000 — 1500 — 1000 — 500 — 0 |||||||||| 1510 Day Order 1000 on day 3 Bicycles Reorder point Figure 15.1 (a) (b) Rims 2000 — 1500 — 1000 — 500 — 0 |||||||||| 1510 Day
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. MRP - history Prior to MRP and before computers dominated the industry, reorder- point/reorder-quantity (ROP/ROQ) type methods like EOQ had been used in manufacturing and inventory management. In the 1960s, Joseph Orlicky, a former IBM employee developed Material Requirements Planning (MRP). By 1975, MRP was implemented in 150 companies. This number had grown to about 8,000 by 1981. In the 1980s, Orlicky's MRP evolved into Oliver Wight's Manufacturing Resource Planning (MRP II), which brings Master Scheduling, Capacity Requirements Planning and other concepts to classical MRP. In the 80´s the American Production and Inventory Control Society (APICS) helped to spread the MRP/MRPII concepts. By 1989, about one third of the software industry was MRP II software sold to American industry ($1.2 billion worth of software).
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Material Requirements Plan Inputs Figure 15.2 Bills of materials Engineering and process designs
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Material Requirements Plan Inputs Figure 15.2 Inventory transactions Inventory records Bills of materials Engineering and process designs Other sources of demand Authorized master production schedule
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Material Requirements Plan Explosion Figure 15.2 Inventory transactions Inventory records Bills of materials Engineering and process designs MRPexplosion Other sources of demand Authorized master production schedule
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Material Requirements Plan Output Figure 15.2 Inventory transactions Inventory records Bills of materials Engineering and process designs Material requirements plan MRPexplosion Other sources of demand Authorized master production schedule
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Bill of Materials Figure 15.3 Seat cushion Seat-frame boards Front legs A Ladder-back chair Back legs Leg supports Back slats
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Bill of Materials Figure 15.3 Back slatsSeat cushion Seat-frame boards Leg supports Front legs Back legs A Ladder-back chair J (4) Seat-frame boards C (1) Seat subassembly D (2) Front legs B (1) Ladder-back subassembly E (4) Leg supports ALadder-backchair I (1) Seat cushion H (1) Seat frame G (4) Back slats F (2) Back legs
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Master Production Schedule 200 Ladder-back chair Kitchen chair Desk chair 12 AprilMay 670 345678 200 150 120 200 150 200 120 Aggregate production plan for chair family 670 Figure 15.4
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Inventory Record Figure 15.5 Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Inventory Record Figure 15.5 Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 Explanation: Gross requirements are the total demand for the two chairs. Projected on-hand inventory in week 1 is 37 + 230 – 150
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Inventory Record Figure 15.5 Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 Explanation: Gross requirements are the total demand for the two chairs. Projected on-hand inventory in week 1 is 37 + 230 – 150 = 117 units.
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Inventory Record Figure 15.6 Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Inventory Record Figure 15.5 Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 Projected on-hand inventory balance at end of week t Inventory on hand at end of week t - 1 Gross requirements in week t Scheduled or planned receipts in week t =+–
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Inventory Record Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 117117 – 3 –153–273–273 Figure 15.5 Projected on-hand inventory balance at end of week t Inventory on hand at end of week t - 1 Gross requirements in week t Scheduled or planned receipts in week t =+–
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 117117–3 – 3 –153 – 273 Planned Orders Figure 15.6 Explanation: Without a new order in week 4, there will be a shortage of three units: 117 + 0 + 0 – 120 = – 3 units.
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 117117 Planned Orders Figure 15.6
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 117117 227 230 Planned Orders Figure 15.6 Explanation: Adding the planned receipt brings the balance to 230 117 + 0 + 230 – 120 = 227 units.
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 117117 227 230 Planned Orders Figure 15.6 Explanation: Adding the planned receipt brings the balance to 230 117 + 0 + 230 – 120 = 227 units.
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 117117 227 230 230 Planned Orders Figure 15.6 Explanation: Offsetting for a two-week lead time puts the corresponding planned order release back to week 2.
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 117117 227 230 230 Planned Orders Figure 15.6 Explanation: Offsetting for a two-week lead time puts the corresponding planned order release back to week 2.
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 117117 227 230 230 227 77 –43 Planned Orders Figure 15.6 Explanation: The first planned order lasts until week 7, when projected inventory would drop to – 43.
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 117117 227 230 230 227 77 230 Planned Orders Figure 15.6 Explanation: 230 Adding the second planned receipt brings the balance to 77 + 0 + 230 – 120 = 187.
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 117117 227 230 230 227 77 230 Planned Orders Figure 15.6 Explanation: 230 Adding the second planned receipt brings the balance to 77 + 0 + 230 – 120 = 187. 187
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 117117 227 230 230 227 77 230 187 230 Planned Orders Figure 15.6 Explanation: The corresponding planned order release is for week 5.
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Planned Orders Figure 15.6 Item: C Description: Seat subassembly Lot Size: 230 units Lead Time: 2 weeks Gross requirements 150 1 230 117 0 2 0 0 3 0 120 4 0 5 0 150 6 0 120 7 0 8 0 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 00 117117 227 230 230 227 77 230 187 230 187
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules — POQ Figure 15.7 Item: C Description: Seat subassembly Lot Size: P = 3 Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules — POQ Figure 15.7 Item: C Description: Seat subassembly Lot Size: P = 3 Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 POQ lot size Gross requirements for weeks 4, 5, and 6 Inventory at end of week 3 = –
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules — POQ Figure 15.7 Item: C Description: Seat subassembly Lot Size: P = 3 Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules — POQ Figure 15.7 Item: C Description: Seat subassembly Lot Size: P = 3 Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 (120 + 0 + 150)
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules — POQ Figure 15.7 Item: C Description: Seat subassembly Lot Size: P = 3 Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 (120 + 0 + 150) – 117
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules — POQ Figure 15.7 Item: C Description: Seat subassembly Lot Size: P = 3 Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 (120 + 0 + 150) – 117 = 153 units 153
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules — POQ Figure 15.7 Item: C Description: Seat subassembly Lot Size: P = 3 Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 (120 + 0 + 150) – 117 = 153 units 153
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules — POQ Figure 15.7 Item: C Description: Seat subassembly Lot Size: P = 3 Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 (120 + 0 + 150) – 117 = 153 units 153 150
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules — POQ Figure 15.7 Item: C Description: Seat subassembly Lot Size: P = 3 Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 (120 + 0 + 150) – 117 = 153 units 153 150 153
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules — POQ Figure 15.7 Item: C Description: Seat subassembly Lot Size: P = 3 Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 (120 + 0) – 0 = 120 units 153 150 153 150000 120 120
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules — POQ Figure 15.7 Item: C Description: Seat subassembly Lot Size: P = 3 Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 153 150 153 150000 120 120
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules — POQ Figure 15.7
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules—L4L Figure 15.8 Item: C Description: Seat subassembly Lot Size: L4L Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules—L4L Figure 15.8 Item: C Description: Seat subassembly Lot Size: L4L Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 L4L lot size Gross requirements in week 4 Inventory balance at end of week 3 = –
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules—L4L Figure 15.8 Item: C Description: Seat subassembly Lot Size: L4L Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 = 120 – 117 = 3 L4L lot size
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules—L4L Figure 15.8 Item: C Description: Seat subassembly Lot Size: L4L Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 3 = 120 – 117 = 3 L4L lot size
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules—L4L Figure 15.8 Item: C Description: Seat subassembly Lot Size: L4L Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 3 3 0 = 120 – 117 = 3 L4L lot size
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules—L4L Figure 15.8 Item: C Description: Seat subassembly Lot Size: L4L Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 3 3 0 00
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules—L4L Figure 15.8 Item: C Description: Seat subassembly Lot Size: L4L Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 3 3 0 150 00
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules—L4L Figure 15.8 Item: C Description: Seat subassembly Lot Size: L4L Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 3 3 0 150 00 0 120
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules—L4L Figure 15.8 Item: C Description: Seat subassembly Lot Size: L4L Lead Time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 3 3 0 150 00 0 120 0
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rules—L4L Figure 15.8
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Lot-Sizing Rule Comparison The FOQ rule generates high average inventory because it creates remnants. The POQ rule reduces average on-hand inventory because it does a better job of matching order quantity to requirements. The L4L rule minimizes inventory investment but maximizes the number of orders placed.
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. MRP Outputs Figure 15.10 MRP explosion
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. MRP Outputs Figure 15.10 Material requirements plan Action notices Releasing new orders Adjusting due dates Priority reports Dispatch lists Supplier schedules Capacity reports Capacity requirements planning Finite capacity scheduling Input-output control MRP explosion
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. MRP Outputs Figure 15.10 Material requirements plan Action notices Releasing new orders Adjusting due dates Priority reports Dispatch lists Supplier schedules Capacity reports Capacity requirements planning Finite capacity scheduling Input-output control MRP explosion Routings and time standards
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. MRP Outputs Material requirements plan Action notices Releasing new orders Adjusting due dates Priority reports Dispatch lists Supplier schedules Capacity reports Capacity requirements planning Finite capacity scheduling Input-output control Figure 15.10 MRP explosion Manufacturing resources plan Performance reports Routings and time standards
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. MRP Outputs Material requirements plan Action notices Releasing new orders Adjusting due dates Priority reports Dispatch lists Supplier schedules Capacity reports Capacity requirements planning Finite capacity scheduling Input-output control Figure 15.10 MRP explosion Manufacturing resources plan Performance reports Cost and price data Routings and time standards
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Bill of Materials Figure 15.11 C (1) Seat subassembly H (1) Seat frame J (4) Seat-frame boards I (1) Seat cushion
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. MRP Explosion Item: Seat subassembly Lot size: 230 units Lead time: 2 weeks Gross requirements 150 1 230 117 23 120 45 150 6 120 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 37 Week 117 117 0000 000 0000 227 77187 230 Figure 15.12
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Figure 15.12 Item: Seat subassembly Lot size: 230 units Lead time: 2 weeks Gross requirements 150 123 120 45 150 6 120 78 Planned receipts Planned order releases Week 0000 230 MRP Explosion
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: Seat subassembly Lot size: 230 units Lead time: 2 weeks Gross requirements 150 123 120 45 150 6 120 78 Planned receipts Planned order releases Week 0000 230 MRP Explosion Item: Seat frames Lot size: 300 units Lead time: 1 week Gross requirements 1 0 2345678 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 40 Week 000 300000 Item: Seat cushion Lot size: L4L Lead time: 1 week Gross requirements 1 0 2345678 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 0 Week 000 0000 Figure 15.12
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: Seat subassembly Lot size: 230 units Lead time: 2 weeks Gross requirements 150 123 120 45 150 6 120 78 Planned receipts Planned order releases Week 0000 230 Item: Seat frames Lot size: 300 units Lead time: 1 week Gross requirements 0 1 0 2345678 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 40 Week 230 000 300000 Item: Seat cushion Lot size: L4L Lead time: 1 week Gross requirements 0 1 0 2345678 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 0 Week 230 000 0000 Usage quantity: 1 MRP Explosion Figure 15.12
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: Seat subassembly Lot size: 230 units Lead time: 2 weeks Gross requirements 150 123 120 45 150 6 120 78 Planned receipts Planned order releases Week 0000 230 Item: Seat frames Lot size: 300 units Lead time: 1 week Gross requirements 0 1 0 23 0 45678 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 40 Week 230 0 000 300000 Item: Seat cushion Lot size: L4L Lead time: 1 week Gross requirements 0 1 0 23 0 45678 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 0 Week 230 0 000 0000 Usage quantity: 1 MRP Explosion Figure 15.12
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: Seat subassembly Lot size: 230 units Lead time: 2 weeks Gross requirements 150 123 120 45 150 6 120 78 Planned receipts Planned order releases Week 0000 230 Item: Seat frames Lot size: 300 units Lead time: 1 week Gross requirements 0 1 0 40 23 0 45 0 6 0 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 40 Week 110110 230 00 000 300000 110180 300 Item: Seat cushion Lot size: L4L Lead time: 1 week Gross requirements 0 1 0 0 23 0 45 0 6 0 78 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 0 Week 00 230 00 000 0000 00000 MRP Explosion Figure 15.12
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: Seat frames Lot size: 300 units Lead time: 1 week Gross requirements 12345678 Planned receipts Planned order releases Week 300 Item: Seat cushion Lot size: L4L Lead time: 1 week Gross requirements 12345678 Planned receipts Planned order releases Week 230 0000 00 0000 00 MRP Explosion Figure 15.12
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: Seat frames Lot size: 300 units Lead time: 1 week Gross requirements 12345678 Planned receipts Planned order releases Week 300 Item: Seat cushion Lot size: L4L Lead time: 1 week Gross requirements 12345678 Planned receipts Planned order releases Week 230 0000 00 0000 00 Gross requirements 1 0 2345678 Scheduled receipts Planned receipts Planned order releases 200 Week 000 0000 Projected on-hand inventory Item: Seat-frame boards Lot size: 1500 units Lead time: 1 week Figure 15.12 MRP Explosion
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: Seat frames Lot size: 300 units Lead time: 1 week Gross requirements 12345678 Planned receipts Planned order releases Week 300 Item: Seat cushion Lot size: L4L Lead time: 1 week Gross requirements 12345678 Planned receipts Planned order releases Week 230 0000 00 0000 00 Gross requirements 0 1 0 23 1200 45 0 6 0 78 Scheduled receipts Planned receipts Planned order releases 200 Week 0000 000 0000 Projected on-hand inventory Item: Seat-frame boards Lot size: 1500 units Lead time: 1 week Usage quantity: 4 Figure 15.12 MRP Explosion
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Item: Seat frames Lot size: 300 units Lead time: 1 week Gross requirements 12345678 Planned receipts Planned order releases Week 300 Item: Seat cushion Lot size: L4L Lead time: 1 week Gross requirements 12345678 Planned receipts Planned order releases Week 230 0000 00 0000 00 Gross requirements 0 1 0 200 23 1200 45 0 6 0 78 Scheduled receipts Planned receipts Planned order releases 200 Week 200200 0000 000 0000 500 1500 Projected on-hand inventory Item: Seat-frame boards Lot size: 1500 units Lead time: 1 week Figure 15.12 MRP Explosion
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Solved Problem 1 Figure 15.19 LT = 2LT = 3 A B (3) C (1) LT = 1 G (1) LT = 3LT = 6 LT = 3 LT = 1 D (1) E (2)F (1) If there is no existing inventory, how many units of G, E and D must be purchased to produce 5 units of item A?
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Solved Problem 2 Figure 15.20 A B (1)C (2) D (1) LT = 2 LT = 1LT = 2 LT = 3 Inventory Record Data ITEM DATA CATEGORYBCD Lot-sizing rulePOQ (P=3)L4LFOQ = 500 units Lead time1 week2 weeks3 weeks Scheduled receiptsNone200 (week 1)None Beginning (on-hand) 200425 inventory The MPS for product A calls for the assembly dept to begin final assembly according to the following schedule: 100 units in week 2; 200 in week 4; 120 in week 6; 180 in week 7; and 60 units in week 8. develop a MRP for the next 8 weeks for items B, C and D, identifying any action notices that would be provided. The BOM for A is shown in Figure 15.20, and data for the inventory records are shown in the below Table.
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Solved Problem 2 Item: B Lot size: POQ (P = 3) Description:Lead time: 1 week Gross requirements 100 1 20 2345678 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 20 Week 200200 200 00240600 280 910 12018060 00 360 Figure 15.21 280360
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Solved Problem 2 Item: C Lot size: L4L Description:Lead time: 2 weeks Gross requirements 200 1 200 2345678 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 0 Week 00 400 200 00000 400 910 240360120 00 240360120 400240360120 Figure 15.21
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Solved Problem 2 Figure 15.21 Item: D Lot size: FOQ = 500 units Description:Lead time: 3 weeks Gross requirements 400 1 425 2345678 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 425 Week 2525 240 285425305 500 910 360120 500 360305 500
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Action Notice
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Action Notice Item: Seat frame Lot size: 230 units Lead time: 1 week Gross requirements 230 1 -190 2345678 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 40 Week 110 110 230 300 110280180 300 Figure 15.13
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Action Notice Item: Seat frame Lot size: 230 units Lead time: 1 week Gross requirements 230 1 -190 2345678 Scheduled receipts Projected on-hand inventory Planned receipts Planned order releases 40 Week 110 110 230 300 110280180 300 Action to be taken: Stockout projected for week 1. Reschedule open order in week 2 to week 1. Figure 15.13
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved.
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Capacity Requirements
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Capacity Requirements Date:Week: 32 Plant 01 Dept. 03: Lathe Station Capacity: 320 hours per week Week 323334353637 Planned hours90156349210360280 Actual hours Total hours Figure 15.14
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Capacity Requirements Date:Week: 32 Plant 01 Dept. 03: Lathe Station Capacity: 320 hours per week Week 323334353637 Planned hours90156349210360280 Actual hours21010441000 Total hours Figure 15.14
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Capacity Requirements Date:Week: 32 Plant 01 Dept. 03: Lathe Station Capacity: 320 hours per week Week 323334353637 Planned hours90156349210360280 Actual hours21010441000 Total hours300260390210360280 Figure 15.14 4 lathes, 2 shifts per day Actual hours of the scheduled receipts
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Capacity Requirements Explanation: Projected capacity requirements exceed weekly hours of capacity. Date:Week: 32 Plant 01 Dept. 03: Lathe Station Capacity: 320 hours per week Week 323334353637 Planned hours90156349210360280 Actual hours21010441000 Total hours300260390210360280 Figure 15.14
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Input-Output Report Figure 15.15 Workstation: Rough MillWeek: 32 Tolerance: 25 hours Week Ending 2829303132 Planned Actual Cumulative deviation Planned Actual Cumulative deviation Inputs Outputs
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Input-Output Report Figure 15.15 Workstation: Rough MillWeek: 32 Tolerance: 25 hours Week Ending 2829303132 Planned160155170160165 Actual145160168177 Cumulative deviation– 15– 10– 12+ 5 Planned170170160160160 Actual165165150148 Cumulative deviation– 5–- 10– 20– 32 Inputs Outputs
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Input-Output Report Figure 15.15 Workstation: Rough MillWeek: 32 Tolerance: 25 hours Week Ending 2829303132 Planned160155170160165 Actual145160168177 Cumulative deviation– 15– 10– 12+ 5 Planned170170160160160 Actual165165150148 Cumulative deviation– 5– 10– 20– 32 Inputs Outputs Explanation: Cumulative deviations between – 25 hours and + 25 hours are allowed.
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Input-Output Report Figure 15.15 Workstation: Rough MillWeek: 32 Tolerance: 25 hours Week Ending 2829303132 Planned160155170160165 Actual145160168177 Cumulative deviation– 15– 10– 12+ 5 Planned170170160160160 Actual165165150148 Cumulative deviation– 5– 10– 20– 32 Inputs Outputs Explanation: Cumulative deviation exceeds lower tolerance limit, indicating actual hours of output have fallen too far below planned hours of output and some action is required. Explanation: Cumulative deviations between – 25 hours and + 25 hours are allowed. Insufficient input or capacity
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. MRP II Inventory records Inventory transactions Bills of materials Routings Time standards MRPexplosion Master production schedule Customer ordersForecasts Figure 15.16
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. MRP II Figure 15.16 Material requirements plan Inventory records Inventory transactions Bills of materials Routings Time standards MRPexplosion Master production schedule Customer ordersForecasts
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. MRP II Figure 15.16 Material requirements plan Inventory records Inventory transactions Bills of materials Routings Time standards MRPexplosion Master production schedule Manufacturing resource plan Cost and financial data Customer ordersForecasts
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. MRP II Figure 15.16 Material requirements plan Inventory records Inventory transactions Bills of materials Routings Time standards MRPexplosion Master production schedule Manufacturing resource plan Cost and financial data Purchasing reports Financial/ accounting reports Sales and marketing reports Human resource reports Manufacturing reports Customer ordersForecasts
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Distribution Requirements Planning Retail stores Figure 15.17
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Distribution Requirements Planning Retail stores Distribution centers Figure 15.17
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Distribution Requirements Planning Retail stores Distribution centers Plants Figure 15.17
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. DC 1 DC 2 DC 3 Direct sale PLANT requests goods
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved.... DRP Nationwide Warehouses MPS A C E D(2) E(2)
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Sales & Operations Management MPSMPS MRPMRP Supplier Management DRPDRP SupplierSupplier Demand management DRPDRP ClientsClients Front end Engine Back end
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved.
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Purchase Orders MRP MPS DRP Sales/Marketing Plan
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Raw material Producer Wholesaler Distributor Wholesaler Distributor Retailer / Distributor Final Customer MRP/MRP II DRP Logístic DRP in the Supplying Chain
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Warehouse and Materials Management Shipments to clients Plants and Suppliers Internal Transport ExternalTransportExternalTransport VendorsVendors DemandDemand Shipments to Distribution center DRPDRP
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. DRP EXAMPLE A plant located in Itajubá (MG) supplies three major regions, Rio, São Paulo and Minas Gerais. In order to accomplish taht the plant has warehouses in the cities of Rio de Janeiro, Belo Horizonte and São Paulo. The tables below provides their demands, with the outlet Itajubá plant demand.
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved.
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Bill of Resources Figure 15.18 (a) Level 1 Discharge Level 2 Intermediate care Level 3 Postoperative care (Step down) Level 4 Postoperative care (Intensive) Level 7 Postoperative care (Testing) Level 5 Surgery Level 6 Postoperative care (Angiogram)
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Bill of Resources Level 6 Postoperative care (Angiogram) Figure 15.18 (b) (a) Level 1 Discharge Level 2 Intermediate care Level 3 Postoperative care (Step down) Level 4 Postoperative care (Intensive) Level 7 Postoperative care (Testing) Level 5 Surgery Level 6 Postoperative care (Angiogram)
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Bill of Resources Level 6 Postoperative care (Angiogram) Figure 15.18 (b) (a) Level 1 Discharge Level 2 Intermediate care Level 3 Postoperative care (Step down) Level 4 Postoperative care (Intensive) Level 7 Postoperative care (Testing) Level 5 Surgery Level 6 Postoperative care (Angiogram)
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To Accompany Krajewski & Ritzman Operations Management: Strategy and Analysis, Sixth Edition © 2002 Prentice Hall, Inc. All rights reserved. Bill of Resources Figure 15.18 (a) Level 1 Discharge Level 2 Intermediate care Level 3 Postoperative care (Step down) Level 4 Postoperative care (Intensive) Level 7 Preoperative care (Testing) Level 5 Surgery Level 6 Preoperative care (Angiogram) Nurse (6 hr) MD (1 hr) Therapy (1 hr) Bed (24 hr) Lab (3 tests) Kitchen (1 meal) Pharmacy (10 medicines) (b) Level 6 Preoperative care (Angiogram)
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