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7 3 Capacity Planning PowerPoint presentation to accompany
SUPPLEMENT PowerPoint presentation to accompany Heizer and Render Operations Management, Global Edition, Eleventh Edition Principles of Operations Management, Global Edition, Ninth Edition PowerPoint slides by Jeff Heyl © 2014 Pearson Education
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OUTLINE Capacity Key Issues in Capacity Planning Bottleneck Analysis
- design capacity - effective capacity Key Issues in Capacity Planning Bottleneck Analysis Multi-Product Break-Even Analysis Applying EMV to Capacity Planning Decisons © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Capacity The throughput, or the number of units a facility can hold, receive, store, or produce in a period of time Determines fixed costs Determines if demand will be satisfied Determines if facilities remain idle This slide provides some reasons that capacity is an issue. The following slides guide a discussion of capacity. © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Planning Over a Time Horizon
Modify capacity Use capacity Intermediate-range planning Subcontract Add personnel Add equipment Build or use inventory Add shifts Short-range planning Schedule jobs Schedule personnel Allocate machinery * Long-range planning Add facilities Add long lead time equipment * Difficult to adjust capacity as limited options exist Options for Adjusting Capacity Figure S7.1 © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Design and Effective Capacity
Design capacity is the maximum theoretical output of a system Normally expressed as a rate Effective capacity is the capacity a firm expects to achieve given current operating constraints Often lower than design capacity This slide can be used to frame a discussion of capacity. Points to be made might include: - capacity definition and measurement is necessary if we are to develop a production schedule - while a process may have “maximum” capacity, many factors prevent us from achieving that capacity on a continuous basis. Students should be asked to suggest factors which might prevent one from achieving maximum capacity. © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Utilization and Efficiency
Utilization is the percent of design capacity achieved Utilization = Actual output/Design capacity Efficiency is the percent of effective capacity achieved Efficiency = Actual output/Effective capacity © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Bakery Example Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour Bakery operates 7 days/week, hour shifts Weekly Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls It might be useful at this point to discuss typical equipment utilization rates for different process strategies if you have not done so before. © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Bakery Example Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour Bakery operates 7 days/week, hour shifts Weekly Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls It might be useful at this point to discuss typical equipment utilization rates for different process strategies if you have not done so before. © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Bakery Example Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour Bakery operates 7 days/week, hour shifts Weekly Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls It might be useful at this point to discuss typical equipment utilization rates for different process strategies if you have not done so before. Utilization = 148,000/201,600 = 73.4% © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Bakery Example Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour Bakery operates 7 days/week, hour shifts Weekly Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls It might be useful at this point to discuss typical equipment utilization rates for different process strategies if you have not done so before. Utilization = 148,000/201,600 = 73.4% © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Bakery Example Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour Bakery operates 7 days/week, hour shifts Weekly Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls It might be useful at this point to discuss typical equipment utilization rates for different process strategies if you have not done so before. Utilization = 148,000/201,600 = 73.4% Efficiency = 148,000/175,000 = 84.6% © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Bakery Example Actual production last week = 148,000 rolls
Effective capacity = 175,000 rolls Design capacity = 1,200 rolls per hour Bakery operates 7 days/week, hour shifts Weekly Design capacity = (7 x 3 x 8) x (1,200) = 201,600 rolls It might be useful at this point to discuss typical equipment utilization rates for different process strategies if you have not done so before. Utilization = 148,000/201,600 = 73.4% Efficiency = 148,000/175,000 = 84.6% © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Bakery Example: Estimating Output of a New Facility
They are considering adding a second production line and they plan to hire new employees and train them to operate this new line Effective capacity on this new line = 175,000 rolls which is the same on the first line However, due to new hires they expect that efficiency of this new line will be 75% rather than 84.6% Expected Output = (Effective Capacity) * (Efficiency) It might be useful at this point to discuss typical equipment utilization rates for different process strategies if you have not done so before. = (175,000) * (.75) = 131,250 rolls © 2011 Pearson Education, Inc. publishing as Prentice Hall
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İmportant Issues in Capacity Planning
Forecast demand accurately Understand the technology and capacity increments Find the optimum operating level (volume) Build for change © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Optimum (Best) Operating Level and Size
Alternative 1: Purchase one large facility, requiring one large initial investment Alternative 2: Add capacity incrementally in smaller chunks as needed © Wiley 2010
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Optimum (Best) Operating Level
The Best Operating Level is the output that results in the lowest average unit cost Economies of Scale: Where the cost per unit of output drops as volume of output increases Spread the fixed costs of buildings & equipment over multiple units, allow bulk purchasing & handling of material Diseconomies of Scale: Where the cost per unit rises as volume increases Often caused by congestion (overwhelming the process with too much work-in-process) and scheduling complexity
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Managing Demand Demand exceeds capacity Capacity exceeds demand
Curtail demand by raising prices, scheduling longer lead time Long term solution is to increase capacity Capacity exceeds demand Stimulate market Product changes Adjusting to seasonal demands Produce products with complementary demand patterns © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Complementary Demand Patterns
4,000 – 3,000 – 2,000 – 1,000 – J F M A M J J A S O N D J F M A M J J A S O N D J Sales in units Time (months) Jet ski engine sales Figure S7.3 © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Complementary Demand Patterns
4,000 – 3,000 – 2,000 – 1,000 – J F M A M J J A S O N D J F M A M J J A S O N D J Sales in units Time (months) Snowmobile motor sales Jet ski engine sales Figure S7.3 © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Complementary Demand Patterns
Combining both demand patterns reduces the variation 4,000 – 3,000 – 2,000 – 1,000 – J F M A M J J A S O N D J F M A M J J A S O N D J Sales in units Time (months) Snowmobile motor sales Jet ski engine sales Figure S7.3 © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Tactics for Matching Capacity to Demand
Making staffing changes Adjusting equipment Purchasing additional machinery Selling or leasing out existing equipment Improving processes to increase throughput Redesigning products to facilitate more throughput Adding process flexibility to meet changing product preferences Closing facilities © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Demand and Capacity Management in the Service Sector
Demand management (scheduling customers) Appointment, reservations, FCFS rule Capacity management (scheduling workforce) Full time, temporary, part-time staff © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Bottleneck Analysis and Theory of Constraints
Each work area can have its own unique capacity Capacity analysis determines the throughput capacity of workstations in a system A bottleneck is a limiting factor or constraint A bottleneck has the lowest effective capacity in a system © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Bottleneck Management
Release work orders to the system at the pace of set by the bottleneck Lost time at the bottleneck represents lost time for the whole system Increasing the capacity of a non-bottleneck station is a mirage Increasing the capacity of a bottleneck increases the capacity of the whole system © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Bottleneck Analysis and the Theory of Constraints
The bottleneck time is the time of the slowest workstation (the one that takes the longest) in a production system The throughput time is the time it takes a unit to go through production from start to end Figure S7.4 2 min/unit 4 min/unit 3 min/unit A B C
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Capacity Analysis Two identical sandwich assembly lines
Each assembly line has two workers and two operations All completed sandwiches are wrapped Wrap/ Deliver 37.5 sec/sandwich Order 30 sec/sandwich Bread Fill 15 sec/sandwich 20 sec/sandwich Toaster
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Capacity Analysis Wrap/ Deliver 37.5 sec Order 30 sec Bread Fill 15 sec 20 sec Toaster The two lines each deliver a sandwich every 20 seconds At 37.5 seconds, wrapping and delivery has the longest processing time and is the bottleneck Capacity per hour is 3,600 seconds/37.5 seconds/sandwich = 96 sandwiches per hour Throughput time is = seconds
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Capacity Analysis Example S4, pg.322
Standard process for cleaning teeth Cleaning and examining X-rays can happen simultaneously Customer pays 6 min/unit Checks in 2 min/unit A Lab Ass Develops X-ray 4 min/unit 8 min/unit Dentist re-processes A Lab Ass. Takes X-ray 5 min/unit Examines X-ray and processes Hygienist Cleans the teeth 24 min/unit © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Capacity Analysis All possible paths must be compared
Check out 6 min/unit Check in 2 min/unit Develops X-ray 4 min/unit 8 min/unit Dentist Takes X-ray 5 min/unit X-ray exam Cleaning 24 min/unit All possible paths must be compared Cleaning path is = 46 minutes, X-ray exam path is = 27 minutes Longest path involves the hygienist cleaning the teeth, so the throughput time is 46 min. The patient will be out of door after 46 min. Bottleneck is the hygienist at 24 minutes. Hourly System capacity is (1/24)*60 min = 2.5 patients/per hour © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Break-Even Analysis Technique for evaluating process and equipment alternatives Objective is to find the point in dollars and units at which cost equals revenue Requires estimation of fixed costs, variable costs, and revenue This chart introduces breakeven analysis and the breakeven or crossover chart. As you discuss the assumptions upon which this techniques is based, it might be a good time to introduce the more general topic of the limitations of and use of models. Certainly one does not know all information with certainty, money does have a time value, and the hypothesized linear relationships hold only within a range of production volumes. What impact does this have on our use of the models? © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Break-Even Analysis Fixed costs are costs that continue even if no units are produced Depreciation, taxes, debt, mortgage payments Variable costs are costs that vary with the volume of units produced Labor, materials, portion of utilities Contribution is the difference between selling price and variable cost This chart introduces breakeven analysis and the breakeven or crossover chart. As you discuss the assumptions upon which this techniques is based, it might be a good time to introduce the more general topic of the limitations of and use of models. Certainly one does not know all information with certainty, money does have a time value, and the hypothesized linear relationships hold only within a range of production volumes. What impact does this have on our use of the models? © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Break-Even Analysis Assumptions Costs and revenue are linear functions
Generally not the case in the real world We actually know these costs Very difficult to verify Time value of money is often ignored This chart introduces breakeven analysis and the breakeven or crossover chart. As you discuss the assumptions upon which this techniques is based, it might be a good time to introduce the more general topic of the limitations of and use of models. Certainly one does not know all information with certainty, money does have a time value, and the hypothesized linear relationships hold only within a range of production volumes. What impact does this have on our use of the models? © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Total cost = Total revenue
Break-Even Analysis – 900 – 800 – 700 – 600 – 500 – 400 – 300 – 200 – 100 – | | | | | | | | | | | | Cost in dollars Volume (units per period) Total revenue line Profit corridor Loss corridor Total cost line Break-even point Total cost = Total revenue Variable cost This chart introduces breakeven analysis and the breakeven or crossover chart. As you discuss the assumptions upon which this techniques is based, it might be a good time to introduce the more general topic of the limitations of and use of models. Certainly one does not know all information with certainty, money does have a time value, and the hypothesized linear relationships hold only within a range of production volumes. What impact does this have on our use of the models? Fixed cost Figure S7.5 © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Break-Even Analysis TR = TC F or BEPx = P - V Px = F + Vx
BEPx = break-even point in units BEP$ = break-even point in dollars P = price per unit (after all discounts) x = number of units produced TR = total revenue = Px F = fixed costs V = variable cost per unit TC = total costs = F + Vx Break-even point occurs when This chart introduces breakeven analysis and the breakeven or crossover chart. As you discuss the assumptions upon which this techniques is based, it might be a good time to introduce the more general topic of the limitations of and use of models. Certainly one does not know all information with certainty, money does have a time value, and the hypothesized linear relationships hold only within a range of production volumes. What impact does this have on our use of the models? TR = TC or Px = F + Vx BEPx = F P - V © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Break-Even Analysis BEP$ = BEPx P = P = Profit = TR - TC P - V
BEPx = break-even point in units BEP$ = break-even point in dollars P = price per unit (after all discounts) x = number of units produced TR = total revenue = Px F = fixed costs V = variable cost per unit TC = total costs = F + Vx BEP$ = BEPx P = P = F (P - V)/P P - V 1 - V/P Profit = TR - TC = Px - (F + Vx) = Px - F - Vx = (P - V)x - F This chart introduces breakeven analysis and the breakeven or crossover chart. As you discuss the assumptions upon which this techniques is based, it might be a good time to introduce the more general topic of the limitations of and use of models. Certainly one does not know all information with certainty, money does have a time value, and the hypothesized linear relationships hold only within a range of production volumes. What impact does this have on our use of the models? © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Break-Even Example Fixed costs = $10,000 Material = $.75/unit
Direct labor = $1.50/unit Selling price = $4.00 per unit BEP$ = = F 1 - (V/P) $10,000 1 - [( )/(4.00)] © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Break-Even Example Fixed costs = $10,000 Material = $.75/unit
Direct labor = $1.50/unit Selling price = $4.00 per unit BEP$ = = F 1 - (V/P) $10,000 1 - [( )/(4.00)] = = $22,857.14 $10,000 .4375 BEPx = = = 5,714 F P - V $10,000 ( ) © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Break-Even Example Revenue Break-even point Total costs Fixed costs
50,000 – 40,000 – 30,000 – 20,000 – 10,000 – – | | | | | | 0 2,000 4,000 6,000 8,000 10,000 Dollars Units Revenue Break-even point Total costs Fixed costs © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Multiproduct Break-Even Analysis
Each product’s contribution is weighted by its proportion of sales BEP$ = F ∑ x (Wi) Vi Pi where Vi = variable cost per unit Pi = price per unit F = fixed costs Wi = percent each product is of total dollar sales i = each product © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Multiproduct Example Fixed costs = $3,000 per month ITEM PRICE COST
ANNUAL FORECASTED SALES UNITS Sandwich $5.00 $3.00 9,000 Drink 1.50 .50 Baked potato 2.00 1.00 7,000 1 2 3 4 5 6 7 8 ITEM (i) SELLING PRICE (P) VARIABLE COST (V) (V/P) 1 - (V/P) ANNUAL FORECASTED SALES $ % OF SALES WEIGHTED CONTRIBUTION (COL 5 X COL 7) Sandwich $5.00 $3.00 .60 .40 $45,000 .621 .248 Drinks 1.50 0.50 .33 .67 13,500 .186 .125 Baked potato 2.00 1.00 .50 14,000 .193 .097 $72,500 1.000 .470
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Multiproduct Example ∑ 1 - x (Wi) F BEP$ = Vi Pi
= = $76,759 $3,000 x 12 .469 Fixed costs = $3,000 per month Annual Forecasted Item Price Cost Sales Units Sandwich $5.00 $3.00 9,000 Drink ,000 Baked potato ,000 Daily sales = = $246.02 $76,759 312 days Sandwich $5.00 $ $45, Drinks , Baked , potato $72, Annual Weighted Selling Variable Forecasted % of Contribution Item (i) Price (P) Cost (V) (V/P) 1 - (V/P) Sales $ Sales (col 5 x col 7) .621 x $246.02 $5.00 = 30.6 31 sandwiches per day © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Reducing Risk with Incremental Changes
Figure S7.6 (a) Leading demand with incremental expansion Demand Expected demand New capacity (b) Leading demand with a one-step expansion Demand Expected demand New capacity (c) Lagging demand with incremental expansion Demand New capacity Expected demand (d) Attempts to have an average capacity with incremental expansion Demand New capacity Expected demand This slide probably requires some discussion or explanation. Perhaps the best place to start is the left hand column where capacity either leads or lags demand incrementally. As you continue to explain the options, ask students to suggest advantages or disadvantages of each.
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Reducing Risk with Incremental Changes
(a) Leading demand with incremental expansion Demand Time (years) 1 2 3 New capacity Expected demand This slide probably requires some discussion or explanation. Perhaps the best place to start is the left hand column where capacity either leads or lags demand incrementally. As you continue to explain the options, ask students to suggest advantages or disadvantages of each. Figure S7.6 © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Reducing Risk with Incremental Changes
(b) Leading demand with a one-step expansion Figure S7.6 Demand Time (years) 1 2 3 New capacity Expected demand This slide probably requires some discussion or explanation. Perhaps the best place to start is the left hand column where capacity either leads or lags demand incrementally. As you continue to explain the options, ask students to suggest advantages or disadvantages of each.
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Reducing Risk with Incremental Changes
(c) Capacity lags demand with incremental expansion Demand Time (years) 1 2 3 New capacity Expected demand This slide probably requires some discussion or explanation. Perhaps the best place to start is the left hand column where capacity either leads or lags demand incrementally. As you continue to explain the options, ask students to suggest advantages or disadvantages of each. Figure S7.6 © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Reducing Risk with Incremental Changes
(d) Attempts to have an average capacity with incremental expansion Demand Time (years) 1 2 3 New capacity Expected demand This slide probably requires some discussion or explanation. Perhaps the best place to start is the left hand column where capacity either leads or lags demand incrementally. As you continue to explain the options, ask students to suggest advantages or disadvantages of each. Figure S7.6 © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Expected Monetary Value (EMV) and Capacity Decisions
Determine states of nature Future demand Market favorability Analyzed using decision trees Hospital supply company Four alternatives © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Expected Monetary Value (EMV) and Capacity Decisions
-$90,000 Market unfavorable (.6) Market favorable (.4) $100,000 Large plant Market favorable (.4) Market unfavorable (.6) $60,000 -$10,000 Medium plant Market favorable (.4) Market unfavorable (.6) $40,000 -$5,000 Small plant $0 Do nothing © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Expected Monetary Value (EMV) and Capacity Decisions
-$90,000 Market unfavorable (.6) Market favorable (.4) $100,000 Large plant Market favorable (.4) Market unfavorable (.6) $60,000 -$10,000 Medium plant Market favorable (.4) Market unfavorable (.6) $40,000 -$5,000 Small plant $0 Do nothing Large Plant EMV = (.4)($100,000) + (.6)(-$90,000) EMV = -$14,000 © 2011 Pearson Education, Inc. publishing as Prentice Hall
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Expected Monetary Value (EMV) and Capacity Decisions
-$14,000 -$90,000 Market unfavorable (.6) Market favorable (.4) $100,000 Large plant $18,000 Market favorable (.4) Market unfavorable (.6) $60,000 -$10,000 Medium plant Market favorable (.4) Market unfavorable (.6) $40,000 -$5,000 Small plant $0 Do nothing $13,000 © 2011 Pearson Education, Inc. publishing as Prentice Hall
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EMV Applied to Capacity Decision
Southern Hospital Supplies capacity expansion EMV (large plant) = (.4)($100,000) + (.6)(–$90,000) = –$14,000 EMV (medium plant) = (.4)($60,000) + (.6)(–$10,000) = +$18,000 EMV (small plant) = (.4)($40,000) + (.6)(–$5,000) = +$13,000 EMV (do nothing) = $0
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