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Chapter 18 of Business Dynamics
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The Manufacturing Supply Chain
This chapter adapts the stock management structure of the previous chapter to represent the supply chain in manufacturing firms
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The stock management structure…
Is broken up into An order fulfillment structure A production starts structure A demand forecasting component
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Overview Production Model
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Key management decisions are made by
Order Fulfillment Production Scheduling
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Three Balancing Loops Stockout loop regulates shipments as inventory varies Inventory and WIP Control Loops adjust production starts to move the levels of inventory and WIP toward their desired levels
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In this initial model there are…
No capacity constraints (from either labor or capital) No stocks of materials
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Production Structure
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Production Rate = DELAY3(Production Start Rate, Manufacturing Cycle time)
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Terms Manufacturing Cycle Time—the average transit time for all items aggregated together in the model Manufacturing delay is being modeled as a fourth-order material (flow) delay
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An Order Fulfillment Structure
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Table for Order Fulfillment
From Fig. 18-3
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Desired Shipment Rate =
Customer Order Rate
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Order Fulfillment Ratio =
Table for Order Fulfillment(Maximum Shipment Rate/Desired Shipment Rate)
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Minimum Order Processing Time =
6 Is a constant
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Maximum Shipment Rate =
Inventory/Minimum Order Processinig Time
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Safety Stock coverage =
6 Is a constant
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Time to Average Order Rate =
6 Is a constant
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Desired Inventory coverage =
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Minimum Order Processing Time =
6 Is a constant
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Desired Inventory = whatever
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Adjustment for Inventory =
Difference between desired inventory and actual inventory, all divided by the Inventory Adjustment Time
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Inventory Adjustment Time =
6 Is a constant
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A production starts structure
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Manufacturing Cycle time =
6 Is a constant
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Desired WIP = Manufacturing Cycle Time * Desired Production
This is an implementation of Little’s Law
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WIP Adjustment Time = 6 Is a constant
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Adjustment for WIP = Guess: f(Desired WIP, WIP Adjustment time, Work in Process Inventory)
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Desired Production = MAX(0, Expected Order Rate + Adjustment for Inventory)
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Desired Production Start Rate =
Adjustment for WIP + Desired Production
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Production Start Rate =
MAX(0, Desired Production Start Rate)
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A demand forecasting component
This structure simply smoothes the customer order rate, much like exponential smoothing would do to provide a realistic model of the forecasting process used in many firms
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The demand forecasting structure
What is the equation for Change in Exp Orders?
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Typical constants Minimum order processing time = 2 wks
Safety Stock Coverage = 2 wks Manufacturing Cycle Time = 8 wks Inventory Adjustment Time = 8 wks WIP Adjustment Time = 2 wks
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Initial Stocks for Equilibrium
Initial Inventory = Desired Inventory\ Initial WIP = Desired WIP Initial Expected Order Rate = Customer Order Rate These are all the initial conditions needed to create an initial equilibrium
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Behavior—Inventory Inventory drops below desired inventory
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Behavior—The Rates
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What the rate BOT charts tell us
Amplification of the customer order rates by the production starts rate is unavoidable This is what causes the bull whip effect in supply chains, especially when suppliers are linked to the manufacturer by JIT Kanban or signaling systems There is a phase lag between receipt of the order and its fulfillment There is no significant oscillation
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What about backlogs? Boeing, like not other manufacturer, carries backlogs stretching out years. Boeing is a make to order manufacturer Consideration of backlogs modifies the order fulfillment structure
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The backlog structure
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Backlog equations What is the equation for backlog?
The equation for delivery delay is formulated from one of the most important principles in Operations Management—Little’s Law: Delivery delay = backlog/order fulfillment rate Desired Shipment Rate = Backlog/Target Delivery Delay
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More Backlog Equations
Order fulfillment rate = shipment rate These are, however, totally different entities Shipment rate is a physical flow Order fulfillment rate is an information accounting that reduces the amount of backlog within the computer’s database
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Materials Inventory
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The final single supplier model
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