20 - Supply Chain Coordination

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University of Washington *

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Economics

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Feb 20, 2024

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Supply Chain Management: Coordination Outline: 1. Introduction 2. Vendor Managed Inventory 1. Introduction How can different members of a supply-chain collaborate to provide better service to the final customer at a lower overall cost? With more and more competitions nowadays based on supply chains, the goal of supply chain management is the minimization of total supply chain cost, including - transportation costs - inventory carrying costs - shortage costs Turning adversarial relationship into cooperative and collaborative relationship is often the key to supply chain success.
2. Vendor Managed Inventory (VMI) Barilla’s proposal to distributors: Just-In-Time Distribution (JITD), a.k.a. VMI Distributor’s warehouse reports inventory and sales data to Barilla. Barilla decides how much and when to ship product to the distributor. Before: After: Downstream variability at DC: mean demand is about 300, the std. dev. is about 75 Upstream variability is much higher (std. dev = 227) Upstream variability is much higher (std. dev = 227) Manufacturer Distributor’s Warehouse Market
Pros and Cons to Barilla (supplier): Pros & Cons to distributor (or sometimes retailer): Others?
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3. Supply Chain Contracts Consider a seasonal apparel supply chain with long lead time and short season: - Also, uncertain demand Your forecast Ratio of sales (left: right) = _____ : _____ Sales forecast of a particular item has the following distribution. Order Cycle Feb Y-2 : Design process started (the annual international outdoorswear show) Mar Y-2 : Trade show provided additional input May Y-2 : Design concepts finalized; sketches sent for prototype production Sep Y-2 : Designs refined and finalized Sep Y-2 to Spring Y-1 : Sample garments produced and shown to retailers Order Cycle Mar Y-1 : Trade show (typically 80% of annual order volume) Jun-Jul Y-1 : Garments transported from Hong Kong to Denver Aug Y-1 : Production in August air-shipped to Denver End of Aug Y-1 : Orders shipped to retailers via UPS and RPS Sep-Jan Y-1 : Sales season Dec-Jan Y-1 : Retailers place additional orders
8000 0.11 10000 0.11 12000 0.28 14000 0.22 16000 0.18 18000 0.1 Goal: Order the right quantity to maximize profit. - Production cost per unit (c): $80 - Selling price per unit (r): $125 - Salvage value per unit (s): $20 How to find the corresponding maximum profit? Suppose you make 12,000 jackets. 1. Scenario One: demand is 8,000 (with probability 0.11) Profit = Revenue – Cost + Salvage = 125(8,000) - 80(12,000) + 20(4,000) = $120,000 2. All the scenarios: quantity 12000 probability demand revenue salvage cost profit scenario 1 0.11 8000 1,000,000 $ 80,000 $ 960,000 $ 120,000 $ scenario 2 0.11 10000 1,250,000 $ 40,000 $ 960,000 $ 330,000 $ scenario 3 0.28 12000 1,500,000 $ - $ 960,000 $ 540,000 $ scenario 4 0.22 14000 1,500,000 $ - $ 960,000 $ 540,000 $ scenario 5 0.18 16000 1,500,000 $ - $ 960,000 $ 540,000 $ scenario 6 0.1 18000 1,500,000 $ - $ 960,000 $ 540,000 $ Total expected profit 470,700 $
quantity profit 8000 360,000 $ 9000 393,450 $ 10000 426,900 $ 11000 448,800 $ 12000 470,700 $ 13000 463,200 $ 14000 455,700 $ 15000 425,100 $ 16000 394,500 $ 17000 345,000 $ 18000 295,500 $ Observation 1: 12,000 indeed gives us the highest expected profit Observation 2: 9,000 and 16,000 roughly gives the same expected profit, which one is more preferrable? quantity 9000 probability demand revenue salvage cost profit scenario 1 0.11 8000 1,000,000 $ 20,000 $ 720,000 $ 300,000 $ scenario 2 0.11 10000 1,125,000 $ - $ 720,000 $ 405,000 $ scenario 3 0.28 12000 1,125,000 $ - $ 720,000 $ 405,000 $ scenario 4 0.22 14000 1,125,000 $ - $ 720,000 $ 405,000 $ scenario 5 0.18 16000 1,125,000 $ - $ 720,000 $ 405,000 $ scenario 6 0.1 18000 1,125,000 $ - $ 720,000 $ 405,000 $ Total expected profit 393,450 $ quantity 16000 probability demand revenue salvage cost profit scenario 1 0.11 8000 1,000,000 $ 160,000 $ 1,280,000 $ (120,000) $ scenario 2 0.11 10000 1,250,000 $ 120,000 $ 1,280,000 $ 90,000 $ scenario 3 0.28 12000 1,500,000 $ 80,000 $ 1,280,000 $ 300,000 $ scenario 4 0.22 14000 1,750,000 $ 40,000 $ 1,280,000 $ 510,000 $ scenario 5 0.18 16000 2,000,000 $ - $ 1,280,000 $ 720,000 $ scenario 6 0.1 18000 2,000,000 $ - $ 1,280,000 $ 720,000 $ Total expected profit 394,500 $ As production quantity increases, risk increases. In other words, the probability of large gains and of large losses increases
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8000 0.11 0.11 10000 0.11 0.22 12000 0.28 0.5 14000 0.22 0.72 16000 0.18 0.9 18000 0.1 1 Now consider a simple supply chain: Assuming the same demand distribution, how will the retailer order? What is the manufacturer’s profit? How much does the manufacturer want the retailer to order? Is there anything that the distributor and manufacturer can do to increase the profit of both?
8000 0.11 0.11 10000 0.11 0.22 12000 0.28 0.5 14000 0.22 0.72 16000 0.18 0.9 18000 0.1 1 4.1 Buyback Contract What if the retailer can return the unsold items for a partial refund ($40 each)? Ce = 80 – 40 = $40 How much will the retailer order now? Its profit? cost c 80 revenue p 125 salvage s 40 critical rati 0.5294118 quantity 14000 probability demand revenue salvage cost profit scenario 1 0.11 8000 1,000,000 $ 240,000 $ 1,120,000 $ 120,000 $ scenario 2 0.11 10000 1,250,000 $ 160,000 $ 1,120,000 $ 290,000 $ scenario 3 0.28 12000 1,500,000 $ 80,000 $ 1,120,000 $ 460,000 $ scenario 4 0.22 14000 1,750,000 $ - $ 1,120,000 $ 630,000 $ scenario 5 0.18 16000 1,750,000 $ - $ 1,120,000 $ 630,000 $ scenario 6 0.1 18000 1,750,000 $ - $ 1,120,000 $ 630,000 $ Total expected profit 488,900 $ The manufacturer’s profit? quantity 14000 probability demand revenue cost return profit scenario 1 0.11 8000 1,120,000 $ 490,000 $ 240,000 $ 390,000 $ scenario 2 0.11 10000 1,120,000 $ 490,000 $ 160,000 $ 470,000 $ scenario 3 0.28 12000 1,120,000 $ 490,000 $ 80,000 $ 550,000 $ scenario 4 0.22 14000 1,120,000 $ 490,000 $ - $ 630,000 $ scenario 5 0.18 16000 1,120,000 $ 490,000 $ - $ 630,000 $ scenario 6 0.1 18000 1,120,000 $ 490,000 $ - $ 630,000 $ expected profit 563,600 $ manufacturer Total Profit? Win-Win? 488,900+563,600 vs. 470.700 + 540,000 Textbook industry Supplier agrees to purchase leftover at end of the selling season from retailers. There are many variations: (Full refund, full return), (Full refund, partial return), (Partial refund, full return), (Combined return for multi-product orders). What are the benefits and potential drawbacks?
4.2 Revenue Sharing Contract What if (1) wholesale price = $50, (2) manufacturer gets 25% of sales revenue? Cs = 75%*125-50 = $43.75 Ce = 50-20 = $30 critical ratio 0.593220339 quantity 14000 probability demand revenue salvage cost Profit scenario 1 0.11 8000 750,000 $ 120,000 $ 700,000 $ 170,000 $ scenario 2 0.11 10000 937,500 $ 80,000 $ 700,000 $ 317,500 $ scenario 3 0.28 12000 1,125,000 $ 40,000 $ 700,000 $ 465,000 $ scenario 4 0.22 14000 1,312,500 $ - $ 700,000 $ 612,500 $ scenario 5 0.18 16000 1,312,500 $ - $ 700,000 $ 612,500 $ scenario 6 0.1 18000 1,312,500 $ - $ 700,000 $ 612,500 $ Total expected profit 490,075 $ quantity 14000 probability demand revenue cost profit scenario 1 0.11 8000 950,000 $ 490,000 $ 460,000 $ scenario 2 0.11 10000 1,012,500 $ 490,000 $ 522,500 $ scenario 3 0.28 12000 1,075,000 $ 490,000 $ 585,000 $ scenario 4 0.22 14000 1,137,500 $ 490,000 $ 647,500 $ scenario 5 0.18 16000 1,137,500 $ 490,000 $ 647,500 $ scenario 6 0.1 18000 1,137,500 $ 490,000 $ 647,500 $ expected profi 595,625 $ manufacturer Total Profit? Win-Win? 490,075+595,625 vs. 470.700 + 540,000 pVideo rental industry Old practice - Retailers could buy videotapes (at $65 each) - Problems with meeting peak demand Revenue sharing contract - Purchase tapes for $8 each; 45% of retail revenue goes to studio (the price and percentage may vary) Results - Market share increased significantly (from 25% to 31%); in test markets, rentals increased as much as 75% What is impact on retailer? Studio? How should contract be structured?
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