Abstract
In this review, we summarize model-based research on contracts in the supply chain setting and provide a taxonomy for work in this area. During our discussions it became clear that the field has developed in many directions at once. Furthermore, as we surveyed the Uterature, it was not obvious what constitutes a contract in this context. While the nomenclature “supply chain management” is relatively new, many of the problems that are addressed are not. In particular, mathematical models for optimizing inventory control have a long history as a significant part of the mainstream of operations research and operations management. Inventory modeling, per se, dates to the early part of the century and the ideas of a Westinghouse engineer named Ford Harris (1915). A natural issue to address first is what is meant by supply chain management (SCM) research and how it relates to the vast body of work constituting classical inventory theory.
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References
Agrawal, N. and M.A. Cohen, “Optimal Material Control in an Assembly Environment with Component Commonality,” Working Paper, Leavey School of Business, Santa Clara University, 1997.
Agrawal, N., S.A. Smith, and A.A. Tsay, “Multi-Vendor Sourcing in a Retail Supply Chain,” Working Paper, Leavey School of Business, Santa Clara University, 1998.
Agrawal, N. and A.A. Tsay, “The Impact of Intrafirm Performance Incentives on Supply Chain Contracts,” Working Paper, Leavey School of Business, Santa Clara University, 1998.
Anupindi, R. and R. Akella, “An Inventory Model with Commitments,” Working Paper, Northwestern University, 1993.
Anupindi, R. and Y. Bassok, “Analysis of Supply Contracts with Total Minimum Commitment and Flexibility,” Proceedings of the 2nd International Symposium in Logistics, University of Nottingham, U.K., 1995.
Anupindi, R. and Y. Bassok, “Approximations for Multiproduct Contracts with Stochastic Demands and Business Volume Discounts: Single Supplier Case,” Working Paper, Northwestern University, 1997. To appear in IIE Transactions.
Baker, K.R., “Safety Stocks and Component Commonality,” Journal of Operations Management, 6, 1 (1985), 13–22.
Bannerjee, A., “A Joint Economic-Lot-Size Model for Purchaser and Vendor,” Decision Science, 17 (1986), 292–311.
Barnes-Schuster, D., Y. Bassok, and R. Anupindi, “The Effect of Delivery Lead Time in a Two-Stage Decentralized System,” Working Paper, Graduate School of Business, University of Chicago, 1997.
Barnes-Schuster, D., Y. Bassok, and R. Anupindi, “Supply Contracts with Options: Flexibility, Information and Coordination,” Working Paper, Graduate School of Business, University of Chicago, 1998.
Bassok, Y. and R. Anupindi, “Analysis of Supply Contracts with Forecasts and Flexibility,” Working Paper, Northwestern University, 1995.
Bassok, Y. and R. Anupindi, “Analysis of Supply Contracts with Total Minimum Commitment,” IIE Transactions, 29, 5 (1997a), 373–381.
Bassok, Y. and R. Anupindi, “Analysis of Supply Contracts with Commitments and Flexibility,” Working Paper, Northwestern University, 1997b.
Bessler, S.A. and A.F. Veinott, “Optimal Policy for a Dynamic Multi-Echelon Inventory Model,” Naval Research Logistics Quarterly, 13, 4 (1966), 355–389.
Blair, B.F. and T.R. Lewis, “Optimal Retail Contracts with Asymmetric Information and Moral Hazard,” Rand Journal of Economics, 25 (1994), 284–296.
Cachon, G.P. and M.A. Lariviere, “Capacity Choice and Allocation: Strategic Behavior and Supply Chain Performance,” Working Paper, The Fuqua School of Business, Duke University, 1996.
Cachon, G.P. and M.A. Lariviere, “Contracting to Assure Supply or What Did the Supplier Know and When Did He Know It?”, Working Paper, The Fuqua School of Business, Duke University, 1997a.
Cachon, G.P. and M.A. Lariviere, “Capacity Allocation Using Past Sales: When to Turn-and-Earn,” Working Paper, The Fuqua School of Business, Duke University, 1997b.
Chen, F., “Decentralized Supply Chains Subject to Information Delays,” Working Paper, Graduate School of Business, Columbia University, 1997.
Clark, A.J, “An Informal Survey of Multi-Echelon Inventory Theory,” Naval Research Logistics Quarterly, 19 (1972), 621–650.
Clark, A.J. and Scarf, H., “Optimal Policies for a Multiechelon Inventory Problem,” Management Science, 6 (1960), 475–490.
Cohen, M.A and N. Agrawal, “An Analytical Comparison of Long and Short Term Contracts,” Working Paper, Department of OPIM, The Wharton School, University of Pennsylvania, 1998.
Cohen, M.A., P.R. Kleindorfer, and H.L. Lee, “Service Constrained (s,S) Inventory Systems with Priority Demand Classes and Lost Sales,” Management Science, 34, 4 (1988), 482–499.
Corbett, C.J. and X. de Groote, “Integrated Supply-Chain Lot Sizing Under Asymmetric Information,” Working Paper, UCLA, 1997.
Daniel, K.H., “A Delivery-Lag Inventory Model With Emergency,” in H.E. Scarf, D.M. Gilford and M.W. Shelly (Eds.), Multistage Inventory Models and Techniques, Stanford University Press, Stanford, CA, 1963.
Dixit, A.K., “Quality and Quantity Competition,” Review of Economic Studies, 46 (1979), 587–599.
Donohue, K.L, “Supply Contracts for Fashion Goods: Optimizing Channel Profit,” Working Paper, Department of OPIM, The Wharton School, University of Pennsylvania, 1996.
Emmons, H. and S.M. Gilbert, “Note: The Role of Returns Policies in Pricing and Inventory Decisions for Catalogue Goods,”Management Science, 44, 2 (1998), 276–283.
Eppen, G.D., “Effects of Centralization on Expected Costs in a Multi-Location Newsboy Problem,” Management Science, 25, 5 (1979), 498–501.
Eppen, G.D. and A.V. Iyer, “Backup Agreements in Fashion Buying-The Value of Upstream Flexibility,” Management Science, 43 (1997), 1469–1484.
Eppen, G.D. and L. Schrage, “Centralized Ordering Policies in a Multi-Warehouse System with Lead Times and Random Demand,” In L.B. Schwarz, (Ed.), Multi-Level Production/Inventory Control Systems: Theory and Practice, Netherlands: North-Holland Publishing Co., 1981, 51–67.
Federgruen, A., “Centralized Planning Models for Multi-Echelon Inventory Systems Under Uncertainty,” in S.C. Graves, A.H.G. Rinnooy Kan and P.H. Zipkin (Eds.), Handbooks in Operations Research and Management Science, Vol 4 (Logistics of Production and Inventory), Elsevier Science Publishing Company B.V., Amsterdam, The Netherlands, 1993, 133–173.
Fukuda, Y., “Optimal Policies for the Inventory Problem with Negotiable Lead-time,” Management Science, 10 (1964), 690–708.
Gerchak, Y. and M. Henig, “Component Commonality in Assemble-To-Order Systems: Models and Properties,” Naval Research Logistics Quarterly, 36 (1989), 61–68.
Gilbert, S.M. and Z.K. Weng, “Incentive Effects Favor Non-Consolidating Queues in a Service System: The Principal-Agent Perspective,” Working Paper, Weatherhead School of Management, Case Western Reserve University, 1997.
Grout, J.R. and D.P. Christy, “An Inventory Model of Incentives for On-Time Delivery in Just-in-Time Purchasing Contracts,” Naval Research Logistics, 40 (1993), 863–877.
Ha, A.Y., “Supply Contract for a Short-Life-Cycle Product with Demand Uncertainty and Asymmetric Cost Information,” Working Paper, Yale School of Management, 1997a.
Ha, A.Y., “Inventory Rationing in a Make-to-Stock Production System with Several Demand Classes and Lost Sales,” Management Science, 43, 8 (1997b), 1093–1103.
Hammond, J.H., “Barilla SpA (A),” HBS Case 9–694–046, Harvard Business School Publishing, Boston, MA, 1994.
Hausman, W.H., H.L. Lee, and L. Zhang, “Optimal Ordering for an Inventory System with Dual Lead Times,” Working Paper, Department of Industrial Engineering-Engineering Management, Stanford University, 1994.
Harris, F.W., Operations And Cost (Factory Management Series), Shaw, Chicago, 1915.
Iyer, A. and M.E. Bergen, “Quick Response in Manufacturer-Retailer Channels,” Management Science, 43, 4 (1997), 559–570.
Jackson, P.L., “Stock Allocation in a Two-Echelon Distribution System or ‘What to Do Until Your Ship Comes In’,” Management Science, 34, 7 (1988), 880–895.
Jeuland, A.P. and S.M. Shugan, “Managing Channel Profits,” Marketing Science, 2 (1983), 239–272.
Jonsson, H. and E. A. Silver, “Overview of a Stock Allocation Model for a Two-Echelon Push System Having Identical Units at the Lower Echelon,” In S. Axsater, C. Schneeweiss and E.A. Silver, (Eds.), Multi-Stage Production Planning and Inventory Control: Lecture Notes in Economics and Mathematical Systems, 266, Berlin: Springer-Verlag, 1981, 44–49.
Juran, J.M. and F.M. Gryna, Juran’s Quality Control Handbook, 4th Edition, McGraw-Hill, New York, 1988.
Kandel, E., “The Right to Return,” Journal of Law and Economics, 39 (1996), 329–356.
Katz, M.L., “Vertical Contractual Relations,” in R. Schmalensee and R.D. Willig (Eds.), Handbook of Industrial Organization: Volume I, Elsevier Science Publishers B.V., New York, NY, 1989.
Kumar, A., P.S. Giridharan, and R. Akella, “Control Structures, Performance and Incentives: An Operations Management Perspective,” Working Paper, Department of Engineering Economic Systems, Stanford University, 1996.
Kumar, N., “The Power of Trust in Manufacturer-Retailer Relationships,” Harvard Business Review, 74 (1996), 92–106.
Lawson, D.G. and E.L. Porteus, “Dynamic Lead Time Management,” Research Paper #1409, Graduate School of Business, Stanford University, 1996.
Lee, H.L., “Effective Inventory and Service Management Through Product and Process Redesign,” Operations Research, 44 (1996), 151–159.
Lee, H.L., C. Billington, and B. Carter, “Hewlett-Packard Gains Control of Inventory and Service Through Design for Localization,” Interfaces, 23 (1993), 1–11.
Lee, H.L., V. Padmanabhan, and S. Whang, “Information Distortion in a Supply Chain: The Bullwhip Effect,” Management Science, 43 (1997), 546–558.
Lee, H.L. and M.J. Rosenblatt, “A Generalized Quantity Discount Pricing Model to Increase Supplier’s Profits,” Management Science, 30 (1986), 1179–1187.
Lee, H.L. and S. Whang, “Decentralized Multi-Echelon Supply Chains: Incentives and Information,” Working Paper, Graduate School of Business, Stanford University, 1997.
Li, C. and P. Kouvelis, “Flexible and Risk-Sharing Supply Contracts Under Price Uncertainty,” Working Paper, Olin School of Business, Washington University, 1997.
Milner, J.M. and M.J. Rosenblatt, “Two-Period Supply Contracts: Order Adjustments and Penalties,” Working Paper, Olin School of Business, Washington University, 1997.
Moinzadeh, K. and C. Ingene, “An Inventory Model of Immediate and Delayed Delivery,” Management Science, 39, 5 (1993), 536–548.
Moinzadeh, K. and S. Nahmias, “Adjustment Strategies for a Fixed Delivery Contract,” Working Paper, University of Washington, 1997.
Monahan, J.P., “A Quantitative Discount Pricing Model to Increase Vendor Profits,” Management Science, 30 (1984), 720–726.
Moorthy, K.S., “Managing Channel Profits: Comment,” Marketing Science, 6, 4 (1987), 375–379.
Nahmias, S., Production and Operations Analysis, Irwin, Homewood, IL, 1997.
Nahmias, S. and W.S. Demmy, “Operating Characteristics of an Inventory System with Rationing,” Management Science, 27 (1981), 1236–1244.
Narayanan, V.G. and A. Raman, “Assignment of Stocking Decision Rights under Incomplete Contracting,” Working Paper, Harvard Business School, 1997.
Pasternack, B.A., “Optimal Pricing and Returns Policies for Perishable Commodities,” Marketing Science, 4 (1985), 166–176.
Porteus, E.L., “Stochastic Inventory Theory,” in D.P. Heyman and M.J. Sobel (Eds.), Handbook in Operations Research and Management Science, Volume 2 (Stochastic Models), Elsevier Science Publishers B.V., 1990, 605–652.
Porteus, E.L. and S. Whang, “On Manufacturing/Marketing Incentives,” Management Science, 37, 9 (1991), 1166–1181.
Reyniers, D.J. and CS. Tapiero, “The Delivery and Control of Quality in Supplier-Producer Contracts,” Management Science, 41, 10 (1995), 1581–1589.
Rosenblatt, M.J. and H.L. Lee, “Improving Profitability with Quantity Discounts under Fixed Demand,” IIE Transactions, 17, 4 (1985), 388–395.
Rosling, K., “Optimal Inventory Policies for Assembly Systems Under Random Demands,” Operations Research, 37 (1989), 565–579.
Schwarz, L.B., Multi-Level Production/Inventory Control Systems: Theory and Practice, North-Holland Publishing Company, New York, NY, 1981.
Spence, A.M., “Monopoly, Quality, and Regulation,” Bell Journal of Economics, 6 (1975), 417–429.
Spengler, J.J, “Vertical Restraints and Antitrust Policy,” Journal of Political Economy, 58 (1950), 347–352.
Starbird, S.A., “The Effect of Acceptance Sampling and Risk Aversion on the Quality Delivered by Suppliers,” Journal of the Operational Research Society, 45, 3 (1994), 309–320.
Starbird, S.A., “Acceptance Sampling, Imperfect Production, and the Optimally of Zero Defects,” Naval Research Logistics, 44 (1997a), 515–530.
Starbird, S.A., “Supply Chain Management, Joint Cost Optimization, and Quality,” Working Paper, Leavey School of Business, Santa Clara University, 1997b.
Tagaras, G. and H.L. Lee, “Economic Models for Vendor Evaluation with Quality Cost Analysis,” Management Science, 42, 11 (1996), 1531–1543.
Tiróle, J., The Theory of Industrial Organization, The MIT Press, Cambridge, MA, 1988.
Tsay, A.A, “The Quantity Flexibility Contract and Supplier-Customer Incentives,” Working Paper, Leavey School of Business, Santa Clara University, 1996.
Tsay, A.A. and W.S. Lovejoy, “Quantity Flexibility Contracts and Supply Chain Performance,” Working Paper, Leavey School of Business, Santa Clara University, 1998. To appear in Manufacturing & Service Operations Management.
Verity, J.W., “Clearing the Cobwebs from the Stockroom,” Business Week, October 21, 1996, p. 140.
Weng, Z.K., “Channel Coordination and Quantity Discounts,” Management Science, 41 (1995), 1509–1522.
Weng, Z.K., “Pricing and Ordering Strategies in Manufacturing and Distribution Alliances,” IIE Transactions, 29 (1997a), 681–692.
Weng, Z.K., “Coordination Strategies for Aligning Divergent Interests in a Manufacturing and Distribution Supply Chain,” Working Paper, School of Business, University of Wisconsin-Madison, 1997b.
Weng, Z.K., “A Decision Framework for the Manufacturer to Coordinate with the Buyer,” Working Paper, School of Business, University of Wisconsin-Madison, 1997c.
Whang, S., “Coordination in Operations: A Taxonomy,” Journal of Operations Management, 12 (1995), 413–422.
Yano, C.A. and H.L. Lee, “Lot Sizing with Random Yields: A Review,” Operations Research, 43, 2 (1995), 311–334.
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Tsay, A.A., Nahmias, S., Agrawal, N. (1999). Modeling Supply Chain Contracts: A Review. In: Tayur, S., Ganeshan, R., Magazine, M. (eds) Quantitative Models for Supply Chain Management. International Series in Operations Research & Management Science, vol 17. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4949-9_10
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