Purchase contract management with demand forecast updates

We study a two-stage purchase contract with a demand forecast update. The purchase contract provides the buyer an opportunity to adjust an initial commitment based on an updated demand forecast obtained at a later stage. An adjustment, if any, incurs a fixed as well as a variable cost. Using a dynamic programming formulation, we obtain optimal solutions for a class of demand distributions. We also discuss how these results can be applied to gain managerial insights that help in making decisions regarding where to allocate efforts in improving the forecast quality and whether or not to sign a contract. Contributed by the Supply Chains/Production-Inventory Systems Department

[1]  S. Graves,et al.  Supply chain management : design, coordination and operation , 2003 .

[2]  E. Silver,et al.  A Bayesian Analysis of the Style Goods Inventory Problem , 1966 .

[3]  Averill M. Law,et al.  Simulation Modeling and Analysis , 1982 .

[4]  Gérard P. Cachon Supply Chain Coordination with Contracts , 2003, Supply Chain Management.

[5]  I. J. Schoenberg On smoothing operations and their generating functions , 1953 .

[6]  Ananth V. Iyer,et al.  Backup agreements in fashion buying—the value of upstream flexibility , 1997 .

[7]  Ravi Anupindi,et al.  Analysis of supply contracts with total minimum commitment , 1997 .

[8]  Suresh P. Sethi,et al.  Peeling Layers of an Onion: Inventory Model with Multiple Delivery Modes and Forecast Updates , 2001 .

[9]  Evan L. Porteus Foundations of Stochastic Inventory Theory , 2002 .

[10]  W. Lovejoy Myopic policies for some inventory models with uncertain demand distributions , 1990 .

[11]  Mokhtar S. Bazaraa,et al.  Nonlinear Programming: Theory and Algorithms , 1993 .

[12]  Suresh P. Sethi,et al.  Inventory Models with Fixed Costs, Forecast Updates, and Two Delivery Modes , 2003, Oper. Res..

[13]  Ananth V. Iyer,et al.  Quick Response in Manufacturer-Retailer Channels , 1997 .

[14]  Suresh P. Sethi,et al.  A theory of rolling horizon decision making , 1991, Ann. Oper. Res..

[15]  Yehuda Bassok,et al.  Coordination and Flexibility in Supply Contracts with Options , 2002, Manuf. Serv. Oper. Manag..

[16]  I. J. Schoenberg On Polya frequency functions , 1951 .

[17]  Ravi Anupindi,et al.  Approximations for multiproduct contracts with stochastic demands and business volume discounts: single supplier case , 1998 .

[18]  K. Donohue Efficient Supply Contracts for Fashion Goods with Forecast Updating and Two Production Modes , 2000 .

[19]  J. Cooper TOTAL POSITIVITY, VOL. I , 1970 .

[20]  Marshall L. Fisher,et al.  Reducing the Cost of Demand Uncertainty Through Accurate Response to Early Sales , 1996, Oper. Res..

[21]  Christopher S. Tang,et al.  Optimal Ordering Decisions with Uncertain Cost and Demand Forecast Updating , 1999 .