Peeling Layers of an Onion: Inventory Model with Multiple Delivery Modes and Forecast Updates

This paper is concerned with a periodic review inventory system with fast and slow delivery modes and regular demand forecast updates. At the beginning of each period, on-hand inventory and demand information are updated. At the same time, decisions on how much to order using fast and slow delivery modes are made. Fast and slow orders are delivered at the end of the current and the next periods, respectively. It is shown that there exists an optimal Markov policy and that it is a modified base-stock policy.

[1]  Howard E. Thompson,et al.  Optimality of Myopic Inventory Policies for Certain Dependent Demand Processes , 1975 .

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

[3]  Ananth V. Iyer,et al.  Improved Fashion Buying with Bayesian Updates , 1997, Oper. Res..

[4]  S. Sethi,et al.  Inventory Models with Markovian Demands and Cost Functions of Polynomial Growth , 1998 .

[5]  Jing-Sheng Song,et al.  Inventory Control in a Fluctuating Demand Environment , 1993, Oper. Res..

[6]  Özalp Özer,et al.  Integrating Replenishment Decisions with Advance Demand Information , 2001, Manag. Sci..

[7]  Yoichiro Fukuda.  Optimal Policies for the Inventory Problem with Negotiable Leadtime , 1964 .

[8]  Warren H. Hausman,et al.  Sequential Decision Problems: A Model to Exploit Existing Forecasters , 1969 .

[9]  J. Kiefer,et al.  The Inventory Problem: II. Case of Unknown Distributions of Demand , 1952 .

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

[11]  Suresh P. Sethi,et al.  Optimality of (s, S) Policies in Inventory Models with Markovian Demand , 1995, Oper. Res..

[12]  Alan Scheller-Wolf,et al.  A Markovian Dual-Source Production-Inventory Model with Order Bands , 1998 .

[13]  Victoria L. Zhang.  Ordering policies for an inventory system with three supply modes , 1996 .

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

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

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

[17]  D. Heath,et al.  Modelling the evolution of demand forecasts with application to safety stock analysis in production distribution systems , 1994 .

[18]  R. D. Hughes,et al.  Mathematical Theory of Production Planning. , 1984 .

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

[20]  William S. Lovejoy,et al.  Quantity Flexibility Contracts and Supply Chain Performance , 1999, Manuf. Serv. Oper. Manag..