THE VALUE OF INFORMATION SHARING IN A TWO-STAGE SUPPLY CHAIN WITH PRODUCTION CAPACITY CONSTRAINTS: THE INFINITE HORIZON CASE

We study the value of information sharing in a two-stage supply chain with a single manufacturer and a single retailer in an infinite time horizon, where the manufacturer has finite production capacity and the retailer faces independent demand. The manufacturer receives demand information even during periods of time in which the retailer does not order. Allowing for time-varying cost functions, our objective is to characterize the impact of information sharing on the manufacturer's cost and service level. We develop a new approach to characterize the induced Markov chains under cyclic order-up-to policy and provide a simple proof for the optimality of cyclic order-up-to policy for the manufacturer under the average cost criterion. Using extensive computational analysis, we quantify the impact of information sharing on the manufacturer's performance in an infinite time horizon under both i.i.d. demand and independent but nonstationary demand.

[1]  Frank Y. Chen,et al.  Quantifying the Bullwhip Effect in a Simple Supply Chain: The Impact of Forecasting, Lead Times, and Information.: The Impact of Forecasting, Lead Times, and Information. , 2000 .

[2]  Linn I. Sennott,et al.  Average Cost Optimal Stationary Policies in Infinite State Markov Decision Processes with Unbounded Costs , 1989, Oper. Res..

[3]  Hau L. Lee,et al.  Information distortion in a supply chain: the bullwhip effect , 1997 .

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

[5]  S. Karlin Dynamic Inventory Policy with Varying Stochastic Demands , 1960 .

[6]  Daniel P. Heyman,et al.  Stochastic models in operations research , 1982 .

[7]  Richard L. Tweedie,et al.  Markov Chains and Stochastic Stability , 1993, Communications and Control Engineering Series.

[8]  Paul H. Zipkin,et al.  Customer-order information, leadtimes, and inventories , 1995 .

[9]  Paul Glasserman,et al.  Sensitivity Analysis for Base-Stock Levels in Multiechelon Production-Inventory Systems , 1995 .

[10]  Sridhar R. Tayur,et al.  A Capacitated Production-Inventory Model with Periodic Demand , 1998, Oper. Res..

[11]  M. Reiman,et al.  Echelon Reorder Points, Installation Reorder Points, and the Value of Centralized Demand Information , 1998 .

[12]  Awi Federgruen,et al.  Stochastic Inventory Models with Limited Production Capacity and Periodically Varying Parameters , 1997, Probability in the Engineering and Informational Sciences.

[13]  Christopher S. Tang,et al.  The Value of Information Sharing in a Two-Level Supply Chain , 2000 .

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

[15]  Paul H. Zipkin,et al.  Critical Number Policies for Inventory Models with Periodic Data , 1989 .

[16]  Martin L. Puterman,et al.  Markov Decision Processes: Discrete Stochastic Dynamic Programming , 1994 .

[17]  R. Kapuściński,et al.  Value of Information in Capacitated Supply Chains , 1999 .

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

[19]  Michael C. Fu,et al.  Optimization via simulation: A review , 1994, Ann. Oper. Res..

[20]  L. Sennott Stochastic Dynamic Programming and the Control of Queueing Systems , 1998 .

[21]  Paul J. Schweitzer,et al.  Denumerable Undiscounted Semi-Markov Decision Processes with Unbounded Rewards , 1983, Math. Oper. Res..

[22]  Marshall L. Fisher,et al.  Supply Chain Inventory Management and the Value of Shared Information , 2000 .

[23]  J. Kemeny,et al.  Denumerable Markov chains , 1969 .

[24]  Awi Federgruen,et al.  An Inventory Model with Limited Production Capacity and Uncertain Demands II. The Discounted-Cost Criterion , 1986, Math. Oper. Res..

[25]  V. Kulkarni Modeling and Analysis of Stochastic Systems , 1996 .