Managing a noncooperative supply chain with limited capacity

Operations Research

Volumn 59, Issue 4, 2011, Pages 866-881

  Parker, Rodney P ^a   Kapuściński, Roman ^b  

^a UNIVERSITY OF CHICAGO   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Capacity; Competition; Inventory; Markov games; Supply chain

Indexed keywords

BASE STOCK POLICY; CAPACITY; CAPACITY LIMIT; CAPACITY UTILIZATION; CHANNEL EFFICIENCY; DECENTRALIZED SYSTEM; EQUILIBRIUM POLICY; EQUILIBRIUM SOLUTIONS; INFINITE HORIZONS; INTEGRATED SYSTEMS; INVENTORY; LIMITED CAPACITY; MARKOV GAMES; NUMERICAL STUDIES; STOCHASTIC DEMAND; SUBOPTIMALITY; TWO STAGE; VALUE FUNCTIONS;

BEHAVIORAL RESEARCH; COMPETITION; PROFITABILITY; STOCHASTIC MODELS; SUPPLY CHAINS;

SUPPLY CHAIN MANAGEMENT;

EID: 80053253656     PISSN: 0030364X     EISSN: 15265463     Source Type: Journal    
DOI: 10.1287/opre.1110.0927     Document Type: Article

References (27)

1. Arrow, K. J., M. J. Beckmann, S. Karlin. 1958. The optimal expansion of the capacity of a firm. K. J. Arrow, S. Karlin, H. Scarf, eds. Studies in the Mathematical Theory of Inventory and Production. Stanford University Press, Stanford, CA.
2. Basa̧r, T., G. J. Olsder. 1999. Dynamic Noncooperative Game Theory, 2nd ed. Society for Industrial and Applied Mathematics, Philadelphia.
3. Börgers, T. 1989. Perfect equilibrium histories of finite and infinite horizon games. J. Econom. Theory 47 218-227.
4. Cachon, G. P. 2003. Supply chain coordination with contracts. A. G. de Kok, S. C. Graves, eds. Supply Chain Management: Design, Coordination, and Operation. Handbooks in Operations Research and Management Science, Vol. 11. Elsevier, Amsterdam.
5. Cachon, G. P., P. H. Zipkin. 1999. Competitive and cooperative inventory policies in a two-stage supply chain. Management Sci. 45 (7) 936-953.
6. Chen, F. 1999. Decentralized supply chains subject to information delays. Management Sci. 45 (8) 1076-1090. (Pubitemid 32077675)
7. Clark, A. J., H. Scarf. 1960. Optimal policies for a multi-echelon inventory problem. Management Sci. 6 (4) 475-490.
8. Donohue, K. L. 2000. Efficient supply contracts for fashion goods with forecast updating and two production modes. Management Sci. 46 (11) 1397-1411.
9. Federgruen, A., P. H. Zipkin. 1984. Computational issues in an infinitehorizon multiechelon inventory model. Oper. Res. 32 (4) 818-836. (Pubitemid 14641216)
10. Federgruen, A., P. H. Zipkin. 1986a. An inventory model with limited production capacity and uncertain demands I: The average-cost criterion. Math. Oper. Res. 11 (2) 193-207. (Pubitemid 16566991)
11. Federgruen, A., P. H. Zipkin. 1986b. An inventory model with limited production capacity and uncertain demands II: The discounted-cost criterion. Math. Oper. Res. 11 (2) 208-215. (Pubitemid 16566992)
12. Filar, J., K. Vrieze. 1997. Competitive Markov Decision Processes. Springer-Verlag, New York.
13. Fudenberg, D., D. Levine. 1983. Subgame-perfect equilibria of finite-and infinite-horizon games. J. Econom. Theory 31 (2) 251-268.
14. Fudenberg, D., J. Tirole. 1991. Game Theory. MIT Press, Cambridge, MA.
15. Glasserman, P., S. Tayur. 1994. The stability of a capacitated, multiechelon production-inventory system under a base-stock policy. Oper. Res. 42 (5) 913-925.
16. Hall, J., E. Porteus. 2000. Customer service competition in capacitated systems. Manufacturing Service Oper. Management 2 (2) 144-165.
17. Janakiraman, G., J. A. Muckstadt. 2009. A decomposition approach for a class of capacitated serial systems. Oper. Res. 57 (6) 1384-1393.
18. Kapuściński, R., S. Tayur. 1998. A capacitated production-inventory model with periodic demand. Oper. Res. 46 (6) 899-911. (Pubitemid 128665750)
19. Kirman, A. P., M. J. Sobel. 1974. Dynamic oligopoly with inventories. Econometrica 42 (2) 279-287.
20. Lippman, S. A., K. F. McCardle. 1997. The competitive newsboy. Oper. Res. 45 (1) 54-65. (Pubitemid 127684686)
21. Maskin, E., J. Tirole. 2001. Markov perfect equilibrium, I: Observable actions. J. Economic Theory 100 191-219. (Pubitemid 33082649)
22. Olsen, T. L., R. P. Parker. 2008. Inventory management under market size dynamics. Management Sci. 54 (10) 1805-1821.
23. Parker, R. P., R. Kapuściński. 2004. Optimal policies for a capacitated two-echelon inventory system. Oper. Res. 52 (5) 739-755.
24. Parlar, M. 1988. Game theoretic analysis of the substitutable product inventory problem with random demands. Naval Res. Logist. 35 397-409.
25. Pasternack, B. A. 1985. Optimal pricing and return policies for perishable commodities. Marketing Sci. 4 (2) 166-176.
26. Porteus, E. 2000. Responsibility tokens in supply chain management. Manufacturing Service Oper. Management 2 (2) 203-219.
27. Tayur, S., R. Ganeshan, M. Magazine. 1999. Quantitative Models for Supply Chain Management. Kluwer Academic Press, Boston.