Newsvendor games: Convex optimization of centralized inventory operations

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Volumn 20, Issue 3, 2012, Pages 707-728

  Burer, Samuel ^a   Dror, Moshe ^b  

^a UNIVERSITY OF IOWA   (United States)

^b UNIVERSITY OF ARIZONA   (United States)

Author keywords

Convex optimization; Cooperative game theory; Inventory centralization; Risk pooling

Indexed keywords

EID: 84866539171     PISSN: 11345764     EISSN: 18638279     Source Type: Journal    
DOI: 10.1007/s11750-010-0160-x     Document Type: Article

References (23)

1. Benjaafar S, Cooper WL, Kim J-S (2005) On the benefits of pooling in production-inventory systems. Manag Sci 51(4): 548-5651.
2. Chase R, Aquilano N (1992) Production and operations management, 6th edn. Irwin, Homewood.
3. Cherikh M (2000) On the effect of centralization on expected profits in multi-location Newsboy problem. J Oper Res Soc 51: 755-761.
4. Dror M, Hartman BC, Chang W (2008) Core, concavity, and cost allocation for consolidation of inventory ordering. Working Paper, MIS, Eller College of Managament, University of Arizona (submitted for publication).
5. Eppen G (1979) Effects of centralization on expected costs in a multi-location newsboy problem. Manag Sci 25(5): 498-501.
6. Gerchak Y, Gupta D (1991) On apportioning costs to customers in centralized continuous review inventory systems. J Oper Manag 10: 546-551.
7. Gerchak Y, He Q-M (2003) On the relation between the benefits of risk pooling and the variability of demand. IIE Trans 35: 1027-1031.
8. Goemans M, Williamson D (1995) Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. J ACM 42: 1115-1145.
9. Hartman BC (1994) Cooperative games and inventory cost allocation. PhD Thesis, Eller College of Management, University of Arizona.
10. Hartman BC, Dror M (1996) Cost allocation in continuous review inventory models. Nav Res Logist 43: 549-561.
11. Hartman BC, Dror M (2003) Optimizing centralized inventory operations in a cooperative game theory setting. IIE Trans Oper Eng 35: 243-257.
12. Hartman BC, Dror M, Shaked M (2000) Cores of inventory centralization games. Games Econ Behav 31(1): 26-49.
13. Lee HL, Padmanabhan V, Whang S (1997) The bullwhip effect in supply chains. Sloan Manag Rev 38(3): 93-102.
14. Pataki G (1998) On the rank of extreme matrices in semidefinite programs and the multiplicity of optimal eigenvalues. Math Oper Res 23(2): 339-358.
15. Peleg B, Sudhölter P (2003) Introduction to the theory of cooperative games. Kluwer Academic, Dordrecht.
16. Ruusunen J, Ehtamo H, Hamalainen R (1991) Dynamic cooperative electricity exchange in a power pool. IEEE Trans Syst Man Cybern 21(4): 758-766.
17. Schmeidler D (1969) The nucleolus of a characteristic function game. SIAM J Appl Math 17: 1163-1170.
18. Shapiro A (1982) Weighted minimum trace factor analysis. Psychometrika 47: 243-264.
19. Shapley L (1953) A value for n-person games. In: Contributions to the theory of games, vol 2. Princeton University Press, Princeton, pp 307-317.
20. Shen Z-JM, Coullard C, Daskin MS (2003) A joint location-inventory model. Transp Sci 37(1): 40-45.
21. Wolkowicz H, Saigal R, Vandenberghe L (eds) (2000) Handbook of semidefinite programming. Kluwer Academic, Dordrecht.
22. Young HP (1985a) Cost allocation: methods, principles, applications, Chap 1. Elsevier/North-Holland, Amsterdam, pp 3-29.
23. Young HP (1985b) Monotonic solutions of cooperative games. Int J Game Theory 14: 65-72.