Analysis of a decentralized supply chain under partial cooperation

R. Güllü, G.J.J.A.N. Houtum, van, F.Z. Sargut, N. Erkip

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Abstract

In this article we analyze a decentralized supply chain consisting of a supplier and two independent retailers. In each order cycle retailers place their orders at the supplier to minimize inventory related expected costs at the end of their respective response times. There are two types of lead-times involved. At the end of the supplier lead-time, retailers are given an opportunity to readjust their initial orders (without changing the total order size) so that both retailers can improve their expected costs at the end of respective retailer lead-times (the time it takes for items to be shipped from the supplier to the retailers). Because of the possibility of cooperation at the end of supplier leadtime, each retailer will consider the other's order-up-to level in making the ordering decision. Under mild conditions we prove the existence of a unique Nash equilibrium for the retailer order-up-to levels, and show that they can be obtained by solving a set of newsboy-like equations. We also present computational analysis that provides valuable managerial insight for design and operation of decentralized systems under possibility of partial cooperation.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages31
ISBN (Print)90-386-1568-X
Publication statusPublished - 2003

Publication series

NameBETA publicatie : working papers
Volume90
ISSN (Print)1386-9213

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Supply Chain
Decentralized
Partial
Computational Analysis
Costs
Nash Equilibrium
Response Time
Minimise
Cycle

Cite this

Güllü, R., Houtum, van, G. J. J. A. N., Sargut, F. Z., & Erkip, N. (2003). Analysis of a decentralized supply chain under partial cooperation. (BETA publicatie : working papers; Vol. 90). Eindhoven: Technische Universiteit Eindhoven.
Güllü, R. ; Houtum, van, G.J.J.A.N. ; Sargut, F.Z. ; Erkip, N. / Analysis of a decentralized supply chain under partial cooperation. Eindhoven : Technische Universiteit Eindhoven, 2003. 31 p. (BETA publicatie : working papers).
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Güllü, R, Houtum, van, GJJAN, Sargut, FZ & Erkip, N 2003, Analysis of a decentralized supply chain under partial cooperation. BETA publicatie : working papers, vol. 90, Technische Universiteit Eindhoven, Eindhoven.

Analysis of a decentralized supply chain under partial cooperation. / Güllü, R.; Houtum, van, G.J.J.A.N.; Sargut, F.Z.; Erkip, N.

Eindhoven : Technische Universiteit Eindhoven, 2003. 31 p. (BETA publicatie : working papers; Vol. 90).

Research output: Book/ReportReportAcademic

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AB - In this article we analyze a decentralized supply chain consisting of a supplier and two independent retailers. In each order cycle retailers place their orders at the supplier to minimize inventory related expected costs at the end of their respective response times. There are two types of lead-times involved. At the end of the supplier lead-time, retailers are given an opportunity to readjust their initial orders (without changing the total order size) so that both retailers can improve their expected costs at the end of respective retailer lead-times (the time it takes for items to be shipped from the supplier to the retailers). Because of the possibility of cooperation at the end of supplier leadtime, each retailer will consider the other's order-up-to level in making the ordering decision. Under mild conditions we prove the existence of a unique Nash equilibrium for the retailer order-up-to levels, and show that they can be obtained by solving a set of newsboy-like equations. We also present computational analysis that provides valuable managerial insight for design and operation of decentralized systems under possibility of partial cooperation.

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Güllü R, Houtum, van GJJAN, Sargut FZ, Erkip N. Analysis of a decentralized supply chain under partial cooperation. Eindhoven: Technische Universiteit Eindhoven, 2003. 31 p. (BETA publicatie : working papers).