Optimal control of a one product recovery system with backlogging

Gudrun P. Kiesmüller; Stefan Minner; Rainer Kleber

doi:10.1093/imaman/11.3.189

Optimal control of a one product recovery system with backlogging

Gudrun P. Kiesmüller, Stefan Minner, Rainer Kleber

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

In this paper a product recovery system for one product is investigated. The system contains one inventory for returned and recoverable items and one for serviceable items. Demands are satisfied from serviceable inventory where backlogging of demands is allowed. In addition, there is the possibility of disposal for the returned products. We assume deterministic but dynamic return and demand rates and a linear cost structure. The Pontryagin maximum principle is used to determine the optimal production, remanufacturing and disposal policy.

Original language	English
Pages (from-to)	189-207
Number of pages	19
Journal	IMA Journal of Mathematics Applied in Business and Industry
Volume	11
Issue number	3
DOIs	https://doi.org/10.1093/imaman/11.3.189
State	Published - Jul 2000
Externally published	Yes

Keywords

Deterministic inventory model
Dynamic demands
Optimal control
Pontryagin maximum principle
Recovery system
Remanufacturing

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10.1093/imaman/11.3.189

Cite this

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title = "Optimal control of a one product recovery system with backlogging",

abstract = "In this paper a product recovery system for one product is investigated. The system contains one inventory for returned and recoverable items and one for serviceable items. Demands are satisfied from serviceable inventory where backlogging of demands is allowed. In addition, there is the possibility of disposal for the returned products. We assume deterministic but dynamic return and demand rates and a linear cost structure. The Pontryagin maximum principle is used to determine the optimal production, remanufacturing and disposal policy.",

keywords = "Deterministic inventory model, Dynamic demands, Optimal control, Pontryagin maximum principle, Recovery system, Remanufacturing",

author = "Kiesm{\"u}ller, {Gudrun P.} and Stefan Minner and Rainer Kleber",

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doi = "10.1093/imaman/11.3.189",

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AU - Kleber, Rainer

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N2 - In this paper a product recovery system for one product is investigated. The system contains one inventory for returned and recoverable items and one for serviceable items. Demands are satisfied from serviceable inventory where backlogging of demands is allowed. In addition, there is the possibility of disposal for the returned products. We assume deterministic but dynamic return and demand rates and a linear cost structure. The Pontryagin maximum principle is used to determine the optimal production, remanufacturing and disposal policy.

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KW - Optimal control

KW - Pontryagin maximum principle

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KW - Remanufacturing

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Optimal control of a one product recovery system with backlogging

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Keywords

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