A dual algorithm for the economic lot-sizing problem

C.P.M. van Hoesel; A.P.M. Wagelmans; A.W.J. Kolen

doi:10.1016/0377-2217(91)90166-S

A dual algorithm for the economic lot-sizing problem

C.P.M. van Hoesel, A.P.M. Wagelmans, A.W.J. Kolen

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

11 Citations (Scopus)

Abstract

A linear description for the economic lot-sizing problem consisting of exponentially many linear inequalities was given by Barany, Van Roy and Wolsey in 1984. Using this formulation we present a dual algorithm for the economic lot-sizing problem, which is of the same complexity as the Wagner and Whitin dynamic programming algorithm. Besides its use in sensitivity analysis the dual algorithm also provides an alternative proof of the fact that the linear description is complete.

Original language	English
Pages (from-to)	315-325
Number of pages	11
Journal	European Journal of Operational Research
Volume	52
Issue number	3
DOIs	https://doi.org/10.1016/0377-2217(91)90166-S
Publication status	Published - 1991

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title = "A dual algorithm for the economic lot-sizing problem",

abstract = "A linear description for the economic lot-sizing problem consisting of exponentially many linear inequalities was given by Barany, Van Roy and Wolsey in 1984. Using this formulation we present a dual algorithm for the economic lot-sizing problem, which is of the same complexity as the Wagner and Whitin dynamic programming algorithm. Besides its use in sensitivity analysis the dual algorithm also provides an alternative proof of the fact that the linear description is complete.",

author = "{van Hoesel}, C.P.M. and A.P.M. Wagelmans and A.W.J. Kolen",

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AU - Wagelmans, A.P.M.

AU - Kolen, A.W.J.

PY - 1991

Y1 - 1991

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AB - A linear description for the economic lot-sizing problem consisting of exponentially many linear inequalities was given by Barany, Van Roy and Wolsey in 1984. Using this formulation we present a dual algorithm for the economic lot-sizing problem, which is of the same complexity as the Wagner and Whitin dynamic programming algorithm. Besides its use in sensitivity analysis the dual algorithm also provides an alternative proof of the fact that the linear description is complete.

U2 - 10.1016/0377-2217(91)90166-S

DO - 10.1016/0377-2217(91)90166-S

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VL - 52

SP - 315

EP - 325

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 3

ER -

A dual algorithm for the economic lot-sizing problem

Abstract

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