Lagrangean relaxation based heuristics for lot sizing with setup times

Date

2009-04-01

Author

Süral, Haldun
Van Wassenhove, Luk N.

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We consider a lot sizing problem with setup times where the objective is to minimize the total inventory carrying cost only. The demand is dynamic over time and there is a single resource of limited capacity. We show that the approaches implemented in the literature for more general versions of the problem do not perform well in this case. We examine the Lagrangean relaxation (LR) of demand constraints in a strong reformulation of the problem. We then design it primal heuristic to generate upper bounds and combine it with the LR problem within a subgradient optimization procedure. We also develop it simple branch and bound heuristic to solve the problem. Computational results oil test problems taken from the literature show that our relaxation procedure produces consistently better solutions than the previously developed heuristics in the literature.

Subject Keywords

Management Science and Operations Research, Modelling and Simulation, Information Systems and Management

URI

https://hdl.handle.net/11511/38679

Journal

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH

DOI

https://doi.org/10.1016/j.ejor.2007.11.052

Collections

Department of Industrial Engineering, Article

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Citation Formats

H. Süral and L. N. Van Wassenhove, “Lagrangean relaxation based heuristics for lot sizing with setup times,” EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, pp. 51–63, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38679.