Dynamic programming algorithms for scheduling parallel machines with family setup times

Date

2001-2

Author

Webster, Scott
Azizoğlu, Meral

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We address the problem of scheduling jobs with family setup times on identical parallel machines to minimize total weighted flowtime. We present two dynamic programming algorithms - a backward algorithm and a forward algorithm - and we identify characteristics of problems where each algorithm is best suited. We also derive two properties that improve the computational efficiency of the algorithms. Scope and purpose While most production schedulers must balance conflicting goals of high system efficiency and timely completion of individual jobs, consideration of this conflict is underdeveloped in the scheduling literature. This paper examines a model that incorporates a fundamental cause of the efficiency/timeliness conflict in practice. We propose solution methodologies and properties of an optimal solution for the purpose of exposing insights that may ultimately be useful in research on more complex models. (C) 2000 Elsevier Science Ltd. All rights reserved. We address the problem of scheduling jobs with family setup times on identical parallel machines to minimize total weighted flowtime. We present two dynamic programming algorithms - a backward algorithm and a forward algorithm - and we identify characteristics of problems where each algorithm is best suited. We also derive two properties that improve the computational efficiency of the algorithms.

Subject Keywords

Production scheduling, Dynamic programming, Family setup times

URI

https://hdl.handle.net/11511/28263

Journal

Computers & Operations Research

DOI

https://doi.org/10.1016/s0305-0548(99)00094-5

Collections

Department of Industrial Engineering, Article

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On the minimization of total weighted flow time with identical and uniform parallel machines Azizoğlu, Meral (1999-02-16) We consider the NP-hard problem of scheduling jobs on identical parallel machines to minimize total weighted flow time. We discuss the properties that characterize the structure of an optimal solution, present a lower bound and propose a branch and bound algorithm. The algorithm is superior to prior methods presented in the literature. We also extend the algorithm to uniform parallel machines and solve medium-sized problem instances.

Citation Formats

S. Webster and M. Azizoğlu, “Dynamic programming algorithms for scheduling parallel machines with family setup times,” Computers & Operations Research, pp. 127–137, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28263.