Total completion time minimization in a 2-stage differentiation flowshop with fixed sequences per job type

Miao-Tsong Lin; F. J. Hwang

doi:10.1016/j.ipl.2010.11.021

Total completion time minimization in a 2-stage differentiation flowshop with fixed sequences per job type

Miao-Tsong Lin, F. J. Hwang

Department of Information Management and Finance

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

19 Scopus citations

Abstract

This paper addresses the total completion time minimization in a two-stage differentiation flowshop where the sequences of jobs per type are predetermined. The two-stage differentiation flowshop consists of a stage-1 common machine and m stage-2 parallel dedicated machines. The goal is to determine an optimal interleaved processing sequence of all jobs at the first stage. We propose an O(m²∏^m_k=1n^m+1_k) dynamic programming algorithm, where nk is the number of type-k jobs. The running time is polynomial when m is constant.

Original language	English
Pages (from-to)	208-212
Number of pages	5
Journal	Information Processing Letters
Volume	111
Issue number	5
DOIs	https://doi.org/10.1016/j.ipl.2010.11.021
State	Published - 1 Feb 2011

Keywords

Design of algorithms
Differentiation flowshop
Dynamic programming
Fixed sequences
Scheduling

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AB - This paper addresses the total completion time minimization in a two-stage differentiation flowshop where the sequences of jobs per type are predetermined. The two-stage differentiation flowshop consists of a stage-1 common machine and m stage-2 parallel dedicated machines. The goal is to determine an optimal interleaved processing sequence of all jobs at the first stage. We propose an O(m2∏mk=1nm+1k) dynamic programming algorithm, where nk is the number of type-k jobs. The running time is polynomial when m is constant.

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KW - Fixed sequences

KW - Scheduling

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Total completion time minimization in a 2-stage differentiation flowshop with fixed sequences per job type

Abstract

Keywords

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