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A two-stage flexible flow-shop scheduling problem with m identical parallel machines on one stage and a batch processor on the other stage

HE Long-min SUN Shi-jie CHENG Ming-bao

哈尔滨工业大学学报(英文版)2008,Vol.15Issue(5):674-678,5.
哈尔滨工业大学学报(英文版)2008,Vol.15Issue(5):674-678,5.

A two-stage flexible flow-shop scheduling problem with m identical parallel machines on one stage and a batch processor on the other stage

A two-stage flexible flow-shop scheduling problem with m identical parallel machines on one stage and a batch processor on the other stage

HE Long-min 1SUN Shi-jie 1CHENG Ming-bao1

作者信息

  • 1. Dept.of Mathematics,Shanghai University,Shanghai 200444,China
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摘要

Abstract

This paper considers a hybrid two-stage flow-shop scheduling problem with m identical parallel machineson one stage and a batch processor on the other stage.The processing time of job Jj on any of m identical parallel machines is aj≡a(j∈N),and the processing time of job Jj is bj(j∈N)on a batch processor M.We take makespan(Cmax)as our minimization objective.In this paper,for the problem of FSMP-BI(m identical parallel machines on the first stage and a batch processor on the second stage),based on the algorithm given by Sung and Choung for the problem of l I rj,BI I Cmax under the constraint of the given processing sequence,we develop an optimal dynamic programming Algorithm H1 for it in max{O(nlogn),O(nB)} time.A max{O(nlogn),O(nB)} time symmetric Algorithm H2 is given then for the problem of BI-FSMP(a batch processor on the first stage and m identical parallel machines on the second stage).

关键词

scheduling/flexible flow-shop/parallel machines/batch processor/optimal algorithm

Key words

scheduling/flexible flow-shop/parallel machines/batch processor/optimal algorithm

分类

数理科学

引用本文复制引用

HE Long-min,SUN Shi-jie,CHENG Ming-bao..A two-stage flexible flow-shop scheduling problem with m identical parallel machines on one stage and a batch processor on the other stage[J].哈尔滨工业大学学报(英文版),2008,15(5):674-678,5.

基金项目

Sponsored by the Innoration Foundation of Shanghai University(Grant No.A.10-0101-07-406)and NNSF of China(Grant No.60874039) (Grant No.A.10-0101-07-406)

哈尔滨工业大学学报(英文版)

1005-9113

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