Volume 7 Number 6 (Jun. 2012)
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JSW 2012 Vol.7(6): 1203-1210 ISSN: 1796-217X
doi: 10.4304/jsw.7.6.1203-1210

Makespan Minimization on Parallel Batch Processing Machines with Release Times and Job Sizes

Shuguang Li
College of Computer Science and Technology, Shandong Institute of Business and Technology, Yantai, China

Abstract—This paper investigates the scheduling problem of minimizing makespan on parallel batch processing machines encountered in different manufacturing environments, such as the burn-in operation in the manufacture of semiconductors and the aging test operation in the manufacture of thin film transistor-liquid crystal displays (TFT-LCDs). Each job is characterized by a processing time, a release time and a job size. Each machine can process multiple jobs simultaneously in a batch, as long as the total size of all jobs in the batch does not exceed machine capacity. The processing time of a batch is represented by the longest time among the jobs in the batch. An approximation algorithm with worst-case ratio 2 +Ë is presented, where Ë> 0 can be made arbitrarily small.

Index Terms—scheduling, parallel batch processing machines, makespan, release times, job sizes, worst-case analysis

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Cite: Shuguang Li, "Makespan Minimization on Parallel Batch Processing Machines with Release Times and Job Sizes," Journal of Software vol. 7, no. 6, pp. 1203-1210, 2012.

General Information

ISSN: 1796-217X (Online)
Frequency: Monthly (2006-2019); Bimonthly (Since 2020)
Editor-in-Chief: Prof. Antanas Verikas
Executive Editor: Ms. Yoyo Y. Zhou
Abstracting/ Indexing: DBLP, EBSCO, ProQuest, INSPEC, ULRICH's Periodicals Directory, WorldCat, etc
E-mail: jsw@iap.org
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