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PARALLEL MACHINE SCHEDULING WITH JOB DELIVERY COORDINATION

Part of: Operations research and management science

Published online by Cambridge University Press:  25 May 2017

J. M. DONG Open the ORCID record for J. M. DONG [Opens in a new window] ,
X. S. WANG ,
L. L. WANG  and
J. L. HU Open the ORCID record for J. L. HU [Opens in a new window]
J. M. DONG
Affiliation:
School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China email djm226@163.com email hujlhz@163.com
X. S. WANG
Affiliation:
Department of Commodity, Yongan Futures Co. Ltd, Hangzhou 310000, China email xueshi1989@126.com
L. L. WANG
Affiliation:
College of Automation, Hangzhou Dianzi University, Hangzhou 310018, China email liangzi@hdu.edu.cn
J. L. HU*
Affiliation:
School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China email djm226@163.com email hujlhz@163.com
*
✉hujlhz@163.com
Rights & Permissions [Opens in a new window]

Abstract

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We analyse a parallel (identical) machine scheduling problem with job delivery to a single customer. For this problem, each job needs to be processed on $m$ parallel machines non-pre-emptively and then transported to a customer by one vehicle with a limited physical capacity. The optimization goal is to minimize the makespan, the time at which all the jobs are processed and delivered and the vehicle returns to the machine. We present an approximation algorithm with a tight worst-case performance ratio of $7/3-1/m$ for the general case, $m\geq 3$.

Keywords

schedulingjob deliverybin packingapproximation algorithm

MSC classification

Primary: 90B35: Scheduling theory, deterministic
Secondary: 90C27: Combinatorial optimization
Type
Research Article
Information
The ANZIAM Journal , Volume 58 , Issue 3-4 , April 2017 , pp. 306 - 313
Copyright
© 2017 Australian Mathematical Society 

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