A tabu search algorithm to minimize total weighted tardiness for the job shop scheduling problem

Y. K.  Lin; C. S.  Chong

doi:10.3934/jimo.2016.12.703

Article Contents

2016, Volume 12, Issue 2: 703-717. Doi: 10.3934/jimo.2016.12.703

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A tabu search algorithm to minimize total weighted tardiness for the job shop scheduling problem

Y. K. Lin^1, and
C. S. Chong^2,

1.
Department of Industrial Engineering and Systems Management, Feng Chia University, P.O. Box 25-097,Taichung, 40724, Taiwan, ROC
2.
Planning and Operations Management Group, Singapore Institute of Manufacturing Technology, A-star, 7 Nanyang Avenue, 638075

Received: September 30, 2014

Revised: March 31, 2015

Published: March 2016

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Abstract

This research presents a tabu search algorithm with a restart (TSA-R) approach to minimize total weighted tardiness (TWT) for the job shop scheduling problem. Jobs have non-identical due dates. The problem belongs to the class of NP-hard problems. The TSA-R approach uses dispatching rules to obtain an initial solution and searches for new solutions in a neighborhood based on the critical paths of jobs and blocks of operations. The TSA-R applies a new diversification scheme to exploit the initial solutions and its neighborhood structures so as to overcome entrapment issues and to enhance solutions. A computational result based on standard benchmark instances from the literature is presented to show the effectiveness of the proposed tabu search algorithm.

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Mathematics Subject Classification: Primary: 90B35; Secondary: 68M20.

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