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A note on scheduling jobs with equal processing times and inclusive processing set restrictions

Chung-Lun Li and Kangbok Lee
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Chung-Lun Li: The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
Kangbok Lee: York College, The City University of New York, Jamaica, NY, USA

Journal of the Operational Research Society, 2016, vol. 67, issue 1, 83-86

Abstract: We consider the problem of scheduling n jobs on m parallel machines with inclusive processing set restrictions. Each job has a given release date, and all jobs have equal processing times. The objective is to minimize the makespan of the schedule. Li and Li (2015) have developed an O(n2+mn log n) time algorithm for this problem. In this note, we present a modified algorithm with an improved time complexity of O(min{m, log n} ⋅ n log n).

Date: 2016
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