Approximation algorithms for bi-objective parallel-machine scheduling in green manufacturing

We consider bi-objective parallel-machine scheduling in green manufacturing to minimize the makespan and total processing cost. Each machine has a different constant processing cost per unit time. For the objective of minimizing the makespan, given a total cost budget, we provide an approximation al...

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Bibliographic Details
Published in:	Computers & industrial engineering Vol. 176; p. 108949
Main Authors:	Jiang, Yiwei, Tang, Xuelian, Li, Kai, Cheng, T.C.E., Ji, Min
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.02.2023
Subjects:	Approximation algorithm Green manufacturing Parallel-machine scheduling Worst-case ratio Green manufacturing Approximation algorithm Worst-case ratio Parallel-machine scheduling
ISSN:	0360-8352, 1879-0550
Online Access:	Get full text
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Summary:	We consider bi-objective parallel-machine scheduling in green manufacturing to minimize the makespan and total processing cost. Each machine has a different constant processing cost per unit time. For the objective of minimizing the makespan, given a total cost budget, we provide an approximation algorithm with a worst-case ratio of 33+14≈1.686, which improves the previous bound of 2. For the objective of minimizing the total processing cost, subject to all the jobs must be completed before a given common deadline, we provide an approximation algorithm with a worst-case ratio of 2+r3, where r is the ratio of the maximum to the minimum processing cost per unit time on a machine. •We consider bi-objective parallel-machine scheduling in green manufacturing.•The goal is to minimize the makespan and total processing cost.•We propose an improved approximation algorithm for the first goal.•An approximation algorithm with the bound (2+r)/3 is given for the second goal.
ISSN:	0360-8352 1879-0550
DOI:	10.1016/j.cie.2022.108949