Shahram Saeidi

A Multi-objective Mathematical Model for Job Scheduling on Parallel Machines Using NSGA-II

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Author(s)

Shahram Saeidi ^1,*

1. Department of Computer Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran

* Corresponding author.

DOI: https://doi.org/10.5815/ijitcs.2016.08.05

Received: 8 Sep. 2015 / Revised: 21 Feb. 2016 / Accepted: 13 Apr. 2016 / Published: 8 Aug. 2016

Index Terms

Parallel Machines Scheduling, Linear Programming, NSGA-II, MOPSO

Abstract

In the current industrial world, Time and cost are two the most important concepts affecting whole our planning, activities and scheduling. Effective use of these factors, will lead to increasing performance and profit. Solving the parallel-machine problem is one of the basic and important problems in industrial and service delivery systems. In this paper, a new mathematical multi-objective linear programming model is proposed for scheduling the parallel machines to minimize the total make-span and total machines cost. The proposed model is implemented in Matlab using the NSGA-II approach and the results are compared with MOPSO approach. The computational results show the effectiveness and superiority of the proposed model.

Cite This Paper

Shahram Saeidi, "A Multi-objective Mathematical Model for Job Scheduling on Parallel Machines Using NSGA-II", International Journal of Information Technology and Computer Science(IJITCS), Vol.8, No.8, pp.43-49, 2016. DOI:10.5815/ijitcs.2016.08.05

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International Journal of Information Technology and Computer Science (IJITCS)