Simulated Annealing Algorithm to Minimize Makespanin Single Machine Scheduling Problem withUniform Parallel Machines

Panneerselvam Senthilkumar, Sockalingam Narayanan

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DOI: 10.4236/iim.2011.31003                

Abstract

This paper presents a simulated annealing algorithm to minimize makespan of single machine scheduling problem with uniform parallel machines. The single machine scheduling problem with uniform parallel machines consists of n jobs, each with single operation, which are to be scheduled on m parallel machines with different speeds. Since, this scheduling problem is a combinatorial problem; usage of a heuristic is inevitable to obtain the solution in polynomial time. In this paper, simulated annealing algorithm is presented. In the first phase, a seed generation algorithm is given. Then, it is followed by three variations of the simulated annealing algorithms and their comparison using ANOVA in terms of their solutions on makespan.

Keywords

Uniform Parallel Machines, Measure of Performance, Heuristic, Simulated Annealing Algorithm, ANOVA

Conflicts of Interest

The authors declare no conflicts of interest.

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