Abstract

A particle swarm optimization algorithm (PSO) has been used to solve the single machine total weighted tardiness problem (SMTWT) with unequal release date. To find the best solutions three different solution approaches have been used. To prepare subhybrid solution system, genetic algorithms (GA) and simulated annealing (SA) have been used. In the subhybrid system (GA and SA), GA obtains a solution in any stage, that solution is taken by SA and used as an initial solution. When SA finds better solution than this solution, it stops working and gives this solution to GA again. After GA finishes working the obtained solution is given to PSO. PSO searches for better solution than this solution. Later it again sends the obtained solution to GA. Three different solution systems worked together. Neurohybrid system uses PSO as the main optimizer and SA and GA have been used as local search tools. For each stage, local optimizers are used to perform exploitation to the best particle. In addition to local search tools, neurodominance rule (NDR) has been used to improve performance of last solution of hybrid-PSO system. NDR checked sequential jobs according to total weighted tardiness factor. All system is named as neurohybrid-PSO solution system.

Highlights

  • Particle swarm optimization (PSO) is an evolutionary computation technique developed by Eberhart and Kennedy [1]

  • Neurodominance rule is a system obtained based on training of a backpropagation neural network (BPANN) by using the data prepared with the implementation of adjacent pairwise interchange (API) method

  • The best solution found by PSO is sent to genetic algorithm (GA) again, and GA and simulated annealing (SA) work interactively to search for a better solution

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Summary

Introduction

Particle swarm optimization (PSO) is an evolutionary computation technique developed by Eberhart and Kennedy [1]. A hybrid system based on PSO has been proposed to solve single machine total weighted tardiness problem with unequal release date. One of the most studied scheduling problems is single machine total weighted tardiness (SMTWT). SMTWT with unequal release date problem is an NP-hard Some metaheuristics such as particle swarm optimization (PSO), genetic algorithm (GA), simulated annealing (SA), and ant colony optimization (ACO) have been applied to solve the single machine scheduling problems. A neurodominance rule has been used for single machine tardiness problem with unequal release dates by Cakar [10]. Matsuo et al [17] used simulated annealing algorithm for single machine total weighted tardiness (SMTWT) problem. When SA supported GA and subhybrid solution system, finds the best solution, and stops working, it sends this obtained best solution to PSO algorithm.

Computational Structure of Particle Swarm Optimization
Solution Steps and Used Parameters of Particle Swarm Optimization Algorithms
The Application of the SPV Rule and Demonstration of a Particle
Genetic Algorithms
Simulated Annealing
Neurodominance Rule
Neurohybrid System Based on PSO
Result of NDR
Experimental Design and Solutions
10. Conclusion
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