Abstract

We propose a hybrid algorithm for finding a set of nondominated solutions of a multi objective optimization problem. In the proposed algorithm, a local search procedure is applied to each solution (i.e., each individual) generated by genetic operations. Our algorithm uses a weighted sum of multiple objectives as a fitness function. The fitness function is utilized when a pair of parent solutions are selected for generating a new solution by crossover and mutation operations. A local search procedure is applied to the new solution to maximize its fitness value. One characteristic feature of our algorithm is to randomly specify weight values whenever a pair of parent solutions are selected. That is, each selection (i.e., the selection of two parent solutions) is performed by a different weight vector. Another characteristic feature of our algorithm is not to examine all neighborhood solutions of a current solution in the local search procedure. Only a small number of neighborhood solutions are examined to prevent the local search procedure from spending almost all available computation time in our algorithm. High performance of our algorithm is demonstrated by applying it to multi objective flowshop scheduling problems.

Keywords

Mathematical optimizationCrossoverLocal search (optimization)Fitness functionComputationGenetic algorithmAlgorithmSelection (genetic algorithm)Tournament selectionMathematicsComputer scienceJob shop schedulingSet (abstract data type)Scheduling (production processes)Artificial intelligenceSchedule

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Publication Info

Year
1998
Type
article
Volume
28
Issue
3
Pages
392-403
Citations
1005
Access
Closed

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Cite This

Hisao Ishibuchi, Tadahiko Murata (1998). A multi-objective genetic local search algorithm and its application to flowshop scheduling. IEEE Transactions on Systems Man and Cybernetics Part C (Applications and Reviews) , 28 (3) , 392-403. https://doi.org/10.1109/5326.704576

Identifiers

DOI
10.1109/5326.704576

Data Quality

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