Combining metaheuristics and exact methods for solving exactly multi-objective problems on the grid

Combining metaheuristics and exact methods for solving exactly multi-objective problems on the grid

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Article ID: iaor20083047
Country: Netherlands
Volume: 6
Issue: 3
Start Page Number: 393
End Page Number: 409
Publication Date: Sep 2007
Journal: Journal of Mathematical Modelling and Algorithms
Authors: , ,
Keywords: programming: multiple criteria, programming: branch and bound, heuristics: genetic algorithms
Abstract:

This paper presents a parallel hybrid exact multi-objective approach which combines two metaheuristics – a genetic algorithm (GA) and a memetic algorithm (MA), with an exact method – a branch and bound (B&B) algorithm. Such approach profits from both the exploration power of the GA, the intensification capability of the MA and the ability of the B&B to provide optimal solutions with proof of optimality. To fully exploit the resources of a computational grid, the hybrid method is parallelized according to three well-known parallel models – the island model for the GA, the multi-start model for the MA and the parallel tree exploration model for the B&B. The obtained method has been experimented and validated on a bi-objective flow-shop scheduling problem. The approach allowed to solve exactly for the first time an instance of the problem – 50 jobs on 5 machines. More than 400 processors belonging to 4 different administrative domains have contributed to the resolution process during more than 6 days.

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