# American Institute of Mathematical Sciences

January  2011, 7(1): 253-282. doi: 10.3934/jimo.2011.7.253

## Algorithms for bicriteria minimization in the permutation flow shop scheduling problem

 1 Departamento de Fundamentos de Economía, Universidad de Alcalá, Alcalá de Henares, Madrid, 28802, Spain

Received  August 2009 Revised  November 2010 Published  January 2011

This paper presents two bi-objective simulated annealing procedures to deal with the classical permutation flow shop scheduling problem considering the makespan and the total completion time as criteria. The proposed methods are based on multi-objective simulated annealing techniques combined with constructive and heuristic algorithms. A computational experiment has been carried out and different metrics have been computed to check various attributes of each method. For all the tested instances a net set of potentially efficient schedules has been obtained and compared with previously published results. Results indicate that the proposed algorithms provide efficient solutions with little computational effort which can serve as input for interactive procedures.
Citation: Ethel Mokotoff. Algorithms for bicriteria minimization in the permutation flow shop scheduling problem. Journal of Industrial & Management Optimization, 2011, 7 (1) : 253-282. doi: 10.3934/jimo.2011.7.253
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