4.6 Article

A genetic algorithm for solving no-wait flexible flow lines with due window and job rejection

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SPRINGER LONDON LTD
DOI: 10.1007/s00170-008-1618-y

Keywords

No-wait flexible flow line; Genetic algorithm; Rejection; Time windows

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This paper addresses a no-wait multi-stage flexible flow shop problem. There are n jobs to complete in a predetermined due window; hence, some jobs may be rejected. A mixed integer linear programming model with the objective of maximizing the total profit gained from scheduled jobs is introduced. Since the problem is NP-hard and difficult to find an optimal solution in a reasonable computational time, an efficient genetic algorithm is presented as the solution procedure. A heuristic mechanism is proposed to use in each generation of the genetic algorithms to assure the feasibility and superior quality of the obtained solutions. Computational results show that the presented approach performs considerably in terms of both quality of solutions and required runtimes.

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