An analogue genetic algorithm for solving job shop scheduling problems

This paper develops a genetic algorithm for solving job shop scheduling problems. It discusses the difficulties arising from the traditional encoding of the problem and suggests a new encoding scheme. The paper also develops an analogue electrical system to represent the problem and uses the measure of that system to develop a new measure for the fitness function of the genetic algorithm. The algorithm considers the conventional genetic operations but with some modification. The computational results, developed for the makespan criterion, show that, for this criterion, the algorithm is reliable and performs relatively well.

[1]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[2]  J. Carlier,et al.  An algorithm for solving the job-shop problem , 1989 .

[3]  Marc Gravel,et al.  Scheduling jobs in an Alcan aluminium foundry using a genetic algorithm , 2000 .

[4]  D. Atkin.  OR scheduling algorithms. , 2000, Anesthesiology.

[5]  Jan Karel Lenstra,et al.  A Computational Study of Local Search Algorithms for Job Shop Scheduling , 1994, INFORMS J. Comput..

[6]  Jan Karel Lenstra,et al.  Job Shop Scheduling by Simulated Annealing , 1992, Oper. Res..

[7]  C. Bierwirth.  A generalized permutation approach to job shop scheduling with genetic algorithms , 1995 .

[8]  E. Nowicki,et al.  A Fast Taboo Search Algorithm for the Job Shop Problem , 1996 .

[9]  John Holland,et al.  Adaptation in Natural and Artificial Sys-tems: An Introductory Analysis with Applications to Biology , 1975 .

[10]  Lance D. Chambers.  Practical handbook of genetic algorithms , 1995 .

[11]  Egon Balas,et al.  The Shifting Bottleneck Procedure for Job Shop Scheduling , 1988 .

[12]  Christian Bierwirth,et al.  Production Scheduling and Rescheduling with Genetic Algorithms , 1999, Evolutionary Computation.

[13]  FEDERICO DELLA CROCE,et al.  A genetic algorithm for the job shop problem , 1995, Comput. Oper. Res..

[14]  Emanuel Falkenauer,et al.  A genetic algorithm for job shop , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[15]  Takeshi Yamada,et al.  Conventional Genetic Algorithm for Job Shop Problems , 1991, ICGA.

[16]  Ravi Sethi,et al.  The Complexity of Flowshop and Jobshop Scheduling , 1976, Math. Oper. Res..