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Optimal Computing Budget Allocation Based Compound Genetic Algorithm for Large Scale Job Shop Scheduling

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Part of the book series: Advances in Soft Computing ((AINSC,volume 40))

Abstract

Job shop scheduling, especially the large scale job shop scheduling problem has earned a reputation for being difficult to solve. Genetic algorithms have demonstrated considerable success in providing efficient solutions to many non-polynomial hard optimization problems. But unsuitable parameters may cause poor solution or even no solution for a specific scheduling problem when evolution generation is limited. Many researchers have used various values of genetic parameters by their experience, but when problem is large and complex, they cannot tell which parameters are good enough to be selected since the trial and error method need unaffordable time-consuming computing. This paper attempts to firstly find the fittest control parameters, namely, number of generations, probability of crossover, probability of mutation, for a given job shop problem with a fraction of time. And then those parameters are used in the genetic algorithm for further more search operation to find optimal solution. For large-scale problem, this compound genetic algorithm can get optimal solution efficiently and effectively; avoid wasting time caused by unfitted parameters. The results are validated based on some benchmarks in job shop scheduling problems.

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References

  1. Gen, M., Cheng, R.: Genetic Algorithm and Engineering Design. John Wiley, New York (1997)

    Google Scholar 

  2. Back, T.: The interaction of mutation rate, selection, and self-adaptation within genetic algorithm. In: Parallel Problem Solving from Nature, vol. 2, pp. 85–94 (1992)

    Google Scholar 

  3. Mattfeld, D.C.: Evolutionary Search and the Job Shop: Investigations on Genetic Algorithm for Production Scheduling. Springer, Heidelberg (1996)

    MATH  Google Scholar 

  4. Blazewicz, J., et al.: Scheduling in Computer and Manufacturing Systems. Springer, Heidelberg (1993)

    MATH  Google Scholar 

  5. Brucker, P.: Scheduling Algorithms. Springer, Heidelberg (1995)

    MATH  Google Scholar 

  6. Portmann, M.C.: Scheduling methodologies: optimization and compusearch approaches. In: The Planning and Scheduling of Production Systems, pp. 271–300 (1997)

    Google Scholar 

  7. Ponnambalam, S.G., Jawahar, N., Kumar, B.S.: Estimation of optimum genetic control parameters for job shop scheduling. Int. J. Adv. Manuf. Technol. 19, 224–234 (2003)

    Google Scholar 

  8. Orvosh, D., Davis, L.: Using a genetic algorithm to optimize problems with feasibility constraints. In: Proc. of the First IEEE Conf. on Evolutionary Computation, pp. 548–552. IEEE Computer Society Press, Los Alamitos (1994)

    Chapter  Google Scholar 

  9. Cheng, R.: A tutorial survey of job-shop scheduling problems using genetic algorithms-I: representation. Computers ind. Engng. 30(4), 986–995 (1996)

    Article  Google Scholar 

  10. Gen, M., Tsujimura, Y., Kubota, E.: Solving job-shop scheduling problem using genetic algorithms. In: Proc. of the 16th Int. Conf. on Computer and Industrial Engineering, Ashikaga, Japan, pp. 576–579 (1994)

    Google Scholar 

  11. Kubota, A.: Study on optimal scheduling for manufacturing system by genetic algorithms. Master’s thesis, Ashikaga Institute of Technology, Ashikaga, Japan (1995)

    Google Scholar 

  12. Baker, K.: Introduction to Sequencing and Scheduling. John Wiley and Sons, New York (1974)

    Google Scholar 

  13. De Jong, K.A.: An analysis of the behavior of a class of genetic adaptive systems. Dissertation, University of Michigan, pp. 76-81 (1975)

    Google Scholar 

  14. Grefenstette, J.J.: Optimization of control parameters for genetic algorithms. IEEE Trans. Sys. Man Cybern. 16(1), 122–128 (1999)

    Article  Google Scholar 

  15. Wang, L., Zheng, D.Z.: An effective hybrid heuristic for flow shop scheduling. Int. J. Adv. Manuf. Technol. 21(1), 38–44 (2003)

    Article  Google Scholar 

  16. Goldberg, D.E.: Genetic algorithms in search, optimization and machine learning. Addison-Wesley, Reading (1989)

    MATH  Google Scholar 

  17. Eiben, A.E., Schoenauer, M.: Evolutionary computing. Informat. Process Lett. 82, 1–6 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  18. Kushner, H.J., Clark, D.S.: Stochastic Approximation for Constrained and Unconstrained Systems, pp. 26–27. Springer, New York (1978)

    Google Scholar 

  19. Chen, C.H.: A lower bound for the correct subset-selection probability and its application to discrete event system simulations. IEEE Trans. Automat. Contr. 41, 1227–1231 (1996)

    Article  MATH  Google Scholar 

  20. Chen, H.C., et al.: New development of optimal computing budget allocation for discrete event simulation. In: Proc. Winter Simulation Conf., Dec. 1997, pp. 334–341 (1997)

    Google Scholar 

  21. Chen, C.H., et al.: Simulation budget allocation for further enhancing the efficiency of ordinal optimization. Discr. Event Dynam. Sys. 10, 251–270 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  22. Storer, R.H., Wu, S.D., Vaccari, R.: New search spaces for sequencing problems with applications to job-shop scheduling. Management Science 38(10), 1495–1509 (1992)

    Article  MATH  Google Scholar 

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Bing-Yuan Cao

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© 2007 Springer-Verlag Berlin Heidelberg

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Yong-Ming, W., Nan-Feng, X., Hong-Li, Y., Cheng-Gui, Z. (2007). Optimal Computing Budget Allocation Based Compound Genetic Algorithm for Large Scale Job Shop Scheduling. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_43

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  • DOI: https://doi.org/10.1007/978-3-540-71441-5_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71440-8

  • Online ISBN: 978-3-540-71441-5

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