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Hybrid Heuristic for m-Machine No-Wait Flowshops to Minimize Total Completion Time

  • Conference paper
Computer Supported Cooperative Work in Design IV (CSCWD 2007)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 5236))

Abstract

No-wait flowshops circumscribe an important class of sequencing problems in the field of production planning. For no-wait flowshops with total completion time minimization, a permutation of jobs should be find to be processed sequentially on a number of machines under the restriction that each job is processed continuously. This is a typical NP-hard combinatorial optimization problem. In this paper, a new hybrid heuristic algorithm is proposed which is based on PH1p algorithm. PH1p is modified by replacing Nawaz-Enscore-Ham (NEH) insertion operator with FL method. A composite algorithm is adopted to generate an advantageous initial seed. Based on well-known benchmarks and comparisons with some existing algorithms, simulation results demonstrate the effectiveness of the proposed hybrid algorithm.

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References

  1. Pinedo, M.: Scheduling: theory, algorithm, and systems. Prentice-Hall, Englewood Chills (1995)

    MATH  Google Scholar 

  2. Hall, N.G., Sriskandarajah, C.: A survey of machine scheduling problems with blocking and no-wait in process. Operations Research 44(3), 510–525 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  3. Rajendran, C.: A no-wait flowshop scheduling heuristic to minimize makespan. Journal of the Operational Research Society 45, 472–478 (1994)

    Article  MATH  Google Scholar 

  4. Grabowski, J., Pempera, J.: Sequencing of jobs in some production system. European Journal of Operational Research 125, 535–550 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  5. Raaymakers, W., Hoogeveen, J.: Scheduling multipurpose batch process industries with no-wait restrictions by simulated annealing. European Journal of Operational Research 126, 131–151 (2000)

    Article  MATH  Google Scholar 

  6. Rajendran, C.: A heuristic for scheduling in flowshop and flowline-based manufacturing cell with multi-criteria. International Journal of Production Research 32, 2541–2558 (1994)

    Article  MATH  Google Scholar 

  7. Garey, M.R., Johnson, D.S.: Computers and intractability: a guide to the theory of NP-completeness. Freeman, San Francisco (1979)

    MATH  Google Scholar 

  8. Van Deman, J.M., Baker, K.R.: Minimizing Mean Flow Time in the Flowshop with No Intermediate Queues. AIIE Transactions 6(1), 28–34 (1974)

    Article  Google Scholar 

  9. Adiri, I., Pohoryles, D.: Flowshop/no-idle or no-wait scheduling to minimize the sum of completion times. Navel Research Logistics Quarterly 29(3), 495–504 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  10. Van der Veen, J.A.A., Van Dal, R.: Solvable cases of the no-wait flowshop scheduling problem. Journal of the Operational Research Society 42, 971–980 (1991)

    Article  MATH  Google Scholar 

  11. Aldowiasan, T., Allahverdi, A.: Total flowtime in no-wait flowshops with separated setup times. Computers & Operations Research 25, 757–765 (1998)

    Article  MATH  Google Scholar 

  12. Aldowiasan, T.: A new heuristic and dominance relations for no-wait flowshops with setups. Computers & Operations Research 28, 563–584 (2000)

    Article  Google Scholar 

  13. Allahverdi, A., Aldowaisan, T.: No-wait and separate setup three-machine flowshop with total completion time criterion. International Transactions in Operational Research 7, 245–264 (2000)

    Article  MathSciNet  Google Scholar 

  14. Rajendran, C., Chaudhuri, D.: Heuristic algorithms for continuous flow-shop problem. Naval Research Logistics 37, 695–705 (1990)

    Article  MATH  Google Scholar 

  15. Bonney, M.C., Gundry, S.W.: Solutions to the constrained flow-shop sequencing problem. Oper. Res. Quart. 24, 869–883 (1976)

    Article  MATH  Google Scholar 

  16. King, J.R., Spachis, A.S.: Heuristics for flow-shop scheduling. Int. J. Prod. Res. 18, 343–357 (1980)

    Google Scholar 

  17. Bertolissi, E.: Heuristic algorithm for scheduling in the no-wait flow-shop. Journal of Materials Processing Technology 107(1-3), 459–465 (2000)

    Article  Google Scholar 

  18. Aldowaisan, T., Allahverdi, A.: New heuristics for m-machine no-wait flowshop to minimize total completion time. OMEGA 32, 345–352 (2004)

    Article  Google Scholar 

  19. Nawaz, M., Enscore, E.E., Ham, I.: A heuristic algorithm for the m-machine n-job flow-shop sequencing problem. OMEGA 11(1), 91–95 (1983)

    Article  Google Scholar 

  20. Framinan, J.M., Leisten, R.: An efficient constructive heuristic for flowtime minimization in permutation flow shops. OMEGA 31(4), 311–317 (2003)

    Article  Google Scholar 

  21. Gao, X., Li, X., Zhang, H.: A Heuristic for Total Flowtime Minimization in Flow shop Scheduling. Proceedings of Machine Learning and Cybernetics 18(21), 3656–3660 (2005)

    Google Scholar 

  22. Framinan, J.M., Leisten, R., Ruiz-Usano, R.: Comparison of heuristics for flowtime minimization in permutation flowshops. Computer & Operations Research 32, 1237–1254 (2005)

    Article  MATH  Google Scholar 

  23. Campbell, H.G., Dudek, R.A., Simth, M.L.: A heuristic algorithm for the n-job m-machine sequencing problem. Management Science 16, B630–B637 (1970)

    Article  Google Scholar 

  24. Taillard, E.: Benchmarks for basic scheduling problems. European Journal of Operational Research 64, 278–285 (1993)

    Article  MATH  Google Scholar 

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Zhu, X., Li, X., Wang, Q. (2008). Hybrid Heuristic for m-Machine No-Wait Flowshops to Minimize Total Completion Time. In: Shen, W., Yong, J., Yang, Y., Barthès, JP.A., Luo, J. (eds) Computer Supported Cooperative Work in Design IV. CSCWD 2007. Lecture Notes in Computer Science, vol 5236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92719-8_18

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  • DOI: https://doi.org/10.1007/978-3-540-92719-8_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92718-1

  • Online ISBN: 978-3-540-92719-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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