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An efficient constructive heuristic for flowtime minimisation in permutation flow shops

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  • Framinan, J. M.
  • Leisten, R.

Abstract

In this paper, we propose a heuristic for mean/total flowtime minimisation in permutation flow shops. The heuristic exploits the idea of 'optimising' partial schedules, already present in the NEH-heuristic (Omega 11 (1983) 91) with respect to makespan minimisation. We compare the proposed heuristic against the ones by Rajendran and Ziegler (Eur. J. Oper. Res. 32 (1994) 2541), and Woo and Yim (Comput. Oper. Res. 25 (1998) 175), which are considered the best constructive heuristics for flowtime minimisation so far. The computational experiments carried out show that our proposal outperforms both heuristics with respect to the quality of the solutions. Moreover, our heuristic can be embedded in an improvement scheme to build a composite heuristic in the manner suggested by Allahverdi and Aldowaisan (Int. J. Prod. Econom. 77 (2002) 71) for the flowtime minimisation problem. The so-constructed composite heuristic also improves the best results obtained by the original composite heuristics by Allahverdi and Aldowaisan.

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  • Framinan, J. M. & Leisten, R., 2003. "An efficient constructive heuristic for flowtime minimisation in permutation flow shops," Omega, Elsevier, vol. 31(4), pages 311-317, August.
    • Handle: RePEc:eee:jomega:v:31:y:2003:i:4:p:311-317
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    References listed on IDEAS

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    1. Ho, Johnny C., 1995. "Flowshop sequencing with mean flowtime objective," European Journal of Operational Research, Elsevier, vol. 81(3), pages 571-578, March.
    2. Herbert G. Campbell & Richard A. Dudek & Milton L. Smith, 1970. "A Heuristic Algorithm for the n Job, m Machine Sequencing Problem," Management Science, INFORMS, vol. 16(10), pages 630-637, June.
    3. Framinan, Jose M. & Leisten, Rainer & Ruiz-Usano, Rafael, 2002. "Efficient heuristics for flowshop sequencing with the objectives of makespan and flowtime minimisation," European Journal of Operational Research, Elsevier, vol. 141(3), pages 559-569, September.
    4. Allahverdi, Ali & Aldowaisan, Tariq, 2002. "New heuristics to minimize total completion time in m-machine flowshops," International Journal of Production Economics, Elsevier, vol. 77(1), pages 71-83, May.
    5. Rajendran, Chandrasekharan, 1993. "Heuristic algorithm for scheduling in a flowshop to minimize total flowtime," International Journal of Production Economics, Elsevier, vol. 29(1), pages 65-73, February.
    6. Ahmadi, Reza H. & Bagchi, Uttarayan, 1990. "Improved lower bounds for minimizing the sum of completion times of n jobs over m machines in a flow shop," European Journal of Operational Research, Elsevier, vol. 44(3), pages 331-336, February.
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    8. Rajendran, Chandrasekharan & Ziegler, Hans, 1997. "An efficient heuristic for scheduling in a flowshop to minimize total weighted flowtime of jobs," European Journal of Operational Research, Elsevier, vol. 103(1), pages 129-138, November.
    9. M. R. Garey & D. S. Johnson & Ravi Sethi, 1976. "The Complexity of Flowshop and Jobshop Scheduling," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 117-129, May.
    10. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
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    Cited by:

    1. Li, Guo & Li, Na & Sambandam, Narayanasamy & Sethi, Suresh P. & Zhang, Faping, 2018. "Flow shop scheduling with jobs arriving at different times," International Journal of Production Economics, Elsevier, vol. 206(C), pages 250-260.
    2. Sündüz Dağ, 2013. "An Application On Flowshop Scheduling," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 1(1), pages 47-56, December.
    3. Li, Xiaoping & Wang, Qian & Wu, Cheng, 2009. "Efficient composite heuristics for total flowtime minimization in permutation flow shops," Omega, Elsevier, vol. 37(1), pages 155-164, February.
    4. Zhang, Yi & Li, Xiaoping & Wang, Qian, 2009. "Hybrid genetic algorithm for permutation flowshop scheduling problems with total flowtime minimization," European Journal of Operational Research, Elsevier, vol. 196(3), pages 869-876, August.
    5. Laha, Dipak & Sarin, Subhash C., 2009. "A heuristic to minimize total flow time in permutation flow shop," Omega, Elsevier, vol. 37(3), pages 734-739, June.
    6. Bock, Felix & Bruhn, Henning, 2021. "Case study on scheduling cyclic conveyor belts," Omega, Elsevier, vol. 102(C).
    7. M S Nagano & J V Moccellin, 2008. "Reducing mean flow time in permutation flow shop," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(7), pages 939-945, July.
    8. Fernando Luis Rossi & Marcelo Seido Nagano, 2022. "Beam search-based heuristics for the mixed no-idle flowshop with total flowtime criterion," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(4), pages 1311-1346, December.
    9. Libralesso, Luc & Focke, Pablo Andres & Secardin, Aurélien & Jost, Vincent, 2022. "Iterative beam search algorithms for the permutation flowshop," European Journal of Operational Research, Elsevier, vol. 301(1), pages 217-234.
    10. O Etiler & B Toklu & M Atak & J Wilson, 2004. "A genetic algorithm for flow shop scheduling problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(8), pages 830-835, August.
    11. Pan, Quan-Ke & Wang, Ling, 2012. "Effective heuristics for the blocking flowshop scheduling problem with makespan minimization," Omega, Elsevier, vol. 40(2), pages 218-229, April.
    12. K Sheibani, 2010. "A fuzzy greedy heuristic for permutation flow-shop scheduling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(5), pages 813-818, May.
    13. Wu, Chin-Chia & Lee, Wen-Chiung, 2009. "A note on the total completion time problem in a permutation flowshop with a learning effect," European Journal of Operational Research, Elsevier, vol. 192(1), pages 343-347, January.
    14. Tasgetiren, M. Fatih & Liang, Yun-Chia & Sevkli, Mehmet & Gencyilmaz, Gunes, 2007. "A particle swarm optimization algorithm for makespan and total flowtime minimization in the permutation flowshop sequencing problem," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1930-1947, March.

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