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An effective hybrid goal programming approach for multi-objective straight assembly line balancing problem with stochastic parameters

Author

Listed:
  • Heydar Ali Mardani-Fard

    (Yasouj University)

  • Abdollah Hadi-Vencheh

    (Islamic Azad University, Khorasgan (Isfahan) Branch)

  • Ali Mahmoodirad

    (Islamic Azad University, Masjed-Soleiman Branch)

  • Sadegh Niroomand

    (Firouzabad Institute of Higher Education)

Abstract

A new multi-objective straight assembly line balancing problem is focused in this study. The problem happens in a stochastic environment where the task times and the task performing quality levels are distributed normally. The objectives like equipment purchasing cost, worker time dependent wage, and average task performing quality of the assembly line are to be optimized simultaneously. A mixed integer non-linear formulation is proposed for the problem. Applying a chance-constrained modeling approach and some linearization techniques the model is converted to a crisp multi-objective mixed integer linear formulation. To tackle such problem, a hybrid fuzzy programming approach is proposed and combined with a typical goal programming method to construct a new hybrid goal programming approach. The computational experiments of the study results in a superior performance of the proposed approach comparing to the literature.

Suggested Citation

  • Heydar Ali Mardani-Fard & Abdollah Hadi-Vencheh & Ali Mahmoodirad & Sadegh Niroomand, 2020. "An effective hybrid goal programming approach for multi-objective straight assembly line balancing problem with stochastic parameters," Operational Research, Springer, vol. 20(4), pages 1939-1976, December.
  • Handle: RePEc:spr:operea:v:20:y:2020:i:4:d:10.1007_s12351-018-0428-8
    DOI: 10.1007/s12351-018-0428-8
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    References listed on IDEAS

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    1. Cinzia Colapinto & Raja Jayaraman & Simone Marsiglio, 2017. "Multi-criteria decision analysis with goal programming in engineering, management and social sciences: a state-of-the art review," Annals of Operations Research, Springer, vol. 251(1), pages 7-40, April.
    2. Y. P. Aneja & K. P. K. Nair, 1979. "Bicriteria Transportation Problem," Management Science, INFORMS, vol. 25(1), pages 73-78, January.
    3. Fattahi, Ali & Turkay, Metin, 2015. "On the MILP model for the U-shaped assembly line balancing problems," European Journal of Operational Research, Elsevier, vol. 242(1), pages 343-346.
    4. .Ilker Baybars, 1986. "A Survey of Exact Algorithms for the Simple Assembly Line Balancing Problem," Management Science, INFORMS, vol. 32(8), pages 909-932, August.
    5. Amen, Matthias, 2001. "Heuristic methods for cost-oriented assembly line balancing: A comparison on solution quality and computing time," International Journal of Production Economics, Elsevier, vol. 69(3), pages 255-264, February.
    6. Climaco, Jaao N. & Henggeler Antunes, C. & Alves, Maria J., 1993. "Interactive decision support for multiobjective transportation problems," European Journal of Operational Research, Elsevier, vol. 65(1), pages 58-67, February.
    7. Ahmad Heydari & Ali Mahmoodirad & Sadegh Niroomand, 2016. "An Entropy-based Mathematical Formulation for Straight Assembly Line Balancing Problem," International Journal of Strategic Decision Sciences (IJSDS), IGI Global, vol. 7(2), pages 57-68, April.
    8. Amen, Matthias, 2006. "Cost-oriented assembly line balancing: Model formulations, solution difficulty, upper and lower bounds," European Journal of Operational Research, Elsevier, vol. 168(3), pages 747-770, February.
    9. Agpak, Kursad & Gokcen, Hadi, 2007. "A chance-constrained approach to stochastic line balancing problem," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1098-1115, August.
    10. Kucukkoc, Ibrahim & Zhang, David Z., 2014. "Mathematical model and agent based solution approach for the simultaneous balancing and sequencing of mixed-model parallel two-sided assembly lines," International Journal of Production Economics, Elsevier, vol. 158(C), pages 314-333.
    11. A. Charnes & W. W. Cooper, 1962. "Programming with linear fractional functionals," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 9(3‐4), pages 181-186, September.
    12. Tamiz, Mehrdad & Jones, Dylan & Romero, Carlos, 1998. "Goal programming for decision making: An overview of the current state-of-the-art," European Journal of Operational Research, Elsevier, vol. 111(3), pages 569-581, December.
    13. Abd El-Wahed, Waiel F. & Lee, Sang M., 2006. "Interactive fuzzy goal programming for multi-objective transportation problems," Omega, Elsevier, vol. 34(2), pages 158-166, April.
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