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

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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.

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[source: Heydari et al. (2016)]

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Acknowledgements

The authors are grateful of the editors and reviewers of the journal for their helpful and constructive comments that improved the quality of the paper. This study was supported by Firouzabad Institute of Higher Education (Research Project No. 1396.003). The authors are grateful of this financial support.

Author information

Authors and Affiliations

  1. Department of Mathematics, Yasouj University, Yasouj, Iran

    Heydar Ali Mardani-Fard

  2. Department of Mathematics, Islamic Azad University, Khorasgan (Isfahan) Branch, Isfahan, Iran

    Abdollah Hadi-Vencheh

  3. Department of Mathematics, Islamic Azad University, Masjed-Soleiman Branch, Masjed-Soleiman, Iran

    Ali Mahmoodirad

  4. Department of Industrial Engineering, Firouzabad Institute of Higher Education, Firouzabad, Fars, Iran

    Sadegh Niroomand

Authors
  1. Heydar Ali Mardani-Fard
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  2. Abdollah Hadi-Vencheh
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  3. Ali Mahmoodirad
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  4. Sadegh Niroomand
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Corresponding author

Correspondence to Sadegh Niroomand.

Appendix

Appendix

The data set for the benchmarks with 16, 21, and 35 tasks which are named benchmarks 2, 3, and 4 respectively, are presented by the tables (from Tables 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 and 24) of this section.

Table 13 The precedence relationships of the tasks of Benchmark 2 (precedence value of 1 shows that task i is the precedence of task j)
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Table 14 The precedence relationships of the tasks of Benchmark 3 (precedence value of 1 shows that task i is the precedence of task j)
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Table 15 The precedence relationships of the tasks of Benchmark 4 (precedence value of 1 shows that task i is the precedence of task j)
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Table 16 Some basic parameters of the benchmarks
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Table 17 Cost of the tools of the benchmarks
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Table 18 Task times, cost for performing the tasks, and required tools of the tasks for the benchmarks
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Table 19 Mean dis-quality levels (\(\mu_{dq,ik}\)) of Benchmark 2
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Table 20 Standard deviation of dis-quality levels (\(\sigma_{dq,ik}\)) of Benchmark 2
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Table 21 Mean dis-quality levels (\(\mu_{dq,ik}\)) of Benchmark 3
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Table 22 Standard deviation of dis-quality levels (\(\sigma_{dq,ik}\)) of Benchmark 3
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Table 23 Mean dis-quality levels (\(\mu_{dq,ik}\)) of Benchmark 4
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Table 24 Standard deviation of dis-quality levels (\(\sigma_{dq,ik}\)) of Benchmark 4
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Mardani-Fard, H.A., Hadi-Vencheh, A., Mahmoodirad, A. et al. An effective hybrid goal programming approach for multi-objective straight assembly line balancing problem with stochastic parameters. Oper Res Int J 20, 1939–1976 (2020). https://doi.org/10.1007/s12351-018-0428-8

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