201
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

Metaheuristics for two-stage flow-shop assembly problem with a truncation learning function

, , , , , & show all
Pages 843-866 | Received 29 Oct 2019, Accepted 03 Apr 2020, Published online: 07 May 2020

References

  • Allahverdi, A., and F. S. Al-Anzi. 2006. “A PSO and a Tabu Search Heuristics for Assembly Scheduling Problem of the Two-Stage Distributed Database Application.” Computers and Operations Research 33: 1056–1080. doi: 10.1016/j.cor.2004.09.002
  • Allahverdi, A., and F. S. Al-Anzi. 2006. “Evolutionary Heuristics and an Algorithm for the Two-Stage Assembly Scheduling Problem to Minimize Makespan with Setup Times.” International Journal of Production Research 44: 4713–4735. doi: 10.1080/00207540600621029
  • Allahverdi, A., and F. S. Al-Anzi. 2008. “The Two-Stage Assembly Flowshop Scheduling Problem with Bicriteria of Makespan and Mean Completion Time.” International Journal of Advanced Manufacturing Technology 37: 166–177. doi: 10.1007/s00170-007-0950-y
  • Allahverdi, A., and F. S. Al-Anzi. 2009. “The Two-Stage Assembly Scheduling Problem to Minimize Total Completion Time with Setup Times.” Computers & Operations Research 36: 2740–2747. doi: 10.1016/j.cor.2008.12.001
  • Allahverdi, A., and H. Aydilek. 2015. “The Two Stage Assembly Flowshop Scheduling Problem to Minimize Total Tardiness.” Journal of Intelligent Manufacturing 26: 225–237. doi: 10.1007/s10845-013-0775-5
  • Al-Anzi, F. S., and A. Allahverdi. 2006. “A Hybrid Tabu Search Heuristic for the Two-Stage Assembly Scheduling Problem.” International Journal of Operations Research 3: 109–119.
  • Al-Anzi, F. S., and A. Allahverdi. 2007. “A Self-Adaptive Differential Evolution Heuristic for Two-Stage Assembly Scheduling Problem to Minimize Maximum Lateness with Setup Times.” European Journal of Operational Research 182: 80–94. doi: 10.1016/j.ejor.2006.09.011
  • Azzouz, A., M. Ennigrou, and L. Ben Said. 2018. “Scheduling Problems Under Learning Effects: Classification and Cartography.” International Journal of Production Research 56 (4): 1642–1661. doi: 10.1080/00207543.2017.1355576
  • Biskup, D. 1999. “Single-Machine Scheduling with Learning Considerations.” European Journal of Operational Research 115: 173–178. doi: 10.1016/S0377-2217(98)00246-X
  • Biskup, D. 2008. “A State-of-the-Art Review on Scheduling with Learning Effect.” European Journal of Operational Research 188: 315–329. doi: 10.1016/j.ejor.2007.05.040
  • Chen, P., C.-C. Wu, and W.-C. Lee. 2006. “A Bi-criteria Two-Machine Flowshop Scheduling Problem with a Learning Effect.” Journal of the Operational Research Society 57 (9): 1113–1125. doi: 10.1057/palgrave.jors.2602095
  • Essafi, I., Y. Matib, and S. Dauzere-Peres. 2008. “A Genetic Local Search Algorithm for Minimizing Total Weighted Tardiness in the Job-Shop Scheduling Problem.” Computers and Operations Research 35: 2599–2616. doi: 10.1016/j.cor.2006.12.019
  • French, S. 1982. Sequencing and Scheduling: An Introduction to the Mathematics of the Job Shop. Chichester: Ellis Horwood.
  • Hardy, G. H., J. E. Littlewood, and G. Polya. 1967. Inequalities. London: Cambridge University Press.
  • Hariri, A. M. A., and C. N. Potts. 1997. “A Branch and Bound Algorithm for the Two-Stage Assembly Scheduling Problem.” European Journal of Operational Research 103: 547–556. doi: 10.1016/S0377-2217(96)00312-8
  • Holland, J. 1975. Adaptation in Natural and Artificial Systems. Ann Arbor, MI: University of Michigan Press.
  • Hollander, M. D., A. Wolfe, and E. Chicken. 2014. Nonparametric Statistical Methods. 3rd ed. Hoboken, NJ: John Wiley & Sons.
  • Isler, M. C., B. Toklu, and V. Celik. 2012. “Scheduling in a Two-Machine Flow-Shop for Earliness/Tardiness Under Learning Effect.” The International Journal of Advanced Manufacturing Technology 61 (9-12): 1129–1137. doi: 10.1007/s00170-011-3777-5
  • Jacobs, L. W., and M. J. Brusco. 1995. “A Local-Search Heuristic for Large Set-Covering Problems.” Naval Research Logistics 42 (7): 1129–1140. doi: 10.1002/1520-6750(199510)42:7<1129::AID-NAV3220420711>3.0.CO;2-M
  • Kuo, W.-H., and D.-L. Yang. 2006. “Minimizing the Total Completion Time in a Single-Machine Scheduling Problem with a Time-Dependent Learning Effect.” European Journal of Operational Research 174: 1184–1190. doi: 10.1016/j.ejor.2005.03.020
  • Kuolamas, C., and G. J. Kyparisis. 2007. “Single-Machine and Two-Machine Flowshop Scheduling with General Learning Functions.” European Journal of Operational Research 178: 402–407. doi: 10.1016/j.ejor.2006.01.030
  • Lee, C.-Y., T. C. E. Cheng, and B. M. T. Lin. 1993. “Minimizing the Makespan in the 3-Machine Assembly-Type Flowshop Scheduling Problem.” Management Science 39: 616–625. doi: 10.1287/mnsc.39.5.616
  • Lee, W.-C., and C.-C. Wu. 2004. “Minimizing Total Completion Time in a Two-Machine Flowshop with a Learning Effect.” International Journal of Production Economics 88 (1): 85–93. doi: 10.1016/S0925-5273(03)00179-8
  • Maleki-Darounkolaei, A., M. Modiri, R. Tavakkoli-Moghaddam, and I. Seyyedi. 2012. “A Three-Stage Assembly Flow Shop Scheduling Problem with Blocking and Sequence-Dependent Set Up Times.” Journal of Industrial Engineering International 8 (26): 1–7.
  • Maleki-Darounkolaei, A., and I. Seyyedi. 2013. “Taguchi Method for Three-Stage Assembly Flow Shop Scheduling Problem with Blocking and Sequence-Dependent Set Up Times.” Journal of Engineering Science and Technology 8 (5): 603–622.
  • Marchiori, E., and A. Steenbeek. 2000. “An Evolutionary Algorithm for Large Scale Set Covering Problems with Application to Airline Crew Scheduling.” In Real-World Applications of Evolutionary Computing, edited by S. Cagnoni, R. Poli, G. D. Smith, D. Corne, M. Oates, E. Hart, P. L. Lanzi, E. J. Willem, Y. Li, B. Paechter, and T. C. Fogarty, EvoWork-shops 2000, pages Lecture Notes in Computer Science, Vol. 1803: 367–381. Berlin: Springer.
  • Nawaz, M., E. E. Enscore Jr, and I. Ham. 1983. “A Heuristic Algorithm for the m-Machine n-Job Flow-Shop Sequencing Problem.” Omega 11 (1): 91–95. doi: 10.1016/0305-0483(83)90088-9
  • Pinedo, M. 2008. Scheduling: Theory, Algorithms and Systems, third version. Upper Saddle River, NJ: Prentice-Hall.
  • Potts, C. N., S. V. Sevast’janov, V. A. Strusevich, L. N. Van Wassenhove, and C. M. Zwaneveld. 1995. “The Two-Stage Assembly Scheduling Problem: Complexity and Approximation.” Operations Research 43: 346–355. doi: 10.1287/opre.43.2.346
  • Ribas, I., R. Companys, and X. Tort-Martorell. 2011. “An Iterated Greedy Algorithm for the Flowshop Scheduling Problem with Blocking.” Omega 39 (3): 293–301. doi: 10.1016/j.omega.2010.07.007
  • Roy, S. K., and P. Mula. 2016. “Solving Matrix Game with Rough Payoffs Using Genetic Algorithm.” Operational Research 16 (1): 117–130. doi: 10.1007/s12351-015-0189-6
  • Ruiz, R., and T. Stutzle. 2008. “An Iterated Greedy Heuristic for the Sequence Dependent Setup Times Flowshop Problem with Makespan and Weighted Tardiness Objectives.” European Journal of Operational Research 187 (3): 1143–1159. doi: 10.1016/j.ejor.2006.07.029
  • Solano-Charris, E. L., J. R. Montoya-Torres, and C. D. Paternina-Arboleda. 2011. “Ant Colony Optimization Algorithm for a Bi-criteria 2-Stage Hybrid Flowshop Scheduling Problem.” Journal of Intelligent Manufacturing 22: 815–822. doi: 10.1007/s10845-009-0370-y
  • Storn, R., and K. Price. 1997. “Differential Evolution—A Simple and Efficient Heuristic for Global Optimization Over Continuous Spaces.” Journal of Global Optimization 11 (4): 351–359. doi: 10.1023/A:1008202821328
  • Sung, C. S., and H. A. Kim. 2008. “A Two-Stage Multiple-Machine Assembly Scheduling Problem for Minimizing Sum of Completion Times.” International Journal of Production Economics 113: 1038–1048. doi: 10.1016/j.ijpe.2007.12.007
  • Torabzadeh, E., and M. Zandieh. 2010. “Cloud Theory-Based Simulated Annealing Approach for Scheduling in the Two-Stage Assembly Flowshop.” Advances in Engineering Software 41: 1238–1243. doi: 10.1016/j.advengsoft.2010.06.004
  • Tozkapan, A., O. Kirca, and C. S. Chung. 2003. “A Branch and Bound Algorithm to Minimize the Total Weighted Flowtime for the Two-Stage Assembly Scheduling Problem.” Computers and Operations Research 30: 309–320. doi: 10.1016/S0305-0548(01)00098-3
  • Wang, D. J., F. Liu, Y. Z. Wang, and Y. Yin. 2015. “A Knowledge-Based Evolutionary Proactive Scheduling Approach in the Presence of Machine Breakdown and Deterioration Effect.” Knowledge-Based Systems 90: 70–80. doi: 10.1016/j.knosys.2015.09.032
  • Wang, D. J., F. Liu, and Y. Yin. 2017. “A Multi-objective Evolutionary Algorithm Guided by Directed Search for Dynamic Scheduling.” Computers & Operations Research 79: 279–290. doi: 10.1016/j.cor.2016.04.024
  • Wang, D. J., H. Qiu, C.-C. Wu, W.-C. Lin, K. Lai, and S.-R. Cheng. 2019. “Dominance Rule and Opposition Based Particle Swarm Optimization for Two-Stage Assembly Scheduling with Time Cumulated Learning Effect.” Soft Computing 23 (19): 9617–9628. doi: 10.1007/s00500-018-3525-y
  • Wang, J.-B., X.-Y. Wang, L.-H. Sun, and L.-Y. Sun. 2013. “Scheduling Jobs with Truncated Exponential Learning Functions.” Optimization Letters 7 (8): 1857–1873. doi: 10.1007/s11590-011-0433-9
  • Wang, J., and Z. Xia. 2005. “Flow-Shop Scheduling with a Learning Effect.” Journal of the Operational Research Society 56 (11): 1325–1330. doi: 10.1057/palgrave.jors.2601856
  • Wu, C.-C., A. Azzouz, I.-H. Chung, W.-C. Lin, and L. Ben Said. 2019. “A Two-Stage Three-Machine Assembly Scheduling Problem with Deterioration Effect.” International Journal of Production Research 57 (21): 6634–6647. doi: 10.1080/00207543.2019.1570378
  • Wu, C.-C., D. Bai, A. Azzouz, I.-H. Chung, S. R. Cheng, D. C. Jhwueng, W.-C. Lin, and L. Ben said. 2019. “A Branch-and-Bound and Four Metaheuristics for Minimizing Total Completion Time for a Two-Stage Assembly Flowshop Scheduling Problem with Learning Consideration.” Engineering Optimization. doi:10.1080/0305215X.2019.1632303.
  • Wu, C.-C., J. Y. Chen, W.-C. Lin, K. Lai, D. Bai, and S. Y. Lai. 2019. “A Two-Stage Three-Machine Assembly Scheduling Flowshop Problem with Both Two-Agent and Learning Phenomenon.” Computers & Industrial Engineering 130: 485–499. doi: 10.1016/j.cie.2019.02.047
  • Wu, C.-C., J.-Y. Chen, W.-C. Lin, K. Lai, S.-C. Liu, and P.-W. Yu. 2018. “A Two-Stage Three-Machine Assembly Flow Shop Scheduling with Learning Consideration to Minimize the Flowtime by Six Hybrids of Particle Swarm Optimization.” Swarm and Evolutionary Computation 41: 97–110. doi: 10.1016/j.swevo.2018.01.012
  • Wu, C.-C., S.-C. Liu, T. C. E. Cheng, Y. Cheng, S.-Y. Liu, and W.-C. Lin. 2018. “Re-entrant Flowshop Scheduling with Learning Considerations to Minimize the Makespan.” Iranian Journal of Science and Technology, Transactions A – Science 42: 727–744. doi: 10.1007/s40995-017-0236-7
  • Wu, C.-C., D. J. Wang, S.-R. Cheng, I.-H. Chung, and W.-C. Lin. 2018. “A Two-Stage Three-Machine Assembly Scheduling Problem with a Position-Based Learning Effect.” International Journal of Production Research 56 (9): 3064–3079. doi: 10.1080/00207543.2017.1401243
  • Wu, C.-C., W.-H. Wu, P.-H. Hsu, and K. Lai. 2012. “A Two-Machine Flowshop Scheduling Problem with a Truncated Sum of Processing-Times-Based Learning Function.” Applied Mathematical Modelling 36: 5001–5014. doi: 10.1016/j.apm.2011.12.038
  • Wu, C.-C., T.-H. Yang, X. Zhang, C.-C. Kang, I.-H. Chung, and W.-C. Lin. 2019. “Heuristic and Iterative Greedy Algorithms for the Total Weighted Completion Time Order Scheduling with Release Times.” Swarm and Evolutionary Computation 44: 913–926. doi: 10.1016/j.swevo.2018.10.003
  • Wu, W.-H., Y. Yin, S.-R. Cheng, P.-H. Hsu, and C.-C. Wu. 2014. “Genetic Algorithm for a Two-Agent Scheduling Problem with Truncated Learning Consideration.” Asia-Pacific Journal of Operational Research 31 (6): Article ID 1450046. doi: 10.1142/S0217595914500468
  • Wu, C.-C., Y. Yin, W.-H. Wu, and S.-R. Cheng. 2012. “Some Polynomial Solvable Single-Machine Scheduling Problems with a Truncation Sum-of-Processing-Times Based Learning Effect.” European Journal of Industrial Engineering 6 (4): 441–453. doi: 10.1504/EJIE.2012.047665
  • Yin, Y., T. C. E. Cheng, and C.-C. Wu. 2014. “Scheduling with Time-Dependent Processing Times.” Mathematical Problems in Engineering 2014: Article ID 201421.
  • Yin, Y., T. C. E. Cheng, and C.-C. Wu. 2015. “Scheduling with Time-Dependent Processing Times 2015.” Mathematical Problems in Engineering 2015: Article ID 367585.
  • Yin, Y., W.-H. Wu, W.-H. Wu, and C.-C. Wu. 2014. “A Branch-and-Bound Algorithm for a Single Machine Sequencing to Minimize the Total Tardiness with Arbitrary Release Dates and Position-Dependent Learning Effects.” Information Sciences 256: 91–108. doi: 10.1016/j.ins.2013.07.026

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.