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An optimal piecewise-linear program for the U-line balancing problem with stochastic task times

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  • Urban, Timothy L.
  • Chiang, Wen-Chyuan

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  • Urban, Timothy L. & Chiang, Wen-Chyuan, 2006. "An optimal piecewise-linear program for the U-line balancing problem with stochastic task times," European Journal of Operational Research, Elsevier, vol. 168(3), pages 771-782, February.
    • Handle: RePEc:eee:ejores:v:168:y:2006:i:3:p:771-782
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    1. Timothy L. Urban, 1998. "Note. Optimal Balancing of U-Shaped Assembly Lines," Management Science, INFORMS, vol. 44(5), pages 738-741, May.
    2. Kenneth H. Doerr & Theodore D. Klastorin & Michael J. Magazine, 2000. "Synchronous Unpaced Flow Lines with Worker Differences and Overtime Cost," Management Science, INFORMS, vol. 46(3), pages 421-435, March.
    3. Miltenburg, John, 2001. "U-shaped production lines: A review of theory and practice," International Journal of Production Economics, Elsevier, vol. 70(3), pages 201-214, April.
    4. F. Brian Talbot & James H. Patterson, 1984. "An Integer Programming Algorithm with Network Cuts for Solving the Assembly Line Balancing Problem," Management Science, INFORMS, vol. 30(1), pages 85-99, January.
    5. Robert L. Carraway, 1989. "A Dynamic Programming Approach to Stochastic Assembly Line Balancing," Management Science, INFORMS, vol. 35(4), pages 459-471, April.
    6. Scholl, Armin, 1995. "Balancing and sequencing of assembly lines," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 9690, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    7. Suresh Chand & Ting Zeng, 2001. "A Comparison of U-Line and Straight-Line Performances Under Stochastic Task Times," Manufacturing & Service Operations Management, INFORMS, vol. 3(2), pages 138-150, January.
    8. .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.
    9. Roger V. Johnson, 1988. "Optimally Balancing Large Assembly Lines with "Fable"," Management Science, INFORMS, vol. 34(2), pages 240-253, February.
    10. G. J. Miltenburg & J. Wijngaard, 1994. "The U-line Line Balancing Problem," Management Science, INFORMS, vol. 40(10), pages 1378-1388, October.
    11. Edward P. C. Kao, 1976. "A Preference Order Dynamic Program for Stochastic Assembly Line Balancing," Management Science, INFORMS, vol. 22(10), pages 1097-1104, June.
    12. Linus Schrage & Kenneth R. Baker, 1978. "Dynamic Programming Solution of Sequencing Problems with Precedence Constraints," Operations Research, INFORMS, vol. 26(3), pages 444-449, June.
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    Cited by:

    1. Süleyman Mete & Faruk Serin & Zeynel Abidin Çil & Erkan Çelik & Eren Özceylan, 2023. "A comparative analysis of meta-heuristic methods on disassembly line balancing problem with stochastic time," Annals of Operations Research, Springer, vol. 321(1), pages 371-408, February.
    2. Urban, Timothy L. & Chiang, Wen-Chyuan, 2016. "Designing energy-efficient serial production lines: The unpaced synchronous line-balancing problem," European Journal of Operational Research, Elsevier, vol. 248(3), pages 789-801.
    3. Bentaha, Mohand Lounes & Battaïa, Olga & Dolgui, Alexandre & Hu, S. Jack, 2015. "Second order conic approximation for disassembly line design with joint probabilistic constraints," European Journal of Operational Research, Elsevier, vol. 247(3), pages 957-967.
    4. 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.
    5. Ibrahim Kucukkoc & David Z. Zhang, 2017. "Balancing of mixed-model parallel U-shaped assembly lines considering model sequences," International Journal of Production Research, Taylor & Francis Journals, vol. 55(20), pages 5958-5975, October.
    6. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2007. "A classification of assembly line balancing problems," European Journal of Operational Research, Elsevier, vol. 183(2), pages 674-693, December.
    7. Diefenbach, Johannes & Stolletz, Raik, 2022. "Stochastic assembly line balancing: General bounds and reliability-based branch-and-bound algorithm," European Journal of Operational Research, Elsevier, vol. 302(2), pages 589-605.
    8. Emel Kızılkaya Aydoğan & Yılmaz Delice & Uğur Özcan & Cevriye Gencer & Özkan Bali, 2019. "Balancing stochastic U-lines using particle swarm optimization," Journal of Intelligent Manufacturing, Springer, vol. 30(1), pages 97-111, January.
    9. Özcan, Ugur, 2010. "Balancing stochastic two-sided assembly lines: A chance-constrained, piecewise-linear, mixed integer program and a simulated annealing algorithm," European Journal of Operational Research, Elsevier, vol. 205(1), pages 81-97, August.
    10. Chiang, Wen-Chyuan & Urban, Timothy L., 2006. "The stochastic U-line balancing problem: A heuristic procedure," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1767-1781, December.
    11. Sikora, Celso Gustavo Stall, 2024. "Balancing mixed-model assembly lines for random sequences," European Journal of Operational Research, Elsevier, vol. 314(2), pages 597-611.
    12. Pereira, Jordi & Álvarez-Miranda, Eduardo, 2018. "An exact approach for the robust assembly line balancing problem," Omega, Elsevier, vol. 78(C), pages 85-98.
    13. Battaïa, Olga & Dolgui, Alexandre, 2013. "A taxonomy of line balancing problems and their solutionapproaches," International Journal of Production Economics, Elsevier, vol. 142(2), pages 259-277.
    14. Sabuncuoglu, Ihsan & Erel, Erdal & Alp, Arda, 2009. "Ant colony optimization for the single model U-type assembly line balancing problem," International Journal of Production Economics, Elsevier, vol. 120(2), pages 287-300, August.
    15. Otto, Alena & Otto, Christian & Scholl, Armin, 2013. "Systematic data generation and test design for solution algorithms on the example of SALBPGen for assembly line balancing," European Journal of Operational Research, Elsevier, vol. 228(1), pages 33-45.
    16. Beste Desticioglu & Hatice Calipinar & Bahar Ozyoruk & Erdinc Koc, 2022. "Model for Reverse Logistic Problem of Recycling under Stochastic Demand," Sustainability, MDPI, vol. 14(8), pages 1-19, April.
    17. Lin, C.K.Y., 2009. "Stochastic single-source capacitated facility location model with service level requirements," International Journal of Production Economics, Elsevier, vol. 117(2), pages 439-451, February.
    18. Evgeny Gurevsky & Olga Battaïa & Alexandre Dolgui, 2012. "Balancing of simple assembly lines under variations of task processing times," Annals of Operations Research, Springer, vol. 201(1), pages 265-286, December.
    19. Wen-Chyuan Chiang & Timothy L. Urban & Chunyong Luo, 2016. "Balancing stochastic two-sided assembly lines," International Journal of Production Research, Taylor & Francis Journals, vol. 54(20), pages 6232-6250, October.

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