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A branch-and-bound algorithm to minimize the line length of a two-sided assembly line

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  • Xiaofeng, Hu
  • Erfei, Wu
  • Jinsong, Bao
  • Ye, Jin

Abstract

A new branch-and-bound algorithm is presented to solve the two-sided assembly line balancing problem of type 1 (TALB-1). First, a pair of two directly facing station is defined as a position, and then the two-sided assembly line (TAL) is relaxed to a one-sided assembly line (OAL). Some new lower bound on positions are computed, and dominance rules and reduction rules for the one-sided assembly line balancing problem of type 1 (OALB-1) are extended and incorporated into a station-oriented assignment procedure for the TALB-1 problem. Finally, the tests are carried out on a well-known benchmark set of problem instances, and experimental results demonstrate that the proposed procedure is efficient.

Suggested Citation

  • Xiaofeng, Hu & Erfei, Wu & Jinsong, Bao & Ye, Jin, 2010. "A branch-and-bound algorithm to minimize the line length of a two-sided assembly line," European Journal of Operational Research, Elsevier, vol. 206(3), pages 703-707, November.
    • Handle: RePEc:eee:ejores:v:206:y:2010:i:3:p:703-707
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    References listed on IDEAS

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    1. Klein, Robert & Scholl, Armin, 1996. "Maximizing the production rate in simple assembly line balancing -- A branch and bound procedure," European Journal of Operational Research, Elsevier, vol. 91(2), pages 367-385, June.
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    Cited by:

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    3. Li, Zixiang & Kucukkoc, Ibrahim & Zhang, Zikai, 2020. "Branch, bound and remember algorithm for two-sided assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 284(3), pages 896-905.
    4. Ashish Yadav & Pawan Verma & Sunil Agrawal, 2020. "Mixed model two sided assembly line balancing problem: an exact solution approach," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 11(2), pages 335-348, July.
    5. Yılmaz Delice & Emel Kızılkaya Aydoğan & Uğur Özcan & Mehmet Sıtkı İlkay, 2017. "Balancing two-sided U-type assembly lines using modified particle swarm optimization algorithm," 4OR, Springer, vol. 15(1), pages 37-66, March.
    6. 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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