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Technical Note—Assembly-Line Balancing: Zero-One Programming with Fibonacci Search

Author

Listed:
  • James H. Patterson

    (The Pennsylvania State University, University Park, Pennsylvania)

  • Joseph J. Albracht

    (RCA Solid State, Sommerville, New Jersey)

Abstract

This paper presents a zero-one integer-programming formulation of the assembly line balancing (ALB) problem. Results indicate that this formulation requires as few as 50 to 60 percent of the number of variables required by other zero-one formulations of the ALB problem now in existence. Once formulated, problems are solved by examining a sequence of 0-1 programming problems for feasible solutions. Full advantage is taken of the structure of the 0-1 programs in determining feasibility. Computational results demonstrate the efficacy of the approach.

Suggested Citation

  • James H. Patterson & Joseph J. Albracht, 1975. "Technical Note—Assembly-Line Balancing: Zero-One Programming with Fibonacci Search," Operations Research, INFORMS, vol. 23(1), pages 166-172, February.
    • Handle: RePEc:inm:oropre:v:23:y:1975:i:1:p:166-172
    DOI: 10.1287/opre.23.1.166
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    Cited by:

    1. Bukchin, Yossi & Raviv, Tal, 2018. "Constraint programming for solving various assembly line balancing problems," Omega, Elsevier, vol. 78(C), pages 57-68.
    2. Lopes, Thiago Cantos & Sikora, C.G.S. & Molina, Rafael Gobbi & Schibelbain, Daniel & Rodrigues, L.C.A. & Magatão, Leandro, 2017. "Balancing a robotic spot welding manufacturing line: An industrial case study," European Journal of Operational Research, Elsevier, vol. 263(3), pages 1033-1048.
    3. Rasul Esmaeilbeigi & Bahman Naderi & Parisa Charkhgard, 2016. "New formulations for the setup assembly line balancing and scheduling problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(2), pages 493-518, March.
    4. Sikora, Celso Gustavo Stall & Lopes, Thiago Cantos & Magatão, Leandro, 2017. "Traveling worker assembly line (re)balancing problem: Model, reduction techniques, and real case studies," European Journal of Operational Research, Elsevier, vol. 259(3), pages 949-971.
    5. Armin Scholl & Nils Boysen & Malte Fliedner, 2009. "Optimally solving the alternative subgraphs assembly line balancing problem," Annals of Operations Research, Springer, vol. 172(1), pages 243-258, November.
    6. Hassan Zohali & Bahman Naderi & Vahid Roshanaei, 2022. "Solving the Type-2 Assembly Line Balancing with Setups Using Logic-Based Benders Decomposition," INFORMS Journal on Computing, INFORMS, vol. 34(1), pages 315-332, January.
    7. Sprecher, Arno, 1997. "A competitive exact algorithm for assembly line balancing," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 449, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

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