IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpge/0309002.html
   My bibliography  Save this paper

An exact method for cost-oriented assembly line balancing

Author

Listed:
  • Matthias Amen

    (University of Duisburg & Essen)

Abstract

After a characterization of the cost-oriented assembly line balancing problem it will be shown that by loading the stations maximally the cost-oriented optimum can be missed. Instead of loading the stations maximally the criterion two-stations-rule a has to be used. For generating optimal solutions an exact backtracking method is introduced in which the enumeration process is limited by modied and new bounding rules. Results of an experimental investigation show that the new method finds optimal solutions for small and medium-sized problem instances in acceptable time.

Suggested Citation

  • Matthias Amen, 2003. "An exact method for cost-oriented assembly line balancing," GE, Growth, Math methods 0309002, University Library of Munich, Germany, revised 09 Sep 2003.
    • Handle: RePEc:wpa:wuwpge:0309002
    Note: Type of Document - pdf; pages: 9 ; figures: 3 figures, 2 tables. exact method has been implemented successfully in an production plant for household durables
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/ge/papers/0309/0309002.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Roger V. Johnson, 1988. "Optimally Balancing Large Assembly Lines with "Fable"," Management Science, INFORMS, vol. 34(2), pages 240-253, February.
    2. James R. Jackson, 1956. "A Computing Procedure for a Line Balancing Problem," Management Science, INFORMS, vol. 2(3), pages 261-271, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jonathan Oesterle & Lionel Amodeo & Farouk Yalaoui, 2019. "A comparative study of Multi-Objective Algorithms for the Assembly Line Balancing and Equipment Selection Problem under consideration of Product Design Alternatives," Journal of Intelligent Manufacturing, Springer, vol. 30(3), pages 1021-1046, March.
    2. Amen, Matthias, 2001. "Heuristic methods for cost-oriented assembly line balancing: A comparison on solution quality and computing time," International Journal of Production Economics, Elsevier, vol. 69(3), pages 255-264, February.
    3. 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.
    4. Amen, Matthias, 2000. "Heuristic methods for cost-oriented assembly line balancing: A survey," International Journal of Production Economics, Elsevier, vol. 68(1), pages 1-14, October.
    5. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2008. "Assembly line balancing: Which model to use when," International Journal of Production Economics, Elsevier, vol. 111(2), pages 509-528, February.
    6. 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.
    7. Becker, Christian & Scholl, Armin, 2006. "A survey on problems and methods in generalized assembly line balancing," European Journal of Operational Research, Elsevier, vol. 168(3), pages 694-715, February.
    8. Scholl, Armin & Becker, Christian, 2005. "A note on "An exact method for cost-oriented assembly line balancing"," International Journal of Production Economics, Elsevier, vol. 97(3), pages 343-352, September.
    9. Dashuang Li & Chaoyong Zhang & Xinyu Shao & Wenwen Lin, 2016. "A multi-objective TLBO algorithm for balancing two-sided assembly line with multiple constraints," Journal of Intelligent Manufacturing, Springer, vol. 27(4), pages 725-739, August.
    10. Amen, Matthias, 2006. "Cost-oriented assembly line balancing: Model formulations, solution difficulty, upper and lower bounds," European Journal of Operational Research, Elsevier, vol. 168(3), pages 747-770, February.
    11. Boysen, Nils & Schulze, Philipp & Scholl, Armin, 2022. "Assembly line balancing: What happened in the last fifteen years?," European Journal of Operational Research, Elsevier, vol. 301(3), pages 797-814.
    12. Boysen, Nils & Fliedner, Malte, 2008. "A versatile algorithm for assembly line balancing," European Journal of Operational Research, Elsevier, vol. 184(1), pages 39-56, January.
    13. Gamberi, M. & Gamberini, R. & Manzini, R. & Regattieri, A., 2008. "An analytical model to evaluating the implementation of a batch-production-oriented line," International Journal of Production Economics, Elsevier, vol. 111(2), pages 729-740, February.
    14. Miralles, Cristobal & Garcia-Sabater, Jose Pedro & Andres, Carlos & Cardos, Manuel, 2007. "Advantages of assembly lines in Sheltered Work Centres for Disabled. A case study," International Journal of Production Economics, Elsevier, vol. 110(1-2), pages 187-197, October.
    15. Sternatz, Johannes, 2014. "Enhanced multi-Hoffmann heuristic for efficiently solving real-world assembly line balancing problems in automotive industry," European Journal of Operational Research, Elsevier, vol. 235(3), pages 740-754.
    16. Ozdemir, Rifat & Sarigol, Ilkan & AlMutairi, Sarah & AlMeea, Sarah & Murad, Abrar & Naqi, Aseel & AlNasser, Noor, 2021. "Fuzzy multi-objective model for assembly line balancing with ergonomic risks consideration," International Journal of Production Economics, Elsevier, vol. 239(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Pape, Tom, 2015. "Heuristics and lower bounds for the simple assembly line balancing problem type 1: Overview, computational tests and improvements," European Journal of Operational Research, Elsevier, vol. 240(1), pages 32-42.
    3. Walter, Rico & Schulze, Philipp & Scholl, Armin, 2021. "SALSA: Combining branch-and-bound with dynamic programming to smoothen workloads in simple assembly line balancing," European Journal of Operational Research, Elsevier, vol. 295(3), pages 857-873.
    4. Scholl, Armin & Becker, Christian, 2006. "State-of-the-art exact and heuristic solution procedures for simple assembly line balancing," European Journal of Operational Research, Elsevier, vol. 168(3), pages 666-693, February.
    5. Boysen, Nils & Fliedner, Malte, 2008. "A versatile algorithm for assembly line balancing," European Journal of Operational Research, Elsevier, vol. 184(1), pages 39-56, January.
    6. Scholl, Armin & Becker, Christian, 2005. "A note on "An exact method for cost-oriented assembly line balancing"," International Journal of Production Economics, Elsevier, vol. 97(3), pages 343-352, September.
    7. Bautista, Joaquín & Pereira, Jordi, 2011. "Procedures for the Time and Space constrained Assembly Line Balancing Problem," European Journal of Operational Research, Elsevier, vol. 212(3), pages 473-481, August.
    8. Bukchin, Yossi & Raviv, Tal, 2018. "Constraint programming for solving various assembly line balancing problems," Omega, Elsevier, vol. 78(C), pages 57-68.
    9. Eduardo Álvarez-Miranda & Jordi Pereira & Harold Torrez-Meruvia & Mariona Vilà, 2021. "A Hybrid Genetic Algorithm for the Simple Assembly Line Balancing Problem with a Fixed Number of Workstations," Mathematics, MDPI, vol. 9(17), pages 1-19, September.
    10. Scholl, Armin & Fliedner, Malte & Boysen, Nils, 2010. "Absalom: Balancing assembly lines with assignment restrictions," European Journal of Operational Research, Elsevier, vol. 200(3), pages 688-701, February.
    11. Sprecher, Arno, 2000. "SALBLIB: Challenging instances for assembly line balancing," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 526, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    12. Amen, Matthias, 2006. "Cost-oriented assembly line balancing: Model formulations, solution difficulty, upper and lower bounds," European Journal of Operational Research, Elsevier, vol. 168(3), pages 747-770, February.
    13. Vilà, Mariona & Pereira, Jordi, 2013. "An enumeration procedure for the assembly line balancing problem based on branching by non-decreasing idle time," European Journal of Operational Research, Elsevier, vol. 229(1), pages 106-113.
    14. Becker, Christian & Scholl, Armin, 2009. "Balancing assembly lines with variable parallel workplaces: Problem definition and effective solution procedure," European Journal of Operational Research, Elsevier, vol. 199(2), pages 359-374, December.
    15. 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.
    16. Schulze, Philipp & Scholl, Armin & Walter, Rico, 2024. "R-SALSA: A branch, bound, and remember algorithm for the workload smoothing problem on simple assembly lines," European Journal of Operational Research, Elsevier, vol. 312(1), pages 38-55.
    17. 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.
    18. Boysen, Nils & Schulze, Philipp & Scholl, Armin, 2022. "Assembly line balancing: What happened in the last fifteen years?," European Journal of Operational Research, Elsevier, vol. 301(3), pages 797-814.
    19. Peeters, Marc & Degraeve, Zeger, 2006. "An linear programming based lower bound for the simple assembly line balancing problem," European Journal of Operational Research, Elsevier, vol. 168(3), pages 716-731, February.
    20. Borba, Leonardo & Ritt, Marcus & Miralles, Cristóbal, 2018. "Exact and heuristic methods for solving the Robotic Assembly Line Balancing Problem," European Journal of Operational Research, Elsevier, vol. 270(1), pages 146-156.

    More about this item

    Keywords

    Assembly line balancing; Cost-oriented production planning; Exact methods;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • M11 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Production Management
    • M12 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Personnel Management; Executives; Executive Compensation
    • M41 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Accounting

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wpa:wuwpge:0309002. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.