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Solution of the Akers-Friedman Scheduling Problem

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  • Włodzimierz Szwarc

    (Polytechnic Institute, Wroclaw, Poland)

Abstract

The solution of the Akers-Friedman production scheduling problem for the case of two parts and m machines (2 × m ) is given. The combination of dynamic programming and graphical approaches makes the method of solution especially effective. Even for large m the solution is very quickly obtained by using the proposed method. The case n × m is discussed and a 3 × 10 example is solved.

Suggested Citation

  • Włodzimierz Szwarc, 1960. "Solution of the Akers-Friedman Scheduling Problem," Operations Research, INFORMS, vol. 8(6), pages 782-788, December.
    • Handle: RePEc:inm:oropre:v:8:y:1960:i:6:p:782-788
    DOI: 10.1287/opre.8.6.782
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    Cited by:

    1. Peter Brucker & Yu Sotskov & Frank Werner, 2007. "Complexity of shop-scheduling problems with fixed number of jobs: a survey," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(3), pages 461-481, June.
    2. Yuri N. Sotskov, 2020. "Mixed Graph Colorings: A Historical Review," Mathematics, MDPI, vol. 8(3), pages 1-24, March.
    3. Jain, A. S. & Meeran, S., 1999. "Deterministic job-shop scheduling: Past, present and future," European Journal of Operational Research, Elsevier, vol. 113(2), pages 390-434, March.
    4. A. Agnetis & P.B. Mirchandani & D. Pacciarelli & A. Pacifici, 2000. "Nondominated Schedules for a Job-Shop with Two Competing Users," Computational and Mathematical Organization Theory, Springer, vol. 6(2), pages 191-217, July.
    5. Souren, Rainer & Gerlach, Kurt, 2007. "Graphische Verfahren zur Maschinenbelegungsplanung: Lösungsansätze für Probleme mit zwei Aufträgen und mehrdimensionale Erweiterungen," Ilmenauer Schriften zur Betriebswirtschaftslehre, Technische Universität Ilmenau, Institut für Betriebswirtschaftslehre, volume 1, number 12007.
    6. Y N Sotskov & A Allahverdi & T-C Lai, 2004. "Flowshop scheduling problem to minimize total completion time with random and bounded processing times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(3), pages 277-286, March.

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