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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. 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.
    3. 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.
    4. Yuri N. Sotskov, 2020. "Mixed Graph Colorings: A Historical Review," Mathematics, MDPI, vol. 8(3), pages 1-24, March.
    5. 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.
    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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