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The Use of Mathematics in Production and Inventory Control--II (Theory of Scheduling)

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  • Andrew Vazsonyi

    (Ramo-Wooldridge Corp. Los Angeles 45, California)

Abstract

In a previous paper (The Use of Mathematics in Production and Inventory Control--I, (Theory of Parts Listing). Paper published in Management Science, vol. 1, no. 1, October 1954. We refer to this report as (I).), the problem of parts requirements was analyzed with the aid of matrix equations. In the present paper, this analysis is extended to include the time dependence of parts requirements. A system of equations is developed which relates to a given shipping schedule the schedule of requirements for each assembly, or subassembly.

Suggested Citation

  • Andrew Vazsonyi, 1955. "The Use of Mathematics in Production and Inventory Control--II (Theory of Scheduling)," Management Science, INFORMS, vol. 1(3-4), pages 207-223, 04-07.
    • Handle: RePEc:inm:ormnsc:v:1:y:1955:i:3-4:p:207-223
    DOI: 10.1287/mnsc.1.3-4.207
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    Cited by:

    1. Attila Chikán & Linda G. Sprague, 2019. "A life cycle model of major innovations in operations management," International Journal of Quality Innovation, Springer, vol. 5(1), pages 1-13, December.
    2. Segerstedt, Anders, 1996. "Formulas of MRP," International Journal of Production Economics, Elsevier, vol. 46(1), pages 127-136, December.
    3. S.S. Panwalkar & Christos Koulamas, 2015. "Scheduling research and the first decade of NRLQ: A historical perspective," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(4), pages 335-344, June.
    4. Grubbström, Robert W., 2021. "Production decisions based on absolute vs. relative risk aversion and their extensions," International Journal of Production Economics, Elsevier, vol. 234(C).
    5. Bogataj, Ludvik & Horvat, Liljana, 1996. "Stochastic considerations of Grubbstrom--Molinder model of MRP, input-output and multi-echelon inventory systems," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 329-336, August.
    6. Grubbstrom, Robert W. & Wang, Zhiping, 2003. "A stochastic model of multi-level/multi-stage capacity-constrained production-inventory systems," International Journal of Production Economics, Elsevier, vol. 81(1), pages 483-494, January.
    7. Robert Grubbstrom & Ou Tang, 2000. "An Overview of Input-Output Analysis Applied to Production-Inventory Systems," Economic Systems Research, Taylor & Francis Journals, vol. 12(1), pages 3-25.
    8. Grubbstrom, Robert W., 1995. "Modelling production opportunities -- an historical overview," International Journal of Production Economics, Elsevier, vol. 41(1-3), pages 1-14, October.
    9. Grubbstrom, Robert W., 1998. "A net present value approach to safety stocks in planned production," International Journal of Production Economics, Elsevier, vol. 56(1), pages 213-229, September.
    10. Grubbstrom, Robert W., 1999. "A net present value approach to safety stocks in a multi-level MRP system," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 361-375, March.

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