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General Planning Horizons for Production Smoothing with Deterministic Demands

Author

Listed:
  • Howard C. Kunreuther

    (University of Pennsylvania)

  • Thomas E. Morton

    (University of Chicago (Visiting) and Carnegie-Mellon University)

Abstract

In Part I of this paper, we developed an algorithm for finding planning horizons for the deterministic production smoothing problem when all demand was required to be met from regular production, under rather general assumptions for the production, production smoothing, and holding cost functions. Here, in Part II, we develop analogous planning horizons when the model is extended to include such factors as overtime, lost sales, simple subcontracting, undertime, and backlogging. Part II depends heavily on Part I. To avoid unnecessary tedium, all cost functions will be assumed to be stationary in Part II. Overtime, undertime, holding, and backlogging will be assumed to be convex increasing, all other costs linear and proportional. However, it is not difficult to see that the techniques of Part I can be utilized directly to cover more general cost functions. Part II concludes with a discussion of the application of our general approach to actual data.

Suggested Citation

  • Howard C. Kunreuther & Thomas E. Morton, 1974. "General Planning Horizons for Production Smoothing with Deterministic Demands," Management Science, INFORMS, vol. 20(7), pages 1037-1046, March.
    • Handle: RePEc:inm:ormnsc:v:20:y:1974:i:7:p:1037-1046
    DOI: 10.1287/mnsc.20.7.1037
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    Cited by:

    1. Archis Ghate & Robert L. Smith, 2009. "Optimal Backlogging Over an Infinite Horizon Under Time-Varying Convex Production and Inventory Costs," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 362-368, June.
    2. Dobos, Imre, 1996. "Aggregate planning with continuous time," International Journal of Production Economics, Elsevier, vol. 43(1), pages 1-9, May.
    3. Robert L. Smith & Rachel Q. Zhang, 1998. "Infinite Horizon Production Planning in Time-Varying Systems with Convex Production and Inventory Costs," Management Science, INFORMS, vol. 44(9), pages 1313-1320, September.
    4. Molinder, Anders, 1995. "Application of calculus of variations to a continuous time aggregate production model," International Journal of Production Economics, Elsevier, vol. 41(1-3), pages 273-280, October.
    5. Yasemin Merzifonluoğlu & Joseph Geunes & H.E. Romeijn, 2007. "Integrated capacity, demand, and production planning with subcontracting and overtime options," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(4), pages 433-447, June.
    6. Suresh Chand & Vernon Ning Hsu & Suresh Sethi, 2002. "Forecast, Solution, and Rolling Horizons in Operations Management Problems: A Classified Bibliography," Manufacturing & Service Operations Management, INFORMS, vol. 4(1), pages 25-43, September.

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