Optimal Backlogging Over an Infinite Horizon Under Time-Varying Convex Production and Inventory Costs

Published Online:https://doi.org/10.1287/msom.1080.0218

References

  • Bean J., Smith R. L. Conditions for the existence of planning horizons. Math. Oper. Res. (1984) 9:391–401LinkGoogle Scholar
  • Bean J., Smith R. L. Conditions for the discovery of planning horizons. Math. Programming (1993) 59:215–229CrossrefGoogle Scholar
  • Bean J., Smith R., Yano C. Forecast horizons for the discounted dynamic lot size model allowing speculative motive. Naval Res. Logist. Quart. (1987) 34:761–774CrossrefGoogle Scholar
  • Bes C., Sethi S. Concepts of forecast and decision horizons: Applications to dynamic stochastic optimization problems. Math. Oper. Res. (1988) 13:295–310LinkGoogle Scholar
  • Blackburn J., Kunreuther H. Planning horizons for the dynamic lot size model with backlogging. Management Sci. (1974) 21:251–255LinkGoogle Scholar
  • Chand S., Morton T. Minimal forecast horizon procedures for dynamic lot size models. Naval Res. Logist. Quart. (1986) 33:11–122Google Scholar
  • Chand S., Hsu V. N., Sethi S. Forecast, solution, and rolling horizons in operations management problems: A classified bibliography. Manufacturing Service Oper. Management (2002) 4(1):25–43LinkGoogle Scholar
  • Chand S., Sethi S., Proth J. M. Existence of forecast horizons in undiscounted discrete-time lot size models. Oper. Res. (1990) 38(5):884–892LinkGoogle Scholar
  • Chand S., Sethi S., Sorger G. Forecast horizons in the discounted dynamic lot size model. Management Sci. (1992) 38(7):1034–1048LinkGoogle Scholar
  • Cheevaprawatdomrong T., Smith R. L. Infinite horizon production scheduling in time-varying systems under stochastic demand. Oper. Res. (2004) 52(1LinkGoogle Scholar
  • Chen H., Lee C. Error bound for the dynamic lot size model allowing speculative motive. IIE Trans. (1995) 27:683–688CrossrefGoogle Scholar
  • Denardo E.Dynamic Programming: Models and Applications (1982) (Prentice Hall, Englewood Cliffs, New Jersey) Google Scholar
  • Eppen G. D., Gould F. J., Pashigian B. P. Extensions of the planning horizon theorem in the dynamic lot size model. Management Sci. (1969) 15(5):268–277LinkGoogle Scholar
  • Federgruen A., Tzur M. A simple forward algorithm to solve general dynamic lot sizing models with n periods. Management Sci. (1991) 15:268–277Google Scholar
  • Federgruen A., Tzur M. Minimal forecast horizons and a new planning procedure for the general dynamic lot sizing model: Nervousness revisited. Oper. Res. (1994) 42(3):456–468LinkGoogle Scholar
  • Kunreuther H. C., Morton T. E. Planning horizons for production smoothing with deterministic demands. Management Sci. (1973) 20:110–125LinkGoogle Scholar
  • Kunreuther H. C., Morton T. E. General planning horizons for production smoothing with deterministic demands. Management Sci. (1974) 20:1037–1046LinkGoogle Scholar
  • Lee D. R., Orr D. Further results on planning horizons in the production smoothing problem. Management Sci. (1977) 23:490–498LinkGoogle Scholar
  • Modigliani F., Hohn F. E. Production planning over time and the nature of the expectation and planning horizon. Econometrica (1955) 23:46–66CrossrefGoogle Scholar
  • Morton T. The non-stationary infinite horizon inventory problem. Management Sci. (1978a) 24:1474–1482LinkGoogle Scholar
  • Morton T. Universal planning horizons for generalized convex production scheduling. Oper. Res. (1978b) 26:1046–1058LinkGoogle Scholar
  • Schochetman I. E., Smith R. L. Infinite horizon optimization. Math. Oper. Res. (1989) 14:559–574LinkGoogle Scholar
  • Schochetman I. E., Smith R. L. Finite dimensional approximation in infinite dimensional mathematical programming. Math. Programming (1992) 54:307–333CrossrefGoogle Scholar
  • Smith R. L., Zhang R. Infinite horizon production planning in time-varying systems with convex production and inventory costs. Management Sci. (1998) 44(9):1313–1320LinkGoogle Scholar
  • Thompson L. J., Sethi S. P. Turnpike horizons for production planning. Management Sci. (1980) 26:229–241LinkGoogle Scholar
  • Veinott A. F. Production planning with convex costs: A parametric study. Management Sci. (1964) 10:441–460LinkGoogle Scholar
  • Wagelmans A., Van Hoesel S., Kolen A. Economic lot sizing: An O(n log n) algorithm that runs in linear time in the Wagner-Whitin case. (1989) . CORE Discussion Paper 8922, Universite Catholique de Louvain, Louvain-la-Neuve, BelgiumGoogle Scholar
  • Wagner H. M., Whitin T. M. Dynamic version of the economic lot size model. Management Sci. (1958) 5:89–96LinkGoogle Scholar
  • Zabel E. Some generalizations of an inventory planning horizon theorem. Management Sci. (1964) 10(3):465–471LinkGoogle Scholar
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