Infinite Horizon Production Planning in Time-Varying Systems with Convex Production and Inventory Costs

References

• Aggarwal A., Park J. K. Improved algorithms for economic lotsize problems. (1990) . Working paper, IBM Thomas J. Watson Research Center, Yorktown Heights, NYGoogle Scholar
• Bean J., Smith R. L. Conditions for the existence of planning horizons. Math. Oper. Res. (1984) 9:391–401Link, Google Scholar
• Bean J., Smith R. L. Conditions for the discovery of solution horizons. Math. Programming (1993) 59:215–229Crossref, Google Scholar
• Bensoussan A., Crouhy J., Proth J. M.Mathematical Theory of Production Planning (1993) (Advanced Series in Management, North-Holland, Amsterdam) Google Scholar
• Bes C., Sethi S. Concepts of forecast and decision horizons: Applications to dynamic stochastic optimization problems. Math. Oper. Res. (1988) 13:295–310Link, Google Scholar
• Blackburn J. D., Kunreuther H. Planning horizons for the dynamic lot size model with backlogging. Management Sci. (1974) 21:251–255Link, Google Scholar
• Chand S. Lot sizing for products with finite demand horizon and periodic review policy. Eur. J. Oper. Res. (1982) 11:145–148Crossref, Google Scholar
• Chand S., Morton T. E. Minimal forecast horizon procedures for dynamic lot size models. Naval Res. Logist. Quart. (1982) 33:111–122Crossref, Google Scholar
• Chand S., Sethi S., Proth J. M. Existence of forecast horizons in undiscounted discrete-time lot size models. Oper. Res. (1990) 38:884–892Link, Google Scholar
• Chand S., Sethi S., Sorger G. Forecast horizons in the discounted dynamic lot size model. (1989) . Working paper, University of Toronto, Toronto, CanadaGoogle Scholar
• Denardo E.Dynamic Programming: Models and Applications (1989) (Prentice-Hall, Englewood Cliffs, NJ) Google Scholar
• Eppen G. D., Gould F. J., Pashigan B. P. Extensions of the planning horizon theorem in the dynamic lot size model. Management Sci. (1969) 15:268–277Link, Google Scholar
• Federgruen A., Tzur M. A simple forward algorithm to solve general dynamic lot sizing models with n periods. Management Sci. (1991) 37:909–925Link, Google Scholar
• Federgruen A., Tzur M. Fast solution and detection of minimal forecast horizons in dynamic programs with a single indicator of the future: Application to dynamic lot-sizing models. (1992) . Working paper, Graduate School of Business, Columbia University, New YorkGoogle Scholar
• Harris F. W. How many parts to make at once. Factory: The Magazine of Management (1913) 10:135–136152. Reprint 1990, Oper. Res. 38947–950Google Scholar
• Heyman D., Sobel M.Stochastic Models in Operations Research (1984) II.(McGraw-Hill, NY) Google Scholar
• Kunreuther H. C., Morton T. E. Planning horizons for production smoothing with deterministic demands. Management Sci. (1973) 20:110–125Link, Google Scholar
• Kunreuther H. C., Morton T. E. General planning horizons for production smoothing with deterministic demands. Management Sci. (1974) 20:1037–1046Link, Google Scholar
• Lee D. R., Orr D. Further results on planning horizons in the production smoothing problem. Management Sci. (1977) 23:490–498Link, Google Scholar
• Lundin R. A., Morton T. E. Planning horizons for the dynamic lot size model: Zabel vs. protective procedures and computational results. Oper. Res. (1975) 23:711–734Link, Google Scholar
• Modigliani F., Hohn F. E. Production planning over time and the nature of the expectation and planning horizon. Econometrica (1955) 23:46–66Crossref, Google Scholar
• Morton T. The nonstationary infinite horizon inventory problem. Management Sci. (1978a) 24:1474–1482Link, Google Scholar
• Morton T. Universal planning horizons for generalized convex production scheduling. Oper. Res. (1978b) 26:1046–1058Link, Google Scholar
• Schochetman E. E., Smith R. L. Infinite horizon optimization. Math. Oper. Res. (1989) 14:559–574Link, Google Scholar
• Schochetman E. E., Smith R. L. Finite dimensional approximation in infinite dimensional mathematical programming. Math. Programming (1992) 54:307–333Crossref, Google Scholar
• Thomas L. J. Price-production decisions with deterministic demand. Management Sci. (1970) 16:747–750Link, Google Scholar
• Thompson G. L., Sethi S. P. Turnpike horizons for production planning. Management Sci. (1980) 26:229–241Link, Google Scholar
• Veinott A. F. Production planning with convex costs: A parametric study. Management Sci. (1964) 10:441–460Link, Google 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 no. 8922. Université 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) 5:89–96Link, Google Scholar
• Zabel E. Some generalizations of the inventory planning horizon theorem. Management Sci. (1964) 10:465–471Link, Google Scholar