Forecast Horizons for a Class of Dynamic Lot-Size Problems Under Discrete Future Demand

References

• Aronson J. E., Morton T. E., Thompson G. L. A forward algorithm and planning horizon procedure for the production smoothing problem without inventory. Eur. J. Oper. Res. (1984) 15:348–365Crossref, Google Scholar
• Bastian M., Volkmer M. A perfect forward procedure for a single facility dynamic location relocation problem. Oper. Res. Lett. (1992) 12:11–16Crossref, Google Scholar
• Bean J., Smith R. L., Yano C. Forecast horizons for the discounted dynamic lot size model allowing speculative motive. Naval Res. Logist. Quart. (1987) 34:761–774Crossref, Google Scholar
• Bensoussan A., Crouhy J., Proth J. M. Mathematical theory of production planning. Advanced Series in Management (1983) (North-Holland, Amsterdam, The Netherlands) Google Scholar
• Bes C., Sethi S. P. Concepts of forecast and decision horizons: Applications to dynamic stochastic optimization problems. Math. Oper. Res. (1988) 13(2):295–310Link, Google Scholar
• Blocher J. D., Chand S. A forward branch-and-search algorithm and forecast horizon results for the changeover scheduling problem. Eur. J. Oper. Res. (1996) 91:456–470Crossref, Google Scholar
• Chand S., Morton E. A perfect planning horizon procedure for a deterministic cash balance problem. Management Sci. (1982) 28(6):652–669Link, Google Scholar
• Chand S., Morton E. Minimal forecast horizon procedures for dynamic lot size models. Naval Res. Logist. Quart. (1986) 33:111–121Crossref, Google Scholar
• Chand S., Sethi S. P. Planning horizon procedures for machine replacement models with several possible replacement alternatives. Naval Res. Logist. Quart. (1982) 29:483–493Crossref, Google Scholar
• Chand S., Hsu V. N., Sethi S. P. Forecast, solution, and rolling horizons in operations management problems: A classified bibliography. Manufacturing Service Oper. Management (2002) 4(1):25–43Link, Google Scholar
• Chand S., Sethi S. P., Proth J. M. Existence of forecast horizon in undiscounted discrete-time lot size models. Oper. Res. (1990) 38(5):884–892Link, Google Scholar
• Daskin M. S., Hopp W. J., Medina B. Forecast horizons and dynamic facility location planning. Ann. Oper. Res. (1992) 28:125–151Crossref, Google Scholar
• Dawande M., Gavirneni S., Naranpanwe S., Sethi S. P. Integer programs for computing minimal forecast horizons. J. Math. Model. Algorithms (2006) 5:239–258Crossref, Google Scholar
• Federgruen A., Tzur M. A simple forward algorithm to solve general dynamic lot sizing models with n periods in O(n log n) or O(n) time. Management Sci. (1991) 37(8):909–925Link, Google Scholar
• Federgruen A., Tzur M. Minimum forecast horizons and a new planning procedure for the general dynamic lot sizing model: Nervousness revisited. Oper. Res. (1994) 42(3):456–468Link, Google Scholar
• Federgruen A., Tzur M. Fast solution and detection of minimal forecast horizons in dynamic programs with a single indicator of the future: Applications to dynamic lot-sizing models. Management Sci. (1995) 41:874–893Link, Google Scholar
• Johnson R. E., McClain J. O. On further results on planning horizons in the production smoothing problem. Management Sci. (1978) 24:1774–1776Link, Google Scholar
• Kleindorfer P., Leiber Z. Algorithms and planning horizon results for production planning problems with separable costs. Oper. Res. (1979) 27:875–887Link, Google Scholar
• Lundin R. A., Morton E. Planning horizon for the dynamic lot size model: Zabel vs. protective procedures and computational results. Oper. Res. (1975) 23(4):711–734Link, Google Scholar
• Morton T. E. Forward algorithms for forward thinking managers. Applications of Management Science (1981) 1(JAI Press, Greenwich, CT) 1–55Google Scholar
• Nair S. K., Hopp W. J. A model for equipment replacement due to technological obsolescence. Eur. J. Oper. Res. (1992) 63:207–221Crossref, Google Scholar
• Nemhauser G. L., Savelsbergh M. W. P., Sigismondi G. S. MINTO, a Mixed INTeger Optimizer. Oper. Res. Lett. (1994) 15:47–58Crossref, Google Scholar
• Rajagopalan S. Deterministic capacity expansion under deterioration. Management Sci. (1992) 38:525–539Link, Google Scholar
• Rajagopalan S. Capacity expansion with alternative technology choice. Eur. J. Oper. Res. (1994) 77:392–403Crossref, Google Scholar
• Rempala R. Forecast horizons in nonstationary Markov decision problems. Optimization (1989) 20:853–857Crossref, Google Scholar
• Sethi S. A note on a planning horizon model of cash management. J. Financial Quant. Anal. (1971) 6:659–665Crossref, Google Scholar
• Sethi S. P., Bhaskaran S. Conditions for existence of decision horizons for discounted problems in a stochastic environment: A note. Oper. Res. Lett. (1985) 4(2):61–64Crossref, Google Scholar
• Sethi S. P., Sorger G. A theory of rolling horizon decision making. Ann. Oper. Res. (1991) 29:387–416Crossref, Google Scholar
• Wagner H. M. Comments on “Dynamic version of the economic lot size model”. Management Sci. (2004) 50(12):1775–1777Link, Google Scholar
• Wagner H. M., Whitin T. M. Dynamic version of the economic lot size model. Management Sci. (1958) 5(1):89–96Link, Google Scholar