Abstract
A mixed zero-one programming model of an MRP lot-sizing problem whose lead times are dependent on lot sizes is considered. The algorithm is tested under different randomly generated parameter values and computerized results are presented.
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References
P. Afentakis and B. Gavish, Optimal lot-sizing algorithms for complex product structures, Operations Research 34(1986)237 - 249.
P. Afentakis, B. Gavish and U. Karmarkar, Computationally efficient optimal solutions to the lot-sizing problem in multistage assembly systems, Management Science 30(1984)222 -239.
J.D. Blackburn and R.A. Millen, Improved heuristics for multi-stage requirements planning systems, Management Science 28(1982)44 - 56.
M.L. Fisher, The Lagrangian relaxation method for solving integer programming problems, Management Science 27(1981)1 - 18.
M. Florian and M. Klein, Deterministic production planning with concave costs and capacity constraints, Management Science 18(1971)12 - 20.
E.T. Grasso and B.W. Taylor, A simulation-based experimental investigation of supplyytiming uncertainty in MRP systems, Int. J. Prod. Res. 22(1984)485- 497.
R. Jagannathan and M.R. Rao, A class of deterministic production planning problems, Management Science 19(1973)1295 - 1300.
S. Love, Bounded production and inventory models with piecewise concave costs, Management Science 20(1973)313 - 318.
B.J. McLaren, A study of multiple level lot sizing techniques for material requirements planning systems, unpublished Ph.D. Dissertation, Purdue University, 1976.
S. Nahmias, Production and Operations Analysis, 2nd ed., Irwin, Homewood, IL, 1993.
C. New, Requirements Planning, Gower Press, Essex, England, 1974.
J. Orlicky, Material Requirements Planning, McGraw-Hill, New York, 1971.
R. Roundy, Efficient, effective lot sizing for multistage production systems, Operations Research 41 (1993)371 - 385.
E.A. Silver and R. Peterson, Decision Systems for Inventory Management and Production Planning, 2nd ed., Wiley, 1985.
E. Steinberg and H.A. Napier, Optimal multi-level lot sizing for requirement planning systems, Management Science 26(1980)1258 - 1271.
H.M. Wagner and T.M. Whitin, Dynamic version of the economic lot size model, Management Science 5(1958)89 - 96.
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Jagannathan, R., Juang, L.S. Solution methods for material requirement planning with lot-size dependent lead times. Annals of Operations Research 76, 201–217 (1998). https://doi.org/10.1023/A:1018992404128
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DOI: https://doi.org/10.1023/A:1018992404128