Abstract
The solution of scheduling and sequencing problems has in most cases proved to involve serious difficulties. Direct solution methods are available only for problems of very special structure — e.g., see [7] — and computational experience with recursive procedures has generally been quite disappointing. Dynmaic programming has been of very limited utility (e.g., see [4] and the comments of [8] on [2]). Branch and bound methods, although frequently proposed (e.g., see [1] and [6]), have generally not been efficient enough to provide a practical solution procedure.
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References
Agin, M., “Optimum Seeking with Branch and Bound”, Mgt.Sc., Vol. 13 (1966), B176–B185.
Butcher, W. S., Y.Y. Haimes, and W.A. Hall, “Dynamic Programming for the Optimal Sequencing of Water Supply Projects”, Water Resources Research, Vol. 5 (1969), pp. 1196–1204.
Hardy, G. H., J. E. Littlewood, and G. Bolya, Inequalities, Cambridge University Press, 1934.
Held, M. and R. M. Karp, “A Dynamic Programming Approach to Sequencing Problems”, Jour. Sec. Ind. and Appl. Math., Vol. 10, No. 1 (March, 1962), pp. 196–210.
Johnson, S.M., “Optimal Two and Three Stage Production Schedules with Setup Times Included”, Nav. Res. Log. Quart., Vol. 1, No. 1 (March, 1954), pp. 61–68.
Lawler, E. L. and D. E. Wood, “Branch and Bound Methods: A Survey”, Opns.Res., Vol. 14 (1966), pp. 669–719.
Rau, J. G., “Minimizing a Function of Permutations of n Integers”, Opns.Res., Vol. 19, No. 1 (Jan.-Feb., 1971), pp. 237–240.
Erlenketter, D., “The Sequencing of Expansion Projects”, Working Paper No. 166, Western Management Science Institute, UCLA, (Nov., 1970).
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© 1973 Springer-Verlag Berlin · Heidelberg
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Mitten, L.G., Tsou, C.A. (1973). Efficient Solution Procedures for Certain Scheduling and Sequencing Problems. In: Elmaghraby, S.E. (eds) Symposium on the Theory of Scheduling and Its Applications. Lecture Notes in Economics and Mathematical Systems, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80784-8_10
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DOI: https://doi.org/10.1007/978-3-642-80784-8_10
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