Progress with single-item lot-sizing

Article Abstract:

The historical development of solutions to the single-item, uncapacitated lot-sizing problem (ULS) since 1958 is discussed. The research literature is divided into three time periods, namely, 1958-1975, 1975-1990 and 1990 to present work. It is shown that for the period 1990-present, changes to the original dynamic programming algorithm have enabled its solution in O(n log n) time and in O(n) through the incorporation of a Wagner-Whitin cost structure.

Operations research, Management science, History

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Optimal lot streaming for multiple products in a two-machine flow shop

Article Abstract:

The optimal lot streaming problem is considered as a two-machine flow shop with job setup times and sublot transfer times. Independent transfer lot sizing problems are obtained for each job when production lots are not preempted. On the other hand, closed-form optimal solutions are obtained for continuous transfer lot sizes. Examples are used to illustrate each of the procedures.

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The two-group heuristic to solve the multi-product, economic lot sizing and scheduling problem in flow shops

Article Abstract:

Research is presented describing the development of a nonlinear programming application to measure flow shop scheduling and economic lot sizing problems where there is more than one product.

Usage, Sequential analysis, Nonlinear programming

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