×

zbMATH — the first resource for mathematics

Group technology in production management: The short horizon planning level. (English) Zbl 0583.90044
Numerical algorithms are proposed for optimal partitioning of a set of tasks into production subsystems under the following conditions:
(1) the number of production subsystems equals the number of part families, where a set of part types is partitioned into subsets called part families, (2) one and only one production subsystem corresponds to each part family, (3) one and only one part family corresponds to each production subsystem, and (4) these partitions minimize the number of tasks performed in production subsystems.
An example is worked out in some detail to show the efficiency of the algorithms, which depend however for its speed on the choice of the distance function chosen to be minimized.
Reviewer: J.K.Sengupta

MSC:
90B30 Production models
90B35 Deterministic scheduling theory in operations research
62H30 Classification and discrimination; cluster analysis (statistical aspects)
62P20 Applications of statistics to economics
65C99 Probabilistic methods, stochastic differential equations
PDF BibTeX XML Cite
Full Text: DOI Link
References:
[1] Cluster Analysis for Applications, Academic Press, New York, 1973. · Zbl 0299.62029
[2] and , Group Technology, Butterworth, London, 1973.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.