Time Symmetry of Project Scheduling with Time Windows and Take-give Resources. Proceedings of the 4th Multidisciplinary International Scheduling Conference: Theory and Applications (MISTA 2009), 10-12 Aug 2009, Dublin, Ireland, pages 239-253, 2009.
Paper
The paper studies a real production scheduling problem with special resources called take-give resources. Such resources are needed from the beginning of an activity to the completion of another activity of the production process. The difference to other works is that we consider sequence dependent changeover time on take-give resources. We formulate this problem by integer linear programming and we suggest a heuristic problem solution. In the second part of the paper we discuss how to construct a schedule in backward time orientation and we formulate a time symmetry mapping. Consequently it is shown that the mapping is bijective and involutive. Finally, performance of the heuristic algorithm with the time symmetry mapping is evaluated on a set of lacquer production benchmarks.
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@INPROCEEDINGS{2009-239-253-P, author = {Z. Hanzalek and P. Sucha},
title = {Time Symmetry of Project Scheduling with Time Windows and Take-give Resources},
booktitle = {Proceedings of the 4th Multidisciplinary International Scheduling Conference: Theory and Applications (MISTA 2009), 10-12 Aug 2009, Dublin, Ireland},
year = {2009},
editor = {J. Blazewicz and M. Drozdowski and G. Kendall and B. McCollum},
pages = {239--253},
note = {Paper},
abstract = {The paper studies a real production scheduling problem with special resources called take-give resources. Such resources are needed from the beginning of an activity to the completion of another activity of the production process. The difference to other works is that we consider sequence dependent changeover time on take-give resources. We formulate this problem by integer linear programming and we suggest a heuristic problem solution. In the second part of the paper we discuss how to construct a schedule in backward time orientation and we formulate a time symmetry mapping. Consequently it is shown that the mapping is bijective and involutive. Finally, performance of the heuristic algorithm with the time symmetry mapping is evaluated on a set of lacquer production benchmarks.},
owner = {gxk},
timestamp = {2010.10.11},
webpdf = {2009-239-253-P.pdf} }