Abstract
This paper deals with the network flow modeling of emergency evacuation problems in densely populated buildings or geographical areas. The underlying optimization model is a dynamic network flow model with side constraints. We propose a new dynamic basis partitioning procedure for the primal partitioning simplex algorithm. The proposed algorithm is used in solving very large size network flow problems with many side constraints. Our experimental results show that the proposed dynamic basis partitioning algorithm is up to 36 times more efficient than a regular basis partitioning algorithm on the problems encountered in solving emergency evacuation problems.
This research has been sponsored in part by the National Science Foundation, Grant No. CEE 8215437 and by the Florida Industry and High Technology Council.
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© 1992 Springer-Verlag Berlin Heidelberg
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Choi, W., Tüfekçi, S. (1992). Dynamic Basis Partitioning for Network Flows with Side Constraints. In: Akgül, M., Hamacher, H.W., Tüfekçi, S. (eds) Combinatorial Optimization. NATO ASI Series, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77489-8_8
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DOI: https://doi.org/10.1007/978-3-642-77489-8_8
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