A linear algorithm for bipartition of biconnected graphs
Information Processing Letters
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Earliest Arrival Flows with Multiple Sources
Mathematics of Operations Research
Evacuation of rectilinear polygons
COCOA'10 Proceedings of the 4th international conference on Combinatorial optimization and applications - Volume Part I
Evacuation of rectilinear polygons
COCOA'10 Proceedings of the 4th international conference on Combinatorial optimization and applications - Volume Part I
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We investigate the problem of creating fast evacuation plans for buildings that are modeled as grid polygons, possibly containing exponentially many cells. We study this problem in two contexts: the "confluent" context in which the routes to exits remain fixed over time, and the "non-confluent" context in which routes may change. Confluent evacuation plans are simpler to carry out, as they allocate contiguous regions to exits; non-confluent allocation can possibly create faster evacuation plans. We give results on the hardness of creating the evacuation plans and strongly polynomial algorithms for finding confluent evacuation plans when the building has two exits. We also give a pseudopolynomial time algorithm for non-confluent evacuation plans. Finally, we show that the worst-case bound between confluent and nonconfluent plans is 2 - O(1/k).