Abstract
The multicommodity problem that will be introduced in this chapter is formulated as a mixed-integer model where the number of lanes are represented by integer variables. It incorporates the commodities vehicles of evacuees and buses. The two-staged heuristic approach solving the pattern-based formulation of the urban evacuation problem turns out to generate feasible solutions faster than the relaxation-based heuristic approach that solves the mixed-integer formulation of the urban evacuation problem. With the two-staged approach it is possible to generate feasible solutions of problem instances which cannot be solved with the relaxation based approach. The computational study comparing both approaches is restricted on one-way streets (see Sect. 6.3). But for the multicommodity problem, we want to allow two-way streets. One reason is that buses, which drive to assembly areas to pick up evacuees, travel opposite to the evacuation flow.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Bretschneider, S. (2012). A Multicommodity Urban Evacuation Problem. In: Mathematical Models for Evacuation Planning in Urban Areas. Lecture Notes in Economics and Mathematical Systems, vol 659. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28759-6_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-28759-6_7
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28758-9
Online ISBN: 978-3-642-28759-6
eBook Packages: Business and EconomicsBusiness and Management (R0)