A survey on models and algorithms for discrete evacuation planning network problems

Tanka Nath Dhamala

doi:10.3934/jimo.2015.11.265

Article Contents

2015, Volume 11, Issue 1: 265-289. Doi: 10.3934/jimo.2015.11.265

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A survey on models and algorithms for discrete evacuation planning network problems

Tanka Nath Dhamala^1,

1.
Central Departments of Mathematics/CSIT, IOST, Tribhuvan University, Kathmandu

Received: May 2013

Revised: January 2014

Published: January 2015

Abstract / Introduction Related Papers Cited by

Abstract

With an increasing number of large-scale natural and man-created disasters over the last decade, there is growing focus on the application of operations research techniques for humanitarian relief in the emerging field of emergency evacuation. Even though a large diversity of models have been developed, many rely on solving network-flow problems on appropriate graphs. In this survey, we give a systematic collection of network flow models used in emergency evacuation and their applications. We especially focus on results interrelating these models. Considered models include max flows and min cost flows, lexicographic flows, quickest flows, and earliest arrival flows, as well as contraflows and time-dependent problems.

Keywords:

Mathematics Subject Classification: Primary: 90B10, 90C27, 68Q25; Secondary: 90B06, 90B20.

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