# Enumeration of Pareto Optima for a Bicriteria Evacuation Scheduling Problem

### Kaouthar Deghdak, Vincent T'kindt, Jean-Louis Bouquard

#### Abstract

In this paper, we consider a large-scale evacuation problem after an important disaster. We model the evacuation of a region from a set of collection points to a set of capacitated shelters with the help of buses, thus leading to scheduling the evacuation operations by buses (Bus Evacuation Problem, BEP). The goal is twofold; first, minimizing the total evacuation time needed to bring the resident out of the endangered region, and secondly, minimizing the total exposure to danger. The resulting problem is a bicriteria problem. We propose a time-indexed formulation, as well as several approaches for finding both upper and lower bounds for BEP used within a branch and bound algorithm. In computational experiments, we analyse and evaluate the efficiency of the proposed solution algorithms.

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#### Paper Citation

#### in Harvard Style

Deghdak K., T'kindt V. and Bouquard J. (2015). **Enumeration of Pareto Optima for a Bicriteria Evacuation Scheduling Problem** . In *Proceedings of the International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,* ISBN 978-989-758-075-8, pages 162-171. DOI: 10.5220/0005221201620171

#### in Bibtex Style

@conference{icores15,

author={Kaouthar Deghdak and Vincent T'kindt and Jean-Louis Bouquard},

title={Enumeration of Pareto Optima for a Bicriteria Evacuation Scheduling Problem},

booktitle={Proceedings of the International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},

year={2015},

pages={162-171},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005221201620171},

isbn={978-989-758-075-8},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,

TI - Enumeration of Pareto Optima for a Bicriteria Evacuation Scheduling Problem

SN - 978-989-758-075-8

AU - Deghdak K.

AU - T'kindt V.

AU - Bouquard J.

PY - 2015

SP - 162

EP - 171

DO - 10.5220/0005221201620171