# Disaster Response Project Scheduling Problem: A Resolution Method based on a Game-Theoretical Model

## Authors

• í“scar C. Ví¡squez 1. Department of Industrial Engineering, University of Santiago of Chile 3769 Ecuador Avenue. Santiago, Chile. 2. Computer Science Laboratory (LIP6), Pierre and Marie Curie University 4, Place Jussieu, Paris, France.
• Juan M. Sepulveda Department of Industrial Engineering, University of Santiago of Chile 3769 Ecuador Avenue, Santiago, Chile.
• Miguel D. Alfaro Department of Industrial Engineering, University of Santiago of Chile 3769 Ecuador Avenue, Santiago, Chile.
• Luis Osorio-Valenzuela Department of Electrical Engineering, University of Santiago of Chile 3519, Ecuador Avenue, Santiago, Chile.

## Keywords:

Disaster response, project scheduling problem, resolution method, gametheoretical model.

## Abstract

We present a particular disaster response project scheduling problem (DRPSP) motivated by Fukushima’s nuclear accident of Japan in 2011. We describe the problem as MPS;R,N|prec, dn|Pckf(rk(S)) by using Hartmann and Briskornscheme and formulate a mixed integer linear programming (MILP) model. Due to the NP-hardness of the problem, we propose a resolution method based on game theory.This method associates the DRPSP to a non-cooperative game model, such thatgame solution is a feasible solution of the problem. In order to explore the potentialof the proposed model and the performance of the resolution method, computationalexperiments are carried out. The results of resolution method show on average, thatthe method finds a feasible solution with a difference of 15.44% with respect to optimalsolution within one percent of the time required by the MILP over GAMS22.7.2/CPLEX 11.0.

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2013-02-18

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