Solving Temporary Housing Problem by Using Cooperative Grey Games after a Collapse of Sirte-Jufra Line

Abstract

This paper showed that the cooperative grey game theory can help us to establish a fair cost share among private organizations for supporting the temporary housing problem by using facility location games under uncertainty. Temporary accommodation may be a method that ought to get started before the tragedy happens, as a preventative pre-planning. Although they are temporary constructions, the housing buildings are among the most important parts to be built for emergencies, to contribute to the reconstruction and to recover better.The study was based on a default disaster in the Sirte-Jufra line in the middle of Libya. A number of emergency temporary houses are being built in the following three cities, Ajdabiya, Al-Marj, and Benghazi east of Sirte city as illustrated in Figure 1. Three companies were selected, two of them are locals and a third is foreign to distribute the emergency houses in a fair way among the three cities. For this purpose, we use the cooperative grey game theory to help us define a fair cost allocation among private organizations for supporting the housing problem by using facility location games under uncertainty.