Journal of Operational Research and Its Applications ( Applied Mathematics ) - Lahijan Azad University

Relief logistics is one of the most effective tools in the crisis management. Growing number of global disasters and crisis events in Iran in the last decade indicates the importance of relief logistics planning more than before. Facility location of the resources allocation is the basic instrument in relief logistics before, in, and after each crisis. In this paper, covering radius of facilities is considered as a discrete variable with a step function toward cost. The proposed maximal covering location model determines the place, type, and capacity of the relief facility that will be required. Uncertainty is involved in the problem as a limited scenario; meanwhile, the above model has been formulated with two aims: maximizing the coverage and minimizing the budget. Then the problem has been solved by the GAMS software, and the results have been investigated on real and random data. Moreover, the results of stable optimized model and random optimized model have been compared.