The study of Stackelberg equilibrium for post-disaster stockpiles distribution problem

Abstract

This study mainly focuses on modeling problems of post-disaster stockpiles demand from victims and formulates a bi-level mathematical programming model. The upper level presents stockpiles distributor's problem, and the objective is to maximize each requester's least satisfaction (the ratio of collected quantity to anticipated distribution quantity). Relatively, the lower level presents requester's problem, and the objective is to maximize requester's satisfaction. To verify the feasibility, this study also setup a scenario with 5 cases and numerical experiment solved by simplex method which can serve as a helpful reference for the distributor to dispatch post-disaster stockpiles.