Semi-fair design of emergency service system with failing centers

This paper deals with the semi‐fair emergency system design problem with reliable and failing service centers, in which the request of equal accessibility is taken into account. Within this paper, we introduce a semi‐fair approach, which is based on the combination of so‐called min‐sum optimal design and the lexicographic min‐max optimal design. It follows the idea of replacing a portion of less preferred levels of the lexicographical min‐max optimization by one min‐sum optimization process. The radial formulation of the problem was used as a basic concept of solving technique. We study two possible approaches from the point of computational time necessary for the semi‐fair emergency system design and the price of fairness.