The minimax and maximin location problems on a network with uniform distributed weights

In this paper we consider the weighted minimax and maximin location problems on the network when the weights are drawn from a uniform distribution. In the minimax (maximin) problem with stochastic demand the probability that the maximum (minimum) weighted distance between the facility and demand points exceeding (falling short of) a given value T is minimized. Properties of the solution points for both problems are proven and algorithms are presented.