This paper presents a single facility location problem in the presence of a probabilistic line barrier. The aim of this problem is to minimize bi-objectives, namely the total expected barrier distance and the maximum expected barrier distance from each demand point to the new facility point. Based on our best knowledge, there is no such a mathematical model to present this problem in the litera...

We consider a competitive facility location game on a network in which consumers who are located on the vertices wish to connect to the nearest facility. Knowing this, each competitor locates a facility on a vertex, trying to capture the largest-possible market share. Focusing in the two-player case, we study conditions that guarantee the existence of a pure-strategy Nash equilibrium in this fi...

Abstract We study competitive location problems in a continuous setting, which facilities have to be placed rectangular domain R of normalized dimensions 1 and $$\rho \ge 1$$ ρ ≥ 1 , distances are measured according the Manhattan metric. show that famil...

We consider the competitive facility location problem in which two competing sides (the Leader and the Follower) open in succession their facilities, and each consumer chooses one of the open facilities basing on its own preferences. The problem amounts to choosing the Leader’s facility locations so that to obtain maximal profit taking into account the subsequent facility location by the Follow...

A stochastic search algorithm for local multi-objective optimization is developed and applied to solve a multi-objective competitive facility problem for firm expansion using shared-memory parallel computing systems. The performance of the developed algorithm is experimentally investigated by solving competitive facility location problems, using up to 16 shared-memory processing units. It is sh...

This paper presents one comprehensive modelling approach for maintenance scheduling problem of thermal power units in competitive market. This problem is formulated as a 0/1 mixedinteger linear programming model. Model incorporates long-term bilateral contracts with defined profiles of power and price, and weekly forecasted market prices for market auction. The effectiveness of the proposed mod...