This paper proposes a new location problem of competitive facilities, e.g. shops and stores, with uncertain demands in the plain. By representing the demands for facilities as random variables, the location problem is formulated to a stochastic programming problem, and it is reformulated to three deterministic programming problems: expectation maximizing problem, probability maximizing problem,...

This paper proposes a new location problem of competitive facilities, e.g. shops and stores, with uncertain demands in the plane. By representing the demands for facilities as random variables, the location problem is formulated to a stochastic programming problem, and for finding its solution, three deterministic programming problems: expectation maximizing problem, probability maximizing prob...

The facility positioning problem concerns the location of facilities such as bus-stops, fire stations, schools, so as to optimize one or several objectives. This paper contributes to research on location problems by proposing a reactive multiagent approach. Particularly, we deal with the p-median problem, where the objective is to minimize the weighted distance between the demand points and the...

We analyze the polytope associated with a combinatorial problem that combines the Steiner tree problem and the uncapacitated facility location problem. The problem, called connected facility location problem, is motivated by a real-world application in the design of a telecommunication network, and concerns with deciding the facilities to open, the assignment of customers to open facilities, an...

This paper is concerned with solving GQAPs (generalized quadratic assignment problems) to optimality. In these problems, given M facilities and N locations, the facility space requirements, the location available space, the facility installation costs, the flows between facilities, and the distance costs between locations, one must assign each facility to exactly one location so that each locat...

The location of facilities anywhere in an area in which several competing facilities already exist and serving the demand points has been brought to light in this work. Because of the great importance of health care systems in the health of the people, these systems have been studied in the present paper. Creation and maintenance of competitive advantage in health care systems requires optimizi...

competitive facility location focus on locating facilities by considering the fact of competition in businesses, so every facilities try to reach their reachable shares through competition. reachable shares have an indirect relation with the distance of facilities to the customer and a direct relation with the attractiveness of the facility. attractiveness of any facility is depend on variety o...

This investigation is the stochastic version of our previous work in which it is required to find the locations of a number of new facilities in a prescribed circular area constraint around the centre of gravity of a given number of existing facilities where the weights considered in the objective function are the random variables with discrete probabilities and the distance between the facilit...

A p-facility location problems on a network N consist of locating p new facilities on N such that some function of distances among them and vertices of N is minimum. We consider a class of such problems where objective function is nondecreasing in distance. The median, the center and the centdian problems belong to this class. We prove that the optimal solution on the network and on the corresp...