منابع مشابه
Solving the Multiple Competitive Facilities Location and Design Problem on the Plane
A continuous location problem in which a firm wants to set up two or more new facilities in a competitive environment is considered. Other facilities offering the same product or service already exist in the area. Both the locations and the qualities of the new facilities are to be found so as to maximize the profit obtained by the firm. This is a global optimization problem, with many local op...
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In this paper, there are two competitors in a planar market. The first competitor, called, the leader, opens new facilities. After that, the second competitor, the follower, reacts to the leader’s action and opens r new facilities. The leader and the follower have got some facilities in advance in this market. The optimal locations for leader and follower are chosen among predefined candida...
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We analyze Hotelling’s duopoly model on the plane. There are two players (firms) located in different points inside a circle and the customers are distributed with some density in it. The solution of two game-theoretic problems is derived. The first problem is to find the equilibrium prices for the homogeneous goods, and the second problem is to find the equilibrium allocation of the players in...
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This paper addresses the problem of locating a finite number of sensors to detect an event in a given planar region. The objective is to minimize the maximum probability of non-detection where the underlying region consists of a convex polygon. The sensor location problem has a multitude of applications, including the location of aircraft detection sensors, the placement of sentries along a bor...
متن کاملCollection depot location problem in the plane
In this paper we consider an extension of the classical facility location problem where besides n customers, a set of p collection depots are also given. In this setting the service of a customer consists of the travel of a server to the customer and return back to the center via a collection depot. We have analyzed the problem and showed that the collection depots problem can be transformed to...
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ژورنال
عنوان ژورنال: Annals of Operations Research
سال: 1992
ISSN: 0254-5330,1572-9338
DOI: 10.1007/bf02060476