In this paper we consider the inverse and reverse network facility location problems with considering the equity on servers. The inverse facility location with equality measure deals with modifying the weights of vertices with minimum cost, such that the difference between the maximum and minimum weights of clients allocated to the given facilities is minimized. On the other hand, the reverse c...

Under study is the problem of locating facilities when two competing companies successively open their facilities. Each client chooses an open facility according to his own preferences and return interests to the leader firm or to the follower firm. The problem is to locate the leader firm so as to realize the maximum profit (gain) subject to the responses of the follower company and the availa...

مکان‌یابی با درنظرگرفتن موضوع رقابت در بازار، یک تصمیم راهبردی و بلندمدت محسوب می­‌شود. چنانچه انتخاب مکان، بررسی‌­های لازم صورت نگیرد، حیات سازمان تحت تأثیر قرار می‌­گیرد. به‌­دلیل وجود پیچیدگی‌­های موجود مسائل مکان‌یابی، ارائه مدل‌های محدودیت­‌های متنوعی مواجه است. هدف این پژوهش، توسعه مدل رقابتی درنظر­گرفتن دو محصول از سوی سه رقیب است؛ برای منظور، مسئله به‌­صورت بازی مکان ـ قیمت تعریف استفاد...

in this paper we study finding the $(k,l)$-core problem on a tree which the vertices have positive or negative weights. let $t=(v,e)$ be a tree. the $(k,l)$-core of $t$ is a subtree with at most $k$ leaves and with a diameter of at most $l$ which the sum of the weighted distances from all vertices to this subtree is minimized. we show that, when the sum of the weights of vertices is negative, t...

Most companies operate to maximize profits and increase their market shares in competitive environments. Since the proper location of facilities conditions profits, facility problem (CFLP) has been extensively applied literature. This generally falls within class NP-hard problems, which are difficult solve. Therefore, choosing a solution method optimize is key factor. Even though CFLPs have con...

Network location models comprise one of the main categories of location models. These models have various applications in regional and urban planning as well as in transportation, distribution, and energy management. In a network location problem, nodes represent demand points and candidate locations to locate the facilities. If the links network is unchangeably determined, the problem will be ...