arXiv subjects

Mehdi Zaferanieh

Publications and source records attributed to Mehdi Zaferanieh.

2 recordsLinked to original sources

arXiv2018

The balanced 2-median and 2-maxian problems on a tree

This paper deals with the facility location problems with balancing on allocation clients to servers. Two bi-objective models are considered, in which one objective is the traditional p-median or p-maxian objective and the second is to minimize the maximum demand volume allocated to any facility. An edge deletion method with time complexity O(n^2) is presented for the balanced $2$-median problem on a tree. For the balanced 2-maxian problem, it is shown the optimal solution is two end vertices of the diameter of the tree, which can be obtained in a linear time.

math.OC↗

arXiv2017

The stochastic queue core problem on a tree

In this paper, an stochastic queue core problem on a tree, which seeks to find a core in an M/G/1 operating environment is investigated. Let T = (V,E) be a tree, an stochastic queue core of T is assumed to be a path P, for which the summation of the weighted distances from all vertices to the path as well as the average response time on the path is minimized. Some general properties of the stochastic queue core problem on the tree are presented, while an algorithm with $max\{o(n^2l), o(n^2log^2(n))\}$ is provided to find the queue l-core on the tree.

math.OC↗