Efficient ‎M‎edian and Center Problems: a Bi-Objective Mixed Integer Programming Approach

Subject Areas : International Journal of Industrial Mathematics

طاهره سیار ¹ (Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran.)
جعفر فتحلی ² (Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran.)
مجتبی غیاثی ³ (Faculty of Industrial Engineering and Management Sciences, Shahrood University of Technology, Shahrood, Iran.)

Received: 2019-03-14 Accepted : 2021-07-15 Published : 2021-07-01

Keywords: Median problem, Center problem, Efficiency, Data envelopment ‎analysis,

Abstract :

This paper proposes a novel problem on the efficiency in the location problem. We consider the problem of finding optimal location of an efficient facility in the plane. This yields to a novel combination of the location problem and efficiency measurement. We describe the difference between our model and the principle existing models in the literature. We then present a bi-objective programming models for the efficient median and center problems.

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