학술논문

A nonlinear programming model for a multi-facility location problem with a probabilistic line barrier
Document Type
Conference
Source
2010 IEEE 17Th International Conference on Industrial Engineering and Engineering Management Industrial Engineering and Engineering Management (IE&EM), 2010 IEEE 17Th International Conference on. :630-634 Oct, 2010
Subject
Computing and Processing
Communication, Networking and Broadcast Technologies
Probabilistic logic
Europe
Mathematical model
Equations
Euclidean distance
Distribution functions
Multi-Facility Location Problem
MINLP
Probabilistic Line Barrier
Global Optimum
Language
Abstract
In this paper, a Mixed-integer non linear programming (MINLP) model for a multi-facility location problem in the presence of a probabilistic line barrier is presented in which the starting point of the line barrier uniformly distributed. It is supposed that the distances metric is rectilinear. The objective function minimizes the summation of the weighted expected rectilinear barrier distances between the n new facilities and the m existing facilities and also between the new facilities. To show the applicability of the model, a numerical example is provided. It is worth noting that the global optimal solution is found.