A continuous covering location model with risk consideration

作者：Hosseininezhad Seyed Javad^*; Jabalameli Mohammad Saeed; Naini Seyed Gholamreza Jalali

来源：Applied Mathematical Modelling, 2013, 37(23): 9665-9676.

DOI：10.1016/j.apm.2013.05.022

• Continuous covering location problem
• Fixed cost
• Risk management
• Fuzzy set theory
• RSM

This paper proposes a continuous covering location model with risk consideration. The investigated model is an extension of the discrete covering location models in continuous space. The objective function consists of installation and risk costs. Because of uncertain covering radius, customer satisfaction degree of covering radius is introduced by fuzzy concept. Since, the uncertainty may cause risk of uncovering customers; the risk cost is added to the objective function. The installation cost is assigned to a zone with a predetermined radius from its center. The model is solved by a fuzzy method named a-cut. After solving the model based on different a-values, the zones with the largest possibilities are determined for locating new facilities and the best locations are calculated based on the obtained possibilities. Then, the model is solved to determine the best covering values. This paper, also introduces a risk analysis method based on Response Surface Methodology (RSM) to consider risk management in the location models. Finally, a numerical example is expressed to illustrate the proposed model.

• 出版日期2013-12-1