具有距离依赖需求的设施选址问题

A FACILITY LOCATION PROBLEM WITH DISTANCE‐DEPENDENT DEMAND

DECISION SCIENCES · 1981
被引 13
人大 AABS 3

中文导读

研究了设施需求随距离增加而指数衰减的网络系统,提出了基于期望需求和需求方差两种绩效指标的选址方法,并给出求解最小/最大期望需求位置及满足给定期望需求水平位置的步骤。

Abstract

This paper examines network systems where demand for the services of a facility originates at the nodes of the network and its magnitude depends on the shortest distance to a service‐providing facility. Service systems with such features include bank branches, fastfood outlets, and grocery stores. With the assumption that demand is a Poisson‐distributed random variable whose mean is an exponentially decreasing function of distance, possible locations based on two important performance measures are characterized: the expected value and the variance of the demand. Two procedures are proposed: one to find the locations with the minimum and maximum expected demand and the other to find the location(s) that provide a given level of expected demand. The procedures are illustrated by two examples.

设施选址运筹学服务系统需求建模