一般排队系统中顾客等待时间的价值

The Value of the Customer's Waiting Time for General Queues*

DECISION SCIENCES · 2018
被引 12
人大 AABS 3

中文导读

提出了一种适用于所有排队系统的顾客等待时间价值度量方法,可补充或替代传统的服务器利用率与期望队列长度/等待时间的权衡曲线,帮助决策者更准确地反映目标。

Abstract

ABSTRACT We have developed a measure of the value of the customer's waiting time that is applicable to all queuing systems. Since the birth of the modern queuing theory over 100 years ago, this measure is the first addition to the list of the measures of performance of general queues that includes the servers’ utilization factor, the expected queue length, the expected waiting time, and some variations of the last two. The curves for trade‐offs between the servers’ utilization factor and the value of the customer's time can be used to supplement or replace the curves for trade‐offs between the servers’ utilization factor and the customer's expected queue length (or expected waiting time) that have been a fundamental part of the modern queuing theory. The decisions made with the value of the customer's waiting time will mirror the decision maker's goals more closely than the decisions made with the customer's expected queue length or expected waiting time that are surrogates for the value of the customer's waiting time. Although our definition of the value of the customer's time is deceptively simple, its implications can be significant and far reaching. It could change the way we pursue research in the queuing theory, the way we teach the queuing theory, and the way we design queuing systems in practice.

排队论运营管理服务系统设计运筹学