A Service System with Unfilled Requests Repeated
A Service System with Unfilled Requests Repeated
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DOI：
10.1287/opre.16.6.1126
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发表时间：
1968-12
期刊：
影响因子：
--
通讯作者：
J. Keilson;J. Cozzolino;H. Young
中科院分区：
文献类型：
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作者：
J. Keilson;J. Cozzolino;H. Young
本文的目的是分析一个排队系统的模型，在该模型中，顾客不能与服务器持续联系，而是必须打电话请求服务：如果服务器空闲，则立即处理下一个到达的请求；如果服务器空闲，则立即处理下一个请求。然而，如果服务器被占用，不满意的客户必须中断联系并稍后重新发起他的请求。因此，来自不满意客户池的重复服务请求会叠加在正常的首次尝试到达流上。该系统的特点是存在必须呼叫的单个操作员或信息源并且不保留忙信号的情况。本文计算了此类系统的几个特征量，假设一般的服务时间分布以及首次请求和重复请求到达之间的时间的不同指数分布。
The object of this paper is to analyze a model of a queuing system in which customers cannot be in continuous contact with the server, but must call in to request service: If the server is free, then the next request to arrive is served immediately; if the server is occupied, however, the unsatisfied customer must break contact and later re-initiate his request. Thus, repeat requests for service from the pool of unsatisfied customers are superimposed on the normal stream of arrivals of first attempts. This system is characteristic of situations in which there is a single operator or source of information that must be called and busy signals are not held. This paper calculates several characteristic quantities of such systems, assuming a general service-time distribution and different exponential distributions for the times between arrivals of first requests and repeat requests.