Note—Patience is a Virtue in a Simple Model of Repetitively Joining a Queue
研究有限客户群体在单服务器排队系统中重复加入队列的均衡行为,发现存在部分客户即时重入而其他客户放弃的均衡,且当所有客户即时重入时,强制非即时到达率可改善所有人收益。
Each of n members of a finite customer population must weigh the rewards of service completion against the cost of waiting in a single exponential server queuing system. After completing service, a customer may re-enter the system. In attempting to maximize average return per unit time over an infinite horizon each customer must make a single decision, a choice of arrival rate which must then be used to determine the time until re-entry whenever the customer finishes being served. Equilibrium behavior in the resulting n person game is investigated. Equilibria exist involving a subset of the players who re-enter instantaneously after service while all others abstain from entry. In instances where all customers re-enter instantaneously, everyone could be made better off if it were possible to impose a non-instantaneous arrival rate.