Letter to the Editor—Queuing with Balking—A Simple Method to Study the Transient Behavior

Published Online:https://doi.org/10.1287/opre.14.2.329

We study the queuing system where every customer on arrival makes one of two possible decisions—to join the queue or to go away without taking service never to return. Assuming such a decision to be entirely governed by the queue size at the instant of customer arrival, we obtain the transient solutions for the queuing system M/M/1 using an approximate method. As an illustration of the method, some results of the computations are given.

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