Queues that involve waiting as a model for analyzing the possible delay have been studied for past several decades. The average total time spent in the system and the average total time spent in queue are two of the most fundamental quantities describing a queueing system's behavior. In addition, there are other important factors that will affect the delay as well. For example, the environment in which queue waiting occurs plays a fundamental role in a customer's perceived and/or actual cost of participating in that system. In this paper, we study a queueing model that takes the waiting environment into account. We present a very simple solution procedure to solve the steady-state probability in this model with the required measurement.
工業工程學刊,19(5),48-58 Journal of the Chinese Institute of Industrial Engineers,19(5),48-58