Selected Examples

State-Dependent Service

In many situations, the rate of service depends on the type of service being performed. For example, the time it takes for a teller to service a customer in a bank depends on the type of service requested. State-dependent service distributions are modeled similarly to the Markov-modulated Poisson arrivals. Consider the example shown in Figure 9.13, in which there are multiple classes of transactions to a single queue.

Figure 9.13: State Dependent Service

Figure 9.13 shows this model with the addition of a Modifier to set the exponential mean service time. When the transaction leaves the queue to begin service, it passes through a Trigger that sets the parameter for the service time as a function of the class of transaction that is to receive the service. In addition to the parameter, other models can change the shape of the service distribution.

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