Normal gating cyclic service with strict capacity

Normal gating cyclic service with strict capacity 

To determine the expected delivery time of an arbitrary order arriving in the [O.T) interval, we will consider the three parts separately, as we did in the previous model. Then the contribution of (1) to the expected delivery time, written as (1), is given by  

Using the results for E(l), E(2) and E(3), the expected delivery time for an arbitrary order, denoted by D, is given by  

The expression for /, which can be seen at the probability that the difference between two Poisson processes takes the value j, shows much resemblance with (3.2.9) and is given by Asmussen (1987)  

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