Abstract
The input into a queueing system can be viewed as a sequence of required service times together with the times at which these requests arrive, that is, a double sequence {(T n , σ n )} indexed by the set ℤ of relative integers, where σ n is the amount of service (in time units) needed by customer n, who arrives at time T n . If there are no batch arrivals, then T n < T n +1. Since we are interested in the stationary behavior of the system, the sequence of arrival times {T n } contains arbitrarily large negative times. By convention, the negative or null times of the arrival sequence will be indexed by negative or null relative integers, and the positive times by positive integers: ... < T −2 < T −1 < T 0 < 0 < T 1 < T 2 < ...
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Baccelli, F., Brémaud, P. (2003). The Palm Calculus of Point Processes. In: Elements of Queueing Theory. Applications of Mathematics, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11657-9_1
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