Stationary Waiting Time Distributions in the GI/PH/1 Queue.
DELAWARE UNIV NEWARK APPLIED MATHEMATICS INST
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It is known that the stable GIPHi queue has an embedded Markov chain whose invariant probability vector is matrix-geometric with a rate matrix R. In terms of the matrix R, the stationary waiting time distributions at arrivals, at an arbitrary time point and until the customers departure may be evaluated by solving finite, highly structured systems of linear differential equations with constant coefficients. Asymptotic results, useful in truncating the computations, are also obtained. The queue is assumed to follow the first-come, first-served discipline. Author
- Statistics and Probability