Matrix-Analytic Methods in Stochastic Models

Map Chain Process Matrix analytic methods Type Laplace transforms Distribution function Distributed Laplace Markov Markov chain Solution Phase Queueing Systems Minimal Markov renewal processes Lst Arrival Process Busy Cycle Busy Period Distribution Embedded Markov Chain nonnegative Minimal Non-negative Solution Minimal Nonnegative Solution Phase Type Structure Positive Recurrent Matrix Geometric Solution Matrix Exponential Distribution Service Time Distributions Stationary Queue Length Distribu Tion Phase Type Approximations Virtual Waiting Time Steady State Probability Total Execution Time