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Applied Probability And Queues

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TLDR
In this paper, a simple Markovian model for queueing theory at the Markovians level is proposed, which is based on the theory of random walks and single server queueing.
Abstract
Preface SIMPLE MARKOVIAN MODELS: Markov Chains Markov Jump Processes Queueing Theory at the Markovian Level BASIC MATHEMATICAL TOOLS: Basic Renewal Theory Regenerative Processes Further Topics in Renewal Theory and Regenerative Processes Random Walks SPECIAL MODELS AND METHODS: Steady-state Properties of GI/G/1 Explicit Examples in the Theory of Random Walks and Single Server Queues Multi-Dimensional Methods Many-server Queues Conjugate Processes Insurance Risk, Dam and Storage Models Selected Background and Notation.

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