A Queueing Model with Finite Waiting Room and Blocking

Alan G. Konheim · Martin P. Reiser

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Advanced Queuing Theory Analysis Petri Nets in System Modeling Age of Information Optimization

Abstract

A two-stage queueing network with feedback and a finite intermediate waiting room is studied. The first-stage server is blocked whenever M requests are enqueued in the second stage. The analysis of this system under exponential assumptions is carried out. An algorithm to calculate the stationary state probabilities is given and some special cases are considered.

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1980Efficient Algorithmic Solutions to Exponential Tandem Queues with Blocking 1986A Variable Buffer-Size Model and Its Use in Analyzing Closed Queueing Networks with Blocking 1980Approximate analysis of exponential queueing systems with blocking 1989Approximate Analysis of Queues in Series with Phase-Type Service Times and Blocking 1978Finite Capacity Queuing Systems with Applications in Computer Modeling 2003Queueing networks with blocking 2000An analytical solution for a tandem queue with blocking 1998Spectral expansion solution for some finite capacity queues

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