The busy periods of some queueing systems

DOI10.1016/0304-4149(94)00032-OzbMath0819.60084OpenAlexW1971740569WikidataQ56763939 ScholiaQ56763939MaRDI QIDQ1346153

Wolfgang Stadje

Publication date: 15 August 1995

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(94)00032-o

zbMATH Keywords

infinite capacity queuesdistributions of the number of customers served

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (4)

Non-coincidence probabilities and the time-dependent behavior of tandem queues with deterministic input. ⋮ A new formula for the busy period of a non-empty multiserver queueing system ⋮ Busy period analysis of the state dependent M/M/1/K queue ⋮ The busy period of an \(\mathrm{M}/\mathrm{M}/1\) queue with balking and reneging

Cites Work

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• The Probability Law of the Busy Period for Two Types of Queuing Processes
• Distributions of stopping times for poisson processes with linear boundaries
• Distribution of first-exit times for empirical counting and poisson processes with moving boundaries
• The busy period of the E_k/G/1 queue by finite waiting room
• A Direct Approach to the GI/G/1 Queueing System with Finite Capacity
• A derivation of the Borel distribution
• Rectangle Probabilities for Uniform Order statistics and the Probability That the Empirical Distribution Function Lies Between Two Distribution Functions
• Simple proofs of Steck's determinantal expressions for probabilities in the Kolmogorov and Smirnov tests
• A PROBLEM OF INTERFERENCE BETWEEN TWO QUEUES

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