MULTI-CLASS RESOURCE SHARING WITH BATCH ARRIVALS

DOI10.1017/S0269964818000323zbMath1502.68041OpenAlexW2890987161MaRDI QIDQ5056617

Paul Devadoss Ezhilchelvan, Isi Mitrani

Publication date: 8 December 2022

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0269964818000323

zbMATH Keywords

simulationqueueing theoryapplied probability

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30) Internet topics (68M11)

Uses Software

• MapReduce

Cites Work

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• A fixed point theorem for discontinuous functions
• Reversed processes, product forms and a non-product form
• On Quasi-Reversibility and Local Balance: An Alternative Derivation of the Product-Form Results
• Blocking in a shared resource environment with batched Poisson arrival processes
• Blocking probabilities in large circuit-switched networks
• Probabilistic Modelling
• Fixed point theorems for discontinuous functions and applications

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