A Simple and Complete Solution to the Stationary Queue-Length Probabilities of a Bulk-Arrival Bulk-Service Queue

DOI10.3138/infor.47.4.283MaRDI QIDQ6160219

Unnamed Author, Mohan L. Chaudhry

Publication date: 9 May 2023

Published in: INFOR: Information Systems and Operational Research (Search for Journal in Brave)

zbMATH Keywords

queueing theorylevel crossingqueue-lengthoperations researchbulk queuesroots method

Mathematics Subject Classification ID

Operations research, mathematical programming (90-XX)

Related Items (4)

An approximation of general multi-server queues with bulk arrivals and batch service ⋮ A difference equation approach for analysing a batch service queue with the batch renewal arrival process ⋮ Discrete-time queue with batch renewal input and random serving capacity rule: \(GI^X/ Geo^Y/1\) ⋮ A discrete-time \(\mathrm{GI}^X/\mathrm{Geo}^Y/1\) queue with early arrival system

Cites Work

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• On the finite buffer queue with renewal input and batch Markovian service process: \(\mathrm{GI}/\mathrm{BMSP}/1/N\)
• A note on some relations in the queue \(GI^ X/M/c\)
• On exact computational analysis of distributions of numbers in systems for \(M/G/1/N+1\) and \(GI/M/1/N+1\) queues using roots
• Applications of bulk queues to group testing models with incomplete identification
• Analysis, Design, and Control of Queueing Systems
• Arrival and departure state distributions in the general bulk-service queue
• On the Stationary Distribution of theGI^X/M^Y/1 Queueing System
• On the Class of Erlang Mixtures with Risk Theoretic Applications
• On a general class of renewal risk process: analysis of the Gerber-Shiu function

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