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A Specific M|G|∞ Queue System Busy Period and Busy Cycle Distributions and Parameters

2022/11/06 by Manuel Ferreira, Ferreira, Manuel Alberto M.
Business, Management and Accounting · Decision Sciences · Engineering · #Advanced Queuing Theory Analysis #FOS: Mathematics #Probability (math.PR) #Reliability and Maintenance Optimization #Simulation Techniques and Applications

paper · pdf · doi:10.48550/arxiv.2211.04447

openalex publication_date 2022/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Solving a Riccati equation, induced by the study of the transient behaviour of the MGInf queue system, a collection of service times distributions is determined. For the MGInf queue, which service time distribution is a member of that collection, the busy period and busy cycle probabilistic studies are performed. In extra, the properties of that distributions collection are deduced and presented.

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