Complementary generating functions for theMX/GI/1/kandGI/My/1/Kqueues and their application to the comparison of loss probabilities

DOI10.2307/3214551zbMath0718.60107OpenAlexW2328651684MaRDI QIDQ5750077

Masakiyo Miyazawa

Publication date: 1990

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214551

zbMATH Keywords

generating functionstationary distributiontraffic intensity

Mathematics Subject Classification ID

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

Related Items (11)

Simple analytical solutions for the , , and related queues ⋮ Optimal order for two servers in tandem ⋮ Stationary Blocking Probability in Multi-server Finite Queuing System with Ordered Entry and Poisson Arrivals ⋮ Statistical analysis of single-server loss queueing systems ⋮ The Effective Bandwidth Problem Revisited ⋮ Counterexamples for comparisons of queues with finite waiting rooms ⋮ Relationships in stationary jump processes with countable state space and their applications to queues ⋮ Takács' asymptotic theorem and its applications: a survey ⋮ The effect of service time variability on maximum queue lengths in M^X/G/1 queues ⋮ Loss Probability of a Burst Arrival Finite Queue with Synchronized Service ⋮ Equivalence relations in the approximations for the \(M/G/s/s+r\) queue.

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