Analysis of batch Bernoulli process subject to discrete-time renewal generated binomial catastrophes

DOI10.1007/s10479-019-03410-zzbMath1444.60082OpenAlexW2979600454MaRDI QIDQ2178311

U. C. Gupta, Nitin Kumar

Publication date: 11 May 2020

Published in: Annals of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10479-019-03410-z

zbMATH Keywords

stationary distributioncatastrophesdiscrete-time Markov chainsembedded Markov chainsbatch Bernoulli processbinomial catastrophesdiscrete time renewal process

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (3)

Analysis of BMAP/MSP/1 queue with MAP generated negative customers and disasters ⋮ Markovian arrival process subject to renewal generated binomial catastrophes ⋮ Computational and numerical investigation of the batch Markovian arrival process subject to renewal generated geometric catastrophes

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