Analysis of BMAP/MSP/1 queue with MAP generated negative customers and disasters

DOI10.1080/03610926.2021.1990953OpenAlexW3208765657MaRDI QIDQ6107613

U. C. Gupta, Nitin Kumar

Publication date: 3 July 2023

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2021.1990953

zbMATH Keywords

negative customersbatch Markovian arrival processdisasterMarkovian service processG-queuevector generating function

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (1)

Detailed analytical and computational studies of \(D-BMAP/D-BMSP1\) queueing system

Cites Work

• Unnamed Item
• Analysis of \(\mathrm{BMAP}/\mathrm{MSP}/1\) queue
• Queues with interruptions: a survey
• Transient analysis of a two-heterogeneous servers queue with system disaster, server repair and customers' impatience
• Strong stability of the embedded Markov chain in an \(GI/M/1\) queue with negative customers
• A continuous-time Ehrenfest model with catastrophes and its jump-diffusion approximation
• A \(GI/Geo/1\) queue with negative and positive customers
• A single server priority queue with server failures and queue flushing
• A continuous-time Markov chain under the influence of a regulating point process and applications in stochastic models with catastrophes
• Transient solution of an M/M/1 queue with catastrophes
• Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks
• Batch renewal arrival process subject to geometric catastrophes
• An optimal threshold control for a \(BMAP/SM/1\) system with map disaster flow
• Markov chains with marked transitions
• The discrete-time \(Geo/Geo/1\) queue with negative customers and disasters
• Analysis of batch Bernoulli process subject to discrete-time renewal generated binomial catastrophes
• A renewal generated geometric catastrophe model with discrete-time Markovian arrival process
• Unified killing mechanism in a single server queue with renewal input
• Transient solution of a Markovian queuing model with heterogeneous servers and catastrophes
• A disaster queue with Markovian arrivals and impatient customers
• Performance analysis of discrete-time queue GI/G/1 with negative arrivals
• A Pollaczek–Khintchine formula for M/G/1 queues with disasters
• Analysis of the GI/Geo/1 Queue with Disasters
• The Geo/G/1 Queue with Negative Customers and Disasters
• A versatile Markovian point process
• The N/G/1 queue and its detailed analysis
• Sufficient conditions for regularity, recurrence and ergodicity of Markov processes
• Sojourn times in single-server queues by negative customers
• TheM/M/1 queue with mass exodus and mass arrivals when empty
• A note on the GI/M/1 queue with Poisson negative arrivals
• BMAP/SM/1 queue with Markovian input of disasters and non-instantaneous recovery
• A stable algorithm for stationary distribution calculation for a BMAP/SM/1 queueing system with Markovian arrival input of disasters
• Spectral analysis of M/G/1 and G/M/1 type Markov chains
• The M/G/1 queue with negative customers
• A BMAP/SM/1 queueing system with Markovian arrival input of disasters
• Double-sided queues with marked Markovian arrival processes and abandonment
• A Queueing System with Batch Renewal Input and Negative Arrivals
• Analysis of a population model with batch Markovian arrivals influenced by Markov arrival geometric catastrophes
• Analysis of a geometric catastrophe model with discrete-time batch renewal arrival process
• Optimal control for a BMAP/SM/1 queue with MAP-input of disasters and two operation modes
• Clearing models for \(M/G/1\) queues

This page was built for publication: Analysis of BMAP/MSP/1 queue with MAP generated negative customers and disasters