Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service

DOI10.1016/j.cor.2015.02.012zbMath1348.90193OpenAlexW2041096092MaRDI QIDQ337573

Mohammad Hasan, M. Dambrine

Publication date: 10 November 2016

Published in: Computers \& Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cor.2015.02.012

zbMATH Keywords

queueMarkovian arrival processalgorithmic probabilityphase type distributiongeneral bulk service rule

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (21)

Delay analysis of a two-class batch-service queue with class-dependent variable server capacity ⋮ A detailed note on the finite-buffer queueing system with correlated batch-arrivals and batch-size-/phase-dependent bulk-service ⋮ Analysis of a batch service queueing system associated with inventory transport ⋮ Analytical and computational studies of the BMAP/G(a,Y)/1 queue ⋮ On steady-state joint distribution of an infinite buffer batch service Poisson queue with single and multiple vacation ⋮ Discrete-time bulk queueing system with variable service capacity depending on previous service time ⋮ Stationary queue and server content distribution of a batch-size-dependent service queue with batch Markovian arrival process: BMAP/Gn(a,b)/1 ⋮ On the distribution of the number of consecutively lost customers in the \textit{BMAP}/\textit{PH}/1/\textit{N} system ⋮ System occupancy in a multiclass batch-service queueing system with limited variable service capacity ⋮ Unnamed Item ⋮ Analysis of a finite buffer variable batch service queue with batch Markovian arrival process and server's vacation ⋮ Fitting procedure for the two-state batch Markov modulated Poisson process ⋮ Analysis of an MAP/PH/1 queue with flexible group service ⋮ Optimal bulking threshold of batch service queues ⋮ Unnamed Item ⋮ Analysis of an infinite-buffer batch-size-dependent service queue with Markovian arrival process ⋮ Retrial queue with discipline of adaptive permanent pooling ⋮ Findings about the BMMPP for modeling dependent and simultaneous data in reliability and queueing systems ⋮ Tail asymptotics for a state-dependent bulk matching queueing system with impatient customers ⋮ Efficient computational analysis of non-exhaustive service vacation queues: \(BMAP/R/1/N(\infty)\) under gated-limited discipline ⋮ Analysis of a queueing model with batch Markovian arrival process and general distribution for group clearance

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the finite buffer queue with renewal input and batch Markovian service process: \(\mathrm{GI}/\mathrm{BMSP}/1/N\)
• Tail probabilities of the delay in a batch-service queueing model with batch-size dependent service times and a timer mechanism
• Analytic and numerical aspects of batch service queues with single vacation
• BMAP/G/1/N queue with vacations and limited service discipline
• Discrete-time bulk-service queues with accessible and non-accessible batches
• A queueing model for general group screening policies and dynamic item arrivals
• Analysis of the \(MAP/G^{(a,b)}/1/N\) queue with multiple vacations
• Modelling and analysis of \(M/G^{a,b}/1/N\) queue -- A simple alternative approach
• Performance analysis of a batch service queue arising out of manufacturing system modelling
• A finite capacity queue with Markovian arrivals and two servers with group services
• Optimization in HIV screening problems
• Tail distribution of the delay in a general batch-service queueing model
• A discrete single server queue with Markovian arrivals and phase type group services
• Analysis of a finite MAP/\(G\)/1 queue with group services
• Applications of bulk queues to group testing models with incomplete identification
• Analysis of finite-buffer state-dependent bulk queues
• Computing queue length distributions in MAP/G/1/N queue under single and multiple vacation
• Steady state analysis of a bulk queue with multiple vacations, setup times with \(N\)-policy and closedown times
• On bulk-service MAP/PH\(^{L,N}\)/1/N G-queues with repeated attempts
• The queue length distributions in the finite buffer bulk-service MAP/G/1 queue with multiple vacations
• New results on the single server queue with a batch markovian arrival process
• A single-server queue with server vacations and a class of non-renewal arrival processes
• Finite-Buffer Bulk Service Queue Under Markovian Service Process:GI/MSP^(a,b)/1/N
• An M/M/1 queue with a general bulk service rule
• The Bulk Service Queue with a General Control Strategy: Theoretical Analysis and a New Computational Procedure
• Arrival and departure state distributions in the general bulk-service queue
• A Finite Capacity Queue with Nonrenewal Input and Exponential Dynamic Group Services
• Analysis of a finite-buffer bulk-service queue with discrete-Markovian arrival process: D-MAP/Ga,b/1/N
• Multi‐server Batch‐service Systems
• A BULK SERVICE GI/M/1 QUEUE WITH SERVICE RATES DEPENDING ON SERVICE BATCH SIZE
• A General Class of Bulk Queues with Poisson Input
• Analysis of the MAP/G\(^{a,b}\)/1/N queue
• A Simple and Extended Computational Analysis of M/G_j^(a,b)/1 and M/G_j^(a,b)/1/(B + b) Queues Using Roots

This page was built for publication: Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service