Analysis of a finite MAP/\(G\)/1 queue with group services

DOI10.1007/BF01149262zbMath0772.60072MaRDI QIDQ2368085

Yanyan Li

Publication date: 22 August 1993

Published in: Queueing Systems (Search for Journal in Brave)

zbMATH Keywords

Laplace-Stieltjes transformMarkov renewal processqueueing modelsystem performance measuressteady-state queue length densities

Mathematics Subject Classification ID

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

Related Items (19)

Analysis of \(\mathrm{BMAP}/\mathrm{MSP}/1\) queue ⋮ Algorithm for computing the queue length distribution at various time epochs in \(\mathrm{DMAP}/G^{(1, a, b)}/1/n\) queue with batch-size-dependent service time ⋮ Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service ⋮ Analyzing the finite buffer batch arrival queue under Markovian service process: \(\mathrm{GI}^X /\mathrm{MSP}/1/\mathrm{N}\) ⋮ On the finite buffer queue with renewal input and batch Markovian service process: \(\mathrm{GI}/\mathrm{BMSP}/1/N\) ⋮ Unnamed Item ⋮ Analysis of a retrial queuing model with MAP arrivals and two types of customers. ⋮ Computational analysis of bulk service queue with Markovian arrival process: MAP/R\(^{(a,b)}/1\) queue ⋮ Analysis of a finite buffer variable batch service queue with batch Markovian arrival process and server's vacation ⋮ Computing queue length distributions in MAP/G/1/N queue under single and multiple vacation ⋮ Analyzing state-dependent arrival in \(GI/\mathrm{BMSP}/1/\infty \) queues ⋮ Optimal bulking threshold of batch service queues ⋮ On bulk-service MAP/PH\(^{L,N}\)/1/N G-queues with repeated attempts ⋮ Markov Chains with Hybrid Repeating Rows - Upper-Hessenberg, Quasi-Toeplitz Structure of the Block Transition Probability Matrix ⋮ Finite-Buffer Bulk Service Queue Under Markovian Service Process:GI/MSP^(a,b)/1/N ⋮ On the optimal control of loss probability and profit in a \(GI /C\)-\(BMSP /1/N\) queueing system ⋮ A simple analysis of system characteristics in the batch service queue with infinite-buffer and Markovian service process using the roots method:GI/C-MSP^(a,b)/1/∞ ⋮ Analysis of a queueing model with batch Markovian arrival process and general distribution for group clearance ⋮ The queue length distributions in the finite buffer bulk-service MAP/G/1 queue with multiple vacations

Cites Work

• Opsearch
• New results on the single server queue with a batch markovian arrival process
• A versatile Markovian point process
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