Analysis of a batch service multi-server polling system with dynamic service control

DOI10.3934/jimo.2017073zbMath1412.60128OpenAlexW2759191283MaRDI QIDQ1716985

Tao Jiang, Li-Wei Liu

Publication date: 5 February 2019

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2017073

zbMATH Keywords

multi-serverdynamic service controlIsraeli queuematrix-analytic approachLU-type RG-factorization

Mathematics Subject Classification ID

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

Related Items

Strategic behavior of customers and optimal control for batch service polling systems with priorities ⋮ On a batch matching system with impatient servers and boundedly rational customers ⋮ Analyzing discrete-time \(GI^{[X}/D-MSP/1/\infty\) queueing system using \(RG\)-factorization] ⋮ Customer behavior analysis in ticket windows at scenic spots from game-theoretic perspective

Cites Work

• Unnamed Item
• Optimal policies of \(M(t)/M/c/c\) queues with two different levels of servers
• Customer equilibrium and optimal strategies in an M/M/1 queue with dynamic service control
• The Israeli queue with retrials
• Optimization of the \(T\) policy M/G/1 queue with server breakdowns and general startup times
• An analysis of queueing systems with multi-task servers.
• Threshold properties of the \(M/M/1\) queue under T-policy with applications
• The Israeli queue with a general group-joining policy
• Performance analysis and optimization of a pseudo-fault \(\mathrm{Geo}/\mathrm{Geo}/1\) repairable queueing system with \(N\)-policy, setup time and multiple working vacations
• Vacation queueing models. Theory and applications
• DYNAMIC VISIT-ORDER RULES FOR BATCH-SERVICE POLLING
• The Israeli Queue with Priorities
• Polling with Batch Service
• Constructive Computation in Stochastic Models with Applications
• On the Solution to QBD Processes with Finite State Space
• The T-Policy for the M/G/1 Queue
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• The UnreliableM/M/1 Retrial Queue in a Random Environment
• THE ISRAELI QUEUE WITH INFINITE NUMBER OF GROUPS