Heterogeneous System MMPP/GI(2)/∞ with Random Customers Capacities

DOI10.17516/1997-1397-2019-12-2-231-239OpenAlexW4229680569MaRDI QIDQ5853380

Alexander Moiseev, Mais P. Farhadov, Ekaterina Pankratova, Svetlana P. Moiseeva

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu752

zbMATH Keywords

Markov modulated Poisson processinfinite-server queueing systemrandom capacity of customers

Mathematics Subject Classification ID

Probability theory and stochastic processes (60-XX) Operations research, mathematical programming (90-XX)

Related Items (2)

Analysis of a resource-based queue with the parallel service and renewal arrivals ⋮ Asymptotic analysis of resource heterogeneous QS \((\mathrm{MMPP}+2\mathrm{M})^{(2,\nu )}/\mathrm{GI}(2)/\infty\) under equivalently increasing service time

Cites Work

• Unnamed Item
• Queueing system with processor sharing and limited memory under control of the AQM mechanism
• Queueing network \(\text{MAP}-(G I / \infty)^K\) with high-rate arrivals
• On the total amount of resources occupied by serviced customers
• Queueing System MAP/M/ ∞ with n Types of Customers
• On the sojourn time distribution in a finite capacity processor shared queue
• Queue-Size Distribution in M/G/1-Type System with Bounded Capacity and Packet Dropping

This page was built for publication: Heterogeneous System MMPP/GI(2)/∞ with Random Customers Capacities