Author:
Naumov Valeriy,Samouylov Konstantin
Abstract
In the paper, we study general Markovian models of loss systems with random resource requirements, in which customers at arrival occupy random quantities of various resources and release them at departure. Customers may request negative quantities of resources, but total amount of resources allocated to customers should be nonnegative and cannot exceed predefined maximum levels. Allocating a negative volume of a resource to a customer leads to a temporary increase in its volume in the system. We derive necessary and sufficient conditions for the product-form of the stationary probability distribution of the Markov jump process describing the system.
Publisher
Cambridge University Press (CUP)
Subject
Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability
Reference20 articles.
1. Basharin, G.P. & Naumov, V.A. (1984). Simple matrix description of peaked and smooth traffic and its applications. Fundamentals of Teletraffic Theory. Proceedings of the Third International Seminar on Teletraffic Theory. Moscow: VINITI, 38–44.
2. ANALYSIS OF MULTI-RESOURCE LOSS SYSTEM WITH STATE-DEPENDENT ARRIVAL AND SERVICE RATES
3. Product-form queueing networks with negative and positive customers
4. On Markovian modelling of arrival processes
5. Energy Packet Networks With Energy Harvesting
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献