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ANALYSIS OF MULTI-RESOURCE LOSS SYSTEM WITH STATE-DEPENDENT ARRIVAL AND SERVICE RATES

Published online by Cambridge University Press:  19 April 2017

Valeriy Naumov  and
Konstantin Samouylov
Valeriy Naumov
Affiliation:
Service Innovation Research Institute, Annankatu 8 A, 00120 Helsinki, Finland E-mail: [email protected]
Konstantin Samouylov
Affiliation:
Peoples' Friendship University of Russia (RUDN University), Miklukho-Maklaya St. 6, 117198 Moscow, Russian Federation E-mail: [email protected]
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Abstract

In this paper, we study a generalization of the classical multi-dimensional Erlang loss model with state-dependent arrival and service rates, in which customers at arrival occupy random quantities of various resources and release them at departure. Total amount of resources allocated to customers cannot exceed predefined maximum levels. There can be two types of customers: positive customers, which occupy positive quantities of resources, and negative customers, which occupy negative quantities of resources. Negative customers increase the amount of resources available to positive customers and therefore decrease blocking of positive customers caused by lack of resources.

Keywords

multi-class loss systemmultiple resourcesnegative customersstate-dependent arrivalsstate-dependent service
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 31 , Special Issue 4: G-Networks and their Applications , October 2017 , pp. 413 - 419
Copyright
Copyright © Cambridge University Press 2017 

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