ANALYSIS OF MULTI-RESOURCE LOSS SYSTEM WITH STATE-DEPENDENT ARRIVAL AND SERVICE RATES. Issue 4 (19th April 2017)

• Record Type: Journal Article
• Authors: Naumov, Valeriy; Samouylov, Konstantin
• Is Part Of: Probability in the engineering and informational sciences. Volume 31:Issue 4(2017)
• Page Start: 413
• Page End: 419
• Publication Date: 2017-04-19
• Subjects: multi-class loss system, -- multiple resources, -- negative customers, -- state-dependent arrivals, -- state-dependent service; Probabilities -- Periodicals; Engineering -- Statistical methods -- Periodicals; Information science -- Statistical methods -- Periodicals; 519.202462
• DOI: 10.1017/S0269964817000079
• Languages: English
• ISSNs: 0269-9648

Abstract

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.