Lack of Invariant Property of the Erlang Loss Model in Case of MAP Input

2005 ◽  
Vol 49 (2) ◽  
pp. 187-213 ◽  
Author(s):  
Valentina Klimenok ◽  
Che Soong Kim ◽  
Dmitry Orlovsky ◽  
Alexander Dudin
1995 ◽  
Vol 41 (6) ◽  
pp. 1107-1116 ◽  
Author(s):  
Jimmie L. Davis ◽  
William A. Massey ◽  
Ward Whitt

2017 ◽  
Vol 31 (4) ◽  
pp. 413-419 ◽  
Author(s):  
Valeriy Naumov ◽  
Konstantin Samouylov

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.


2001 ◽  
Vol 43 (2-3) ◽  
pp. 181-198 ◽  
Author(s):  
Michel Mandjes ◽  
Ad Ridder

2009 ◽  
Vol 63 (1-4) ◽  
pp. 217-239 ◽  
Author(s):  
J. Anselmi ◽  
Y. Lu ◽  
M. Sharma ◽  
M. S. Squillante
Keyword(s):  

2009 ◽  
Vol 70 (12) ◽  
pp. 2003-2012 ◽  
Author(s):  
A. I. Zeifman
Keyword(s):  

1996 ◽  
Vol 44 (6) ◽  
pp. 976-983 ◽  
Author(s):  
William A. Massey ◽  
Ward Whitt

2009 ◽  
Vol 178 (1) ◽  
pp. 23-43 ◽  
Author(s):  
A. M. de Bruin ◽  
R. Bekker ◽  
L. van Zanten ◽  
G. M. Koole

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