Lack of Invariant Property of the Erlang Loss Model in Case of <Emphasis Type="Italic">MAP</Emphasis> Input |
| |
| Authors: | Email author" target="_blank">Valentina?KlimenokEmail author Che?Soong?Kim Dmitry?Orlovsky Alexander?Dudin |
| |
| Institution: | (1) Department of Applied Mathematics and Computer Science, Belarusian State University, 4 F. Skorina Ave., 220050 Minsk, Belarus;(2) Department of Industrial Engineering, Sangji University, Wonju, Kangwon, Korea, 220-702;(3) Department of Applied Mathematics and Computer Science, Belarusian State University, 4 F. Skorina Ave., 220050 Minsk, Belarus |
| |
| Abstract: | The BMAP/PH/N/0 model with three different disciplines of admission (partial admission, complete rejection, complete admission) is investigated.
Loss probability is calculated. Impact of the admission discipline, variation and correlation coefficients of inter-arrival
times distribution, and variation of service times distribution on loss probability is analyzed numerically. As by-product,
it is shown by means of numerical results that the invariant property of the famous Erlang M/G/N/0 system, which was proven by B. A. Sevastjanov, is absent in case of the MAP input.
AMS subject classification: Primary 60K25, 60K20
This revised version was published online in June 2005 with corrected coverdate |
| |
| Keywords: | BMAP/PH/N/0 queueing model stationary state distribution Erlang loss model invariant property |
| 本文献已被 SpringerLink 等数据库收录！ |
|
