Lack of invariant property of the Erlang loss model in case of MAP input
type: Item
instance of: scholarly article
title: Lack of invariant property of the Erlang loss model in case of MAP input
zbMATH Open document ID: 1066.60083
author: Chesoong Kim
author: Valentina Klimenok
author: Dmitry S. Orlovsky
author: Alexander Dudin
published in: Queueing Systems
publication date: 2005-05-04T00:00:00Z
review text: The invariant property of the M/G/N/0 says that its stationary state distribution is the same as the one in the M/M/N/0 queue conditioned that the average service times in both models coincide. The authors answer the question, whether the model BMAP/PH/N/0 is invariant with respect to the service time distribution. A negative answer is obtained as a corollary of numerical investigation of the system. Special attention is paid to the loss probability.
reviewed by: Oleg K. Zakusilo
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 60K20
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 2165003
MaRDI profile type: Publication
full work available at URL: s11134-005-6481-z
OpenAlex ID: W1989689174
cites work: Multi-dimensional quasi-Toeplitz Markov chains
cites work: Q3961697
cites work: New results on the single server queue with a batch markovian arrival process
DOI: 10.1007/S11134-005-6481-Z
description: scientific article; zbMATH DE number 2165003