TY - JOUR
T1 - A note on the subexponential asymptotics of the stationary distribution of M/G/1 type Markov chains
AU - Kim, Bara
AU - Kim, Jeongsim
N1 - Funding Information:
B. Kim’s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2011-0004133 ). J. Kim’s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2011-0011887 ).
PY - 2012/7/1
Y1 - 2012/7/1
N2 - Masuyama (2011) obtained the subexponential asymptotics of the stationary distribution of an M/G/1 type Markov chain under the assumption related to the periodic structure of G-matrix. In this note, we improve Masuyama's result by showing that the subexponential asymptotics holds without the assumption related to the periodic structure of G-matrix.
AB - Masuyama (2011) obtained the subexponential asymptotics of the stationary distribution of an M/G/1 type Markov chain under the assumption related to the periodic structure of G-matrix. In this note, we improve Masuyama's result by showing that the subexponential asymptotics holds without the assumption related to the periodic structure of G-matrix.
KW - M/G/1 type Markov chain
KW - Queueing
KW - Stationary distribution
KW - Subexponential asymptotics
UR - http://www.scopus.com/inward/record.url?scp=84862822439&partnerID=8YFLogxK
U2 - 10.1016/j.ejor.2012.01.016
DO - 10.1016/j.ejor.2012.01.016
M3 - Article
AN - SCOPUS:84862822439
SN - 0377-2217
VL - 220
SP - 132
EP - 134
JO - European Journal of Operational Research
JF - European Journal of Operational Research
IS - 1
ER -