TY - JOUR
ID - 521895
TI - AN M/G/1 QUEUE WITH REGULAR AND OPTIONAL PHASE VACATION AND WITH STATE DEPENDENT ARRIVAL RATE
JO - International Journal of Mathematical Modelling & Computations
JA - IJM2C
LA - en
SN - 2228-6225
AU - Kalyanaraman, Rathinasabapathy
AU - R, Shanthi
AD - Professor of Mathematics, Annamalai University
India
Professor of Mathematics 2nd
AD - Assistant professor Annamalai University
India
Research Scholar
Y1 - 2015
PY - 2015
VL - 5
IS - 3 (SUMMER)
SP - 231
EP - 244
KW - Vacation queue
KW - Supplementary variable
KW - probability generating function
KW - Performance Measures
DO -
N2 - We consider an M/G/1 queue with regular and optional phase vacation and withstate dependent arrival rate. The vacation policy is after completion of service if there are no customers in the system, the server takes vacation consisting of K -phases, each phase is generally distributed. Here the first phase is compulsory where as the other phases are optional. For this model the supplementary variable technique has been applied to obtain the probability generating functions of number of customers in the queue at the different server states. Some particular models are obtained and a numerical study is also carried out.
UR - http://ijm2c.iauctb.ac.ir/article_521895.html
L1 - http://ijm2c.iauctb.ac.ir/article_521895_f2fc87bb39b9aea01c40c8a3b043a93c.pdf
ER -