TITLE:
A Single Server Queue with Coxian-2 Service and One-Phase Vacation (M/C-2/M/1 Queue)
AUTHORS:
Zeyad R. Al-Rawi, Khalid M. S. Al Shboul
KEYWORDS:
Single Server Queues, Poisson Arrivals, Coxian-2 Distribution, Time Depending Solution, Steady State Solution
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.11 No.6,
June
30,
2021
ABSTRACT: In this paper, we study a single server queueing system with Coxian-2 service. In Particular, we study M/C-2/M/1 queue with Coxian-2 service and exponential vacation. We assume that units (customers) arrive at the system one by one in a Poisson process and the server provides one-by-one service based on first in first out (FIFO) rule. We obtained the steady state queue size distributions in terms of the probability generating functions, the average number of customers and their average waiting time in the system as well as in the queue.