We consider a two-stage service policy for a Poisson arrival queueing system. The idle server starts to work with ordinary service rate when a customer arrives. If the number of customers in the system reaches N, the service rate gets faster and continues until the system becomes empty....

Waiting lines or queues are commonly occurred both in everyday life and in a variety of business and industrial situations. The various arrival rates, service rates and processing times of jobs/tasks usually assumed are exact. However, the real world is complex and the complexity is due to the...

We consider a G / M / 1 queue with two-stage service policy. The server starts to serve with rate of μ 1 customers per unit time until the number of customers in the system reaches λ. At this moment, the service rate is changed to that of μ 2 customers per unit time and this rate continues...

We consider a G / M / 1 queue with two-stage service policy. The server starts to serve with rate of μ<Subscript>1</Subscript> customers per unit time until the number of customers in the system reaches λ. At this moment, the service rate is changed to that of μ<Subscript>2</Subscript> customers per unit time and this rate continues...</subscript></subscript>