This paper deals with the steady state behaviour of an Mx/G/1 queuing system with two different vacation periods under multiple vacation policy, where length of the first vacation is different from the rest of the vacations. We are concerned with the distribution of the queue size at busy period initiation epoch and distribution of the unfinished work. Further, we present a simple transform fre...

This paper studies the N policy M/G/1 queue with server vacations; startup and breakdowns, where arrivals form a compound Poisson process and service times are generally distributed. The server is turned off and takes a vacation whenever the system is empty. If the number of customers waiting in the system at the instant of a vacation completion is less than N, the server will take another vaca...

This paper proposes three wake-up approaches to reduce the battery power consumption for a mobile multimedia handset. These approaches switch the system into the sleep mode when the memory queue for the arriving packets is empty. Depending on the approaches, various wake-up mechanisms are considered. The threshold approach switches on the system when the number of packets in the memory queue is...

In this article, the authors introduce a simple approach for modeling and analyzing a SII G / / 1 queue where the server may take repeated vacations. When a busy period ends, the server takes a vacation of random duration. At the end of each vacation, the server may either start a new vacation or resume service. If a queue is found of less than n customers, the server will always take a new vac...

Single-server queues in which the server takes vacations arise naturally as models for a wide range of computer, communication and production systems. In almost all studies on vacation models, the vacation lengths are assumed to be independent of the arrival, service, workload and queue length processes. In the present study we allow the length of a vacation to depend on the length of the previ...