this paper analyzes renewal input state dependent queue with $n$- policy wherein the server takes exactly one vacation. using the supplementary variable technique and recursive method, we derive the steady state system length distributions at various epochs. various performance measures has been presented. finally, some numerical  computations in the form of graphs are presented to show the par...

the principal aim of this paper is to serve the numerical solution of an integral-algebraic equation (iae) by using the bernoulli polynomials and the residual correction method. after implementation of our scheme, the main problem would be transformed into a system of algebraic equations such that its solutions are the unknown bernoulli coefficients. thismethod gives an analytic solution when t...

Nevi are a main risk factor for malignant melanoma, and most nevi develop in childhood. This study examined the relationship between vacations and nevi in 681 White children born in 1998 who were lifetime residents of Colorado. Vacation histories were assessed through telephone interviews of parents, whereas nevus and phenotypic characteristics were assessed through skin exams at age 7. Multipl...

AbstractIn this paper, a single server bulk service queuing system with interrupted vacation, request for Re-service and Balking is considered. At a service completion, if the server finds at least „a‟ customers waiting for service say ξ, he serves a batch of min (ξ ,b ) customers, whereb ≥ a. At the completion of an essential service, the leaving batch of customers may request for a re-service...

From pre-trip planning through post-trip remembering, vacations unfold over long periods of time. Through the course of a trip the same travel information may be used repeatedly but with different levels of success and satisfaction. These experiential fluctuations over time were examined in a study of trip planners, who collected travel information from a chamber of commerce before leaving home...

are called upon to undertake a great deal of work which is outside their terms of contract and which often takes them away for appreciable periods of time. The universities recognize this, for the work which is done in this way often helps to bring credit to the university and the contacts which are made bring distinguished visitors and may also attract junior staff and research workers of high...

We study MX/G/1 nonpreemptive and preemptive-resume priority queues with/without vacations under random order of service (ROS) discipline within each class. By considering the conditional waiting times given the states of the system, which an arbitrary message observes upon arrival, we derive the Laplace-Stieltjes transforms of the waiting time distributions and explicitly obtain the first two ...