Two types of service; Re-service; Modified vacation; Balking; Service interruption Abstract This paper deals with the steady state analysis of batch arrival retrial queueing system with two types of service under modified vacation policy, where each type consists of an optional re-service. An arriving batch may balk the system at some particular times. After the completion of each types of serv...

Abstract: This paper treats a discrete-time batch arrival queue with geometrically working vacations and vacation interruption. The main purpose of this paper is to present a performance analysis of this system. For this purpose, we first derive the probability generating function (PGF) of the stationary system length at the departure epochs based on the embedded Markov chain technique. Next, w...

This paper deals with a M/M/c queueing system waiting servers, balking, reneging, and K-variant working vacations subjected to Bernoulli schedule vacation interruption. Whenever the is emptied, servers wait for while before synchronously going on during which services are offered lower rate. We obtain steady-state probabilities of using matrix-geometric method. In addition, we derive important ...

A deaf, partially sighted, severely retarded autistic girl, 11 years, 6 months of age, received approximately 2 years of occupational therapy, where sensory integration procedures were employed to reduce self-stimulation. Videotaped time samples of the amount of stereotypies showed a consistent reduction from the time of starting therapy to an interruption for vacation and surgery for scoliosis...

The retrial phenomenon occurs inherently in a wide range of queueing systems. majority models do not account for vacation. However, practice, systems undergo vacations maintenance or other reasons. In this study, we provide an in-depth analysis the many possible when Bernoulli are effect. Moreover, study outlines key principles and reviews relevant literature. framework queue with vacation has ...