This paper presents the transient solution of a variant working vacation queue with balking. Customers arrive according to a Poisson process and decide to join the queue with probability $b$ or balk with $bar{b} = 1-b$. As soon as the system becomes empty, the server takes working vacation. The service times during regular busy period and working vacation period, and vacation times are assumed ...

In this paper, an M/M/1 queue with working vacation and vacation interruption is investigated. The server is supposed to take a working vacation whenever the system becomes empty and if there are at least N customers waiting in the system at a service completion instant, vacation interruption happens and the server resumes a normal working period. A matrix geometric approach is employed to obta...

this paper investigates a discrete-time impatient customer queue with bernoulli-schedule vacation interruption. the  vacation times and the service times during regular busy period and during working vacation period are assumed to follow geometric distribution. we obtain the steady-state probabilities at arbitrary and outside observer's observation epochs using recursive technique. cost an...

As a generalization of classic queueing models with vacations,the working vacation queues were introduced in 2002, where the server serves customers at a lower rate rather than completely stopping service during the vacation period. This type of vacation models can be applied in performance evaluation of optical communication networks, production and service systems, and other fields. In recent...

This paper investigates a discrete-time impatient customer queue with Bernoulli-schedule vacation interruption. The  vacation times and the service times during regular busy period and during working vacation period are assumed to follow geometric distribution. We obtain the steady-state probabilities at arbitrary and outside observer's observation epochs using recursive technique. Cost analysi...

this paper analyzes a renewal input  working vacations queue with change over times and bernoulli schedulevacation interruption under (a,c,b) policy.the service and vacation times are exponentially distributed.the server begins service if there are at least c units in the queue and the service takes place in batches with a minimum of size a and a maximum of size b (a

This paper analyzes a discrete-time $Geo/Geo/c$ queueing system with multiple working vacations and reneging in which customers arrive according to a geometric process. As soon as the system gets empty, the servers go to a working vacations all together. The service times during regular busy period, working vacation period and vacation times are assumed to be geometrically distributed. Customer...

Although vacation from work provides a valuable opportunity for recovery, few studies have met the requirements for assessing its effects. These include taking measurements well ahead of the vacation, during the vacation and at several points in time afterwards. Our study on vacation (after ) effects focused on two related questions: (1) Do health and well being of working individuals improve d...

This paper presents a finite buffer renewal input single working vacation and vacation interruption queue with state dependent services and state dependent vacations, which has a wide range of applications in several areas including manufacturing, wireless communication systems. Service times during busy period, vacation period and vacation times are exponentially distributed and are state depe...

Consider a GI/Geo/1 queue with start-up period and single working vacation. When the system is in a closed state, an arriving customer leads to a start-up period. After the start-up period, the system becomes a normal service state. During the working vacation period, if there are customers at a service completion instant, the vacation can be interrupted and the server will come back to the nor...