In this paper, we discuss a deteriorating system with one repairman. In this system, it is assumed that the component cannot be repaired ”as good as new” after failures and the repairman takes a delayed vacation, the repair time is taken into account. Under these assumptions, we derive a model of partial differential equations by using the geometric process and supplementary variable technique....

In this paper, a new kind of repairable system with repairman vacation and warning device is discussed, in which the delayed vacation rate and failure rates are functions related to system working time. The system model is established by using probability analysis method, which then is translated into a initial value problem of a class of abstract semi-linear evolution equation in a suitable Ba...

On the basis of theoretical assumptions regarding resource gain and loss (S. E. Hobfoll, 1998), the authors used a longitudinal study to examine effects of vacation on well-being and performance-related outcomes. University employees (N = 221) completed measures of well-being (health complaints and burnout) and performance-related outcomes (self-reported task performance and effort expenditure)...

The M/M/1 retrial queue with working vacations and negative customers is introduced. The arrival processes of positive customers and negative customers are Poisson. Upon the arrival of a positive customer, if the server is busy the customer would enter an orbit of infinite size and the orbital customers send their requests for service with a constant retrial rate. The single server takes an exp...

We treat a single–server vacation queue with queue–length dependent vacation schedules. This subsumes the single–server vacation queue with exhaustive service discipline and the vacation queue with Bernoulli schedule as special cases. The lengths of vacation times depend on the number of customers in the system at the beginning of a vacation. The arrival process is a batch–Markovian arrival pro...

This paper considers the equilibrium balking behavior of customers in a single-server Markovian queue with variable vacation and interruption, where server can switch across four states: vacation, working idle period, busy period. Once becomes empty, commences slows down its service rate. However, this period may be interrupted anytime by interruption. Upon completion takes probability-based ma...

Abstract: We consider a discrete-time 1 X Geo G retrial queue with general retrial times, and introduce working vacations and vacation interruption policy into the retrial queue. Firstly, we analyze the stationary condition for the embedded Markov chain at the departure epochs. Secondly, using supplementary variable method, we obtain the stationary probability distribution and some performance ...

In this paper, we investigate the power management of mobile devices, using a variant of an M/G/1 queue with probabilistic inhomogeneous multiple vacations and generalized service process. Under the vacation scheme, at the end of a vacation the server goes on another vacation, with a different probability distribution, if during the previous vacation there have been no arrivals. The modified va...

Abstract: This paper deals with the steady state behavior of an M/G/1 retrial queue with two successive phases of service and general retrial times under Bernoulli vacation schedule for an unreliable server. While the server is working with any phase of service, it may breakdown at any instant and the service channel will fail for a short interval of time. The primary customers finding the serv...