We study an M/M/2 queueing system with two heterogeneous servers under a variant vacation policy, where the two servers may take together at most J vacations when the system is empty. A quasi-birth-and-death process is formulated to analyze the system. We obtain the explicit expressions of the stationary distribution of the system size and the mean system size. We also show that the number of v...

Abstract This paper is concerned with the analysis of an infinite-capacity batch arrival multi-server queueing system Bernoulli feedback, synchronous multiple and single working vacation policies, waiting servers, reneging retention reneged customers. The steady-state solution obtained by using probability generating function (PGF). In addition, important performance measures are derived. Then,...

This paper analyzes a discrete-time batch arrival queue with working vacations. In a GeoX/G/1 system, the server works at a lower speed during the vacation period which becomes a lower speed operation period. This model is more appropriate for the communication systemswith the transmit units arrived in batches.We formulate the system as an embeddedMarkov chain at the departure epoch and by theM...

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...

In this paper, we analyze a single-server vacation queue with a general arrival process. Two policies, working vacation and vacation interruption, are connected to model some practical problems. The GI/M/1 queue with such two policies is described and by the matrix analysis method, we obtain various performance measures such as mean queue length and waiting time. Finally, using some numerical e...

Vacations enable people to help one another, spend time together in pleasant contexts, and renew relational resources. Reasoning that these shared activities spread social and psychological benefits through social networks, we hypothesized that increase in the number of vacationing workers engenders nonlinear decline in psychological distress at the population level. We applied time-series meth...

CONTEXT Many clinical disciplines report high rates of burnout, which lead to low quality of care. Palliative care clinicians routinely manage patients with significant suffering, aiming to improve quality of life. As a major role of palliative care clinicians involves educating patients and caregivers regarding identifying priorities and balancing stress, we wondered how clinician self-managem...