This paper studies the machine repair problem consisting of M operating machines with S spare machines, and R servers (repairmen) who leave for a vacation of random length when there are no failed machines queuing up for repair in the repair facility. At the end of the vacation the servers return to the repair facility and operate one of three vacation policies: single vacation, multiple vacati...

This study adds to research on the beneficial effects of vacation to employees' well-being and on the fade-out of these effects. One hundred and thirty-one teachers completed questionnaires one time before and three times after vacationing. Results indicated that teachers' work engagement significantly increased and teachers' burnout significantly decreased after vacation. However, these benefi...

We adapt the descendant set approach used in polling models to the continuous fluid model. This enables to establish the steady-state relationship on Laplace transform level among the joint distributions of the fluid level and the state of the modulating Markov chain at end of vacation and at start of vacation. The main results of the paper are the steady-state vector LT and mean of the fluid l...

Internet usage has been integrated into most of our activities because of the convenience and accessibility it offers. Arguably, the most common holiday-related online activity users engage in is shopping. Each year, online shoppers troop online to search for the latest promos, coolest gifts, and biggest bargains or to book flights and reservations to go on their dream vacations during the Chri...

OBJECTIVE When someone plans a vacation, one of the last things taken into consideration is the possibility of contracting an illness while away. Unfortunately, if people develop abdominal pain while planning for a vacation, they usually proceed with the vacation and do not consider getting medical attention for their pain. The purpose of this study was to examine the effect of being on vacatio...

We study an M/G/1 queueing system where the arrival follows Poisson Process. The server provides service in two stages, the first stage service is essential and the second stage of service is optional. If the system is empty then the server goes for a vacation of random duration and after returning from vacation the server decides to take a second vacation which is optional. When the server is ...

Abstract This paper studies a batch arrival queueing system in which the server may face occasional random breakdowns. The repair process does not start immediately after a breakdown and there is a delay time waiting for repairs to start. Further, after every service completion the server has the option to leave for a vacation with probability p or continue serving with probability1 − p. The ma...

We consider an M/G/1 quening system, where batches of customers are assumed to arrive the system according to a compound Poisson process. As soon as the system becomes empty, the server takes a vacation for a random length of time called vacation time to do other jobs, which is uninterruptible. After returning from that vacation, there are two possibilities viz. (i) he keeps on taking vacations...