The paper deals with the analysis of BMAP/G/1 vacation models. We apply a formerly introduced two-step methodology separating the analysis into service discipline independent and service discipline dependent parts. In this paper we investigate the later analysis part for the binomial-gated and the binomial-exhaustive service disciplines, for which a specific form functional equation can be esta...

We consider a problem of repeatedly scheduling n jobs on m parallel machines. Each job is associated with a profit that is gained each time the job is completed, and the goal is to maximize the average profit per time unit. Once the processing of a job is completed, it goes on vacation and returns to the system, ready to be processed again, only after its vacation is over. This problem has many...

In this paper, we analyze the performance of battery power management schemes in wireless mobile devices using a queueing theory approach. We model the battery as a server with finite service capacity and data packets as customers to be served. With an intent to exploit the recharging capability of the battery when left idle, we allow the battery to go on intentional vacations during which the ...

An analysis of single server preemptive priority retrial queue with at most J vacations where two types of customers called (priority customers and ordinary customers) are considered in this paper. The priority customers do not have queue and they have higher priority to receive their services over ordinary customers. If negative customer is arriving during the service time of any positive cust...

We investigate the solution of an N-unit series system with finite number of vacations. By using CC00-semigroup theory of linear operators, we prove well-posedness and the existence of the unique positive dynamic solution of the system.

The main ways of adapting labor legislation in accordance with the conditions martial law are revealed, innovations and individual issues changes relations under Ukraine analyzed. Since issue limiting, violating protecting rights employees, expanding employers became quite relevant onset law, authors focused on important provisions amended tried to explain theoretical practical features applica...