Abstract This paper considers a FIFO single-server queue with service interruptions and multiple batch Markovian arrival streams. The server state (on and off), the type of arriving customers and their batch size are assumed to be governed by a continuous-time Markov chain with finite states. To put it more concretely, the marginal process of the server state is a phase-type alternating Markov ...

The analysis of a queue that serves batches of customers with a novel service policy is presented in this paper, showing that a closed steady-state distribution of the number of customers in the queue can be derived for a very general setting of its parameters. Two output processes are flowing out of this queue depending on the fact that single customers are removed from the queue upon completi...

This study considers a -policy Geo/G/1 queue with startup and closedown times. The -policy operates as follows. On completion of the vacation, if there are customers in the queue, the server is either to activate with probability p or to stay dormant in the system with probability 1-p for waiting a new arrival; and if no customer presents in the queue, the server obeys classical sin...

In this paper we propose a highly accurate approximate performance analysis of a heterogeneous server system with a processor sharing (PS) service discipline and a general job-size distribution under a generalized join the shortest queue (GJSQ) routing protocol. The GJSQ routing protocol is a natural extension of the well-known join the shortest queue (JSQ) routing policy that takes into accoun...

Future Military Satellite Communication systems will feature Time-Division Multiple Access (TDMA) uplinks in which uplink resources will be granted on demand to each terminal by a centralized resource controller. Due to the time-shared nature of the uplink, a terminal will not be constantly transmitting. It will only transmit in its assigned timeslots so as not to cause interference to other te...

the probability of losing a customer in m/g/n/0 and gi/m/n/0 loss queuing systems withheterogeneous servers is minimized. the first system uses a queue discipline in which a customer who arriveswhen there are free servers chooses any one of them with equal probability, but is lost otherwise. providedthat the sum of the servers rates are fixed, loss probability in this system attains minimum val...

In this paper we consider a like-queue production system in which server startup and breakdowns are possible. The server is turned on (i.e. begins startup) when N units are accumulated in the system and off when the system is empty. We model this system by an M/M/1 queue with server breakdowns and startup time under the N policy. The arrival rate varies according to the server’s status: off, st...

a study of the atmospheric particulate size distribution of total suspended particulate matter(tspm) and associated heavy metals concentrations has been carried out for the urban part of sarajevo city,bosnia and herzegovina. urban particles (n=150) were collected using a high volume air sampler equippedwith a 6-stage impactor. apart from fe which has been determined by flame atomic absorption s...