The so-called “Israeli queue” (Boxma et al. in Stoch Model 24(4):604– 625, 2008; Perel and Yechiali in Probab Eng Inf Sci, 2013; Perel and Yechiali in Stoch Model 29(3):353–379, 2013) is a multi-queue polling-type system with a single server. Service is given in batches, where the batch sizes are unlimited and the service time of a batch does not depend on its size. After completing service, th...

In this paper we introduce a general class of rate-based push and pull load balancing strategies, assuming there is no central dispatcher and nodes rely on probe messages for communication. Under a pull strategy lightly loaded nodes send random probes in order to discover heavily loaded nodes, if such a node is found one task is transferred. Under a push strategy the heavily loaded nodes attemp...

in this paper, a multi-product continues review inventory control problem within batch arrival queuing approach (mqr/m/1) is modeled to find the optimal quantities of maximum inventory. the objective function is to minimize summation of ordering, holding and shortage costs under warehouse space, service level, and expected lost-sales shortage cost constraints from retailer and warehouse viewpoi...

A finite-buffer queueing model is considered with batch Poisson input and controllable service rate. A batch that upon arrival does not fit in the unoccupied places of the buffer is partially rejected. A decision to change the service mode can be made at service completion epochs only and vacation (switch-over) times are involved to prepare for the new mode. During a switch-over time service is...

The MetaRing is a Medium Access Control (MAC) protocol for highspeed LANs and MANs. The MetaRing MAC protocol offers its users synchronous, and asynchronous types of services and can operate under two basic access control modes: buffer insertion for variable size packets, and slotted for fixed length packets (i.e., cells). The latter mode of operation is considered in this paper, which only rep...

In this paper, we present a synthetic traffic model for the Universal Mobile Telecommunication Systems (UMTS) based on measured trace data. The analysis and scaling process of the measured trace data with respect to different bandwidth classes constitutes the basic concept of the UMTS traffic characterization. Furthermore, we introduce an aggregated traffic model for UMTS networks that is analy...

A generalization of the M/G/« queueing system with batch arrivals to one with time dependent arrival rates, service times, and batch size distributions is considered. It is shown that both W(t) , the number of people being served at t , and S(t) , the number of people who have completed service by t , are distributed as compound Poisson laws. The distributions of the traffic time average -1 T T...

Abstract Here a two-state batch arrivals and batch service Markovian queue with server vacation model has been taken into consideration for its mathematical modelling and performance analysis under transient state. The present Markovian queueing model considers a single server with multiple vacations and both arrivals and services in batches of variable size. Arriving customers are processed by...

In this paper, we consider a discrete time queueing system fed by a superposition of an ON and OFF source with heavy tail ON periods and geometric OFF periods and a D-BMAP (Discrete Batch Markovian Arrival Process). We study the tail behavior of the queue length distribution and both infinite and finite buffer systems are considered. In the infinite buffer case, we show that the asymptotic tail...