In high-speed communication networks it is common to have requirements of very small cell loss probabilities due to buffer overflow. Losses are measured to verify that the cell loss requirements are being met, but it is not clear how to interpret such measurements. We propose methods for determining whether or not cell loss requirements are being met. A key idea is to look at the stream of loss...

In high-speed communication networks it is common to have requirements of very small cell loss probabilities due to bu er over ow. Losses are measured to verify that the cell loss requirements are being met, but it is not clear how to interpret such measurements. We propose methods for determining whether or not cell loss requirements are being met. A key idea is to look at the stream of losses...

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...

We derive in this paper the transient queue length and the busy period distributions of a single server queue with phase-type (PH) service times and a batch Markovian arrival process (BMAP). These distributions are obtained by the uniformization technique which gives simple recurrence relations. The main advantage of this technique is that it leads to stable algorithms for which the precision o...

In this note, we consider discrete-time finite Markov Chains and assume that they are only partly observed. We obtain finite-dimensional normalized filters for basic statistics associated with such processes. Recursive equations for these filters are derived by means of simple computations involving conditional expectations. An application to the estimation of parameters for the so-called discr...

Semiconductor wafer fabrication is perhaps one of the most complex manufacturing processes found today. In this paper, we construct a simulation model of part of a wafer fab using ProModel software and analyze the effect of different input variables on selected parameters, such as cycle time, WIP level and equipment utilization rates. These input variables include arrival distribution, batch si...

Motivated by the fault tolerance for manufacturing, we investigate a renewal input bulk arrival queue with fault-tolerant server, in which server can keep working low service rate even if partial failure occurs. Only when there are no customers system, be removed. To explore performance measures of queue, more generic and simpler algorithm based on right shift operator method solving difference...

Shanthikumar [10] studied the priority M/G/1 queue with server vacations and found that the difference between the waiting time distribution under the non-preemptive priority and that under the preemptive-resume priority is independent of the vacation policy. We extend this interesting property i) to the generalized vacations which includes the two vacation policies considered by Shanthikumar, ...

We consider a multiserver queueing system in which customers request service from a random number of identical servers. In contrast to batch arrival queues, customers cannot begin service until all required servers are available. Servers assigned to the same customer may free separately. For this model, we derive the steady-state distribution for waiting time, the distribution of busy servers, ...