We study a processor sharing queue with a limited number of service positions and an infinite buffer. The occupied service positions share an underlying resource. We prove that for service times with a decreasing failure rate, the queue length is stochastically decreasing in the number of service positions, and that for service times with an increasing failure rate, the queue length is stochast...

We study the impact of service time distributions on the distribution ofthe maximum queue length during a busy period for the Mx/G/1 queue. The maximum queue length is an important random variable to understand when designing the buffer size for finite-buffer (M/G/1/n) systems. We show the somewhat surprising result that, for three variations of the preemptive last-come-first-served discipline,...

In this paper, we consider the steady-state queue length distribution of the GI/G/1/K queue. As a result, we obtain transform-free expressions for the steady-state queue length distributions at an arrival, at a departure and at an arbitrary time, all in product forms. The results are obtained by what we call the decomposed Little’s formula, which applies the Little’s formula W L λ = to the n wa...

This paper considers the queue length distribution in a class of FIFO single-server queues with (possibly correlated) multiple arrival streams, where the service time distribution of customers from each arrival stream may differ from one another among streams. It is widely recognized that the queue length distribution in a FIFO queue with multiple non-Poissonian arrival streams having different...

The Internet architecture is currently being extended to support differentiated services. These extensions allow assignment of different levels of drop precedence to IP packets. With precedence levels, isolated forwarding of in profile packets can be offered. When offering such differentiated forwarding, it is important that the utilization of congested links does not get degraded due to effect...

introduction: the aim of this study was to evaluate the effect of bridge orientation in casting machine on castability and quality of base metal castings. methods: three groups of patterns with different direction and lengths in casting machine were casted and then studied qualitatively and quantitatively using mean and standard deviation in table of frequency. results: larger nodules and poros...

Using behavioral experiments, we examined the impact of dispensability of effort and salience of feedback on worker productivity and how they can be managed via queueing design. We considered two queue design features: queue structure that can either be parallel queues (multiple queues with a dedicated server per queue) or a single queue (a single pooled queue served by multiple providers); and...