Johan van Leeuwaarden
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We apply a new corrected diffusion approximation for the Erlang C formula to determine staffing levels in cost minimization and constraint satisfaction problems. These problems are motivated by large… Continue Reading
We consider the fixed-cycle traffic-light (FCTL) queue, where vehicles arrive at an intersection controlled by a traffic light and form a queue. The traffic-light signal alternates between green and… Continue Reading
This paper deals with the fixed-cycle traffic-light (FCTL) queue, where vehicles arrive at an intersection controlled by a traffic light and form a queue. The traffic light alternates between green… Continue Reading
Random-access networks may exhibit severe unfairness in throughput, in the sense that some nodes receive consistently higher throughput than others. Recent studies show that this unfairness is due to… Continue Reading
In this paper we consider a class of quasi-birth-and-death processes for which explicit solutions can be obtained for the rate matrix R and the associated matrix G. The probabilistic interpretations… Continue Reading
The determination of the PGF of the queue length distribution often requires the zeros on and within the unit circle of functions of the type z^s-A(z), where A(z) is a PGF. We present an elementary… Continue Reading
We consider a system of N parallel single-server queues with unit exponential service rates and a single dispatcher where tasks arrive as a Poisson process of rate λ(N). When a task arrives, the di...
Let X1,?X2,?… be independent variables, each having a normal distribution with negative mean -s
We flnd scaling limits for the sizes of the largest components at criticality for the rank-1 inho- mogeneous random graphs with power-law degrees with exponent ?. We investigate the case where ? 2… Continue Reading
An open-end wrench, which is self-adjusting and ratcheting, clamps at least four side surfaces of a nut or bolt head, and is adjustable to fit a range of sizes.