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We consider the problem of scheduling a collection of dynamically arriving jobs with unknown execution times so as to minimize the average flow time. This is the classic CPU scheduling problem faced by time-sharing operating systems where preemption is allowed. It is easy to see that every...
This article deals with randomized allocation processes placing sequentially n balls into n bins. We consider multiple-choice algorithms that choose d locations (bins) for each ball at random, inspect the content of these locations, and then place the ball into one of them, for example, in a...
This article introduces the sieve , a novel building block that allows to adapt to the number of simultaneously active processes (the point contention ) during the execution of an operation. We present an implementation of the sieve in which each sieve operation requires O ( k log k ) steps,...
In this article, we develop a general methodology, mainly based upon Lyapunov functions, to derive bounds on average delays, and on averages and variances of queue lengths in complex systems of queues. We apply this methodology to cell-based switches and routers, considering first output-queued...
We give a simple and new randomized primality testing algorithm by reducing primality testing for number n to testing if a specific univariate identity over Z n holds.We also give new randomized algorithms for testing if a multivariate polynomial, over a finite field or over rationals, is...
The theory of generalized functions is the foundation of the modern theory of partial differential equations (PDE). As computers are playing an ever-larger role in solving PDEs, it is important to know those operations involving generalized functions in analysis and PDE that can be computed on...
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