Dr. Raviv’s solution, the “Service Oriented Timetable,” relies on computers and complicated algorithms to do the scheduling. “Our solution is useful for any metropolitan region where passengers are ...
In this paper we introduce two general techniques for the design and analysis of approximation algorithms for NP-hard scheduling problems in which the objective is to minimize the weighted sum of the ...
Dijkstra's algorithm has long been the quickest way of finding the shortest possible paths in a network, but researchers have ...
In this paper, we introduce the notion of smoothed competitive analysis of online algorithms. Smoothed analysis has been proposed by Spielman and Teng [25] to explain the behavior of algorithms that ...
The original version of this story appeared in Quanta Magazine. One July afternoon in 2024, Ryan Williams set out to prove himself wrong. Two months had passed since he’d hit upon a startling ...
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