An extensive literature exists describing various techniques for the evaluation of Hankel determinants. The prevailing methods such as Dodgson condensation, continued fraction expansion, LU decomposition, all produce product formulas when they are applicable. We mention the classic case of the Hankel determinants with binomial entries 3k+2 k and those with entries 3k k ; both of these classes o...

For a static/dynamic O-D matrix estimation, usually, the basic required information is a starting estimation of O-D matrix and a set of traffic counts. In the era of the Intelligent Transportation Systems, a dynamic estimation of traffic demand has become a crucial issue. Different Dynamic Traffic Assignment (DTA) models have been proposed, used also for O-D matrices estimation. This paper pres...

Traffic assignment is fundamentally a tool for transportation planning. It allocates trips within the traffic network. However, modern uses of traffic assignment also include shorter time horizons and even real-time use (e.g., for route recommendation). In the latter case, it is interesting to recommend routes that are as close as possible to the system optimum. To compute an approximation of t...

Social network applications are inherently interactive, creating a requirement for processing user requests fast. To enable fast responses to user requests, social network applications typically rely on large banks of cache servers to hold and serve most of their content from the cache. In this work, we present DynaSoRe: a memory cache system for social network applications that optimizes data ...