The field of Business Engineering can be best described as the development and use of methods and tools for quantitative and qualitative analysis of current business processes, and for design and implementation of new ways of working. The focus of Business Engineering is usually not on the production and assembly of goods, but more on administrative processes that occur in all public and privat...

An Introduction Prakash P. Shenoy and Rajendra P. Srivastava University of Kansas School of Business We are very pleased to serve as guest editors for this special issue of Information Systems Frontiers on business applications of uncertain reasoning. We would like to thank the chief editors Raghav Rao and Ram Ramesh for providing this opportunity. We would also like to thank the reviewers, Kur...

Fluctuations in economic activity over the course of the business cycle imply signifi cant welfare costs. Most obvious are the costs associated with periods of relatively weak activity, when productive resources are under-utilised, and consumption is below par.1 Periods of relatively strong activity can also be costly since they imply an ineffi cient bunching of activity, consumption and invest...

In this paper we present a survey of the use of differential geometric formalisms to describe Quantum Mechanics. We analyze Schrödinger and Heisenberg frameworks from this perspective and discuss how the momentum map associated to the action of the unitary group on the Hilbert space allows to relate both approaches. We also study Weyl-Wigner approach to Quantum Mechanics and discuss the implica...

The use of the mass term of the gauge field as a gauge fixing term, which was discussed by Zwanziger, Parrinello and Jona-Lasinio in a large mass limit, is related to the non-linear gauge by Dirac and Nambu. We have recently shown that this use of the mass term as a gauge fixing term is in fact identical to the conventional local Faddeev-Popov formula without taking a large mass limit, if one t...

The use of the mass term as a gauge fixing term has been studied by Zwanziger, Parrinello and Jona-Lasinio, which is related to the non-linear gauge Aμ = λ of Dirac and Nambu in the large mass limit. We have recently shown that this modified quantization scheme is in fact identical to the conventional local Faddeev-Popov formula without taking the large mass limit, if one takes into account the...

In this technical report we present a self-contained introduction to algorithms that solve sparse linear systems by message passing on a junction tree (a.k.a. clique tree). When solving the systemAx = b whereA is a sparse n×nmatrix, these methods require O(n · w3) time and O(n · w2) space, where w is the treewidth of A’s sparsity graph. These algorithms are useful for parallel or distributed so...