This paper presents a set of complete solutions and optimality conditions for a nonconvex quadratic-exponential optimization problem. By using the canonical duality theory developed by the first author, the nonconvex primal problem in n-dimensional space can be converted into an one-dimensional canonical dual problem with zero duality gap, which can be solved easily to obtain all dual solutions...

This paper presents a new warmstarting technique in the context of a primal-dual column generation method applied to solve a particular class of combinatorial optimization problems. The technique relies on calculating an initial point and on solving auxiliary linear optimization problems to determine the step direction needed to fully restore primal and dual feasibilities after new columns arri...

This paper concerns model reduction of dynamical systems using the nuclear norm of the Hankel matrix to make a trade-off between model fit and model complexity. This results in a convex optimization problem where this tradeoff is determined by one crucial design parameter. The main contribution is a methodology to approximately calculate all solutions up to a certain tolerance to the model redu...

The question of nonemptiness of the intersection of a nested sequence of closed sets is fundamental in a number of important optimization topics, including the existence of optimal solutions, the validity of the minimax inequality in zero sum games, and the absence of a duality gap in constrained optimization. We consider asymptotic directions of a sequence of closed sets, and introduce associa...

Lagrangian bounds, i.e. bounds computed by Lagrangian relaxation, have been used successfully in branch and bound bound methods for solving certain classes of nonconvex optimization problems by reducing the duality gap. We discuss this method for the class of partly linear and partly convex optimization problems and, incidentally, point out incorrect results in the recent literature on this sub...

In induction machines, an eccentrically positioned rotor experienced a strong unbalanced pull toward the short side of the air gap. The non-symmetric flux distribution due to the eccentricity induces circulating currents in the rotor cage and parallel branches of the stator winding. These currents equalise the flux distribution and reduce the unbalanced magnetic pull. In this paper, the effects...

The management of risk in business processes has been the subject of active research in the past few years. Potentially, many benefits can be obtained by integrating the two traditionally separated fields of risk management and business process management, including the ability to minimize risks in business processes by design and to mitigate such risks at run time. While there has been an incr...

This paper reports on a program of practice-driven research to develop theory to improve IS project performance. This is a significant and persistent problem for the IS discipline. The paper identifies a novel, meta-level research methodology or approach that is motivated by ‘looking for a gap in practice and developing the theory in the gap’. Reviewing four examples from a seven-year research ...

Despite evidence on what works in healthcare, there is a significant gap in the time it takes to bring research into practice. The Council of Academic Hospitals of Ontario's Adopting Research to Improve Care program addresses this research-to-practice gap by incorporating the following components into its funding program: strategic selection of evidence for implementation, education and trainin...

Despite its being deliberated since at least the 1980s, a national vaccine injury compensation program still does not exist in Canada. The omission of such a program stands as a gap in Canadian immunization policy in comparison to many other equivalently developed countries. This article outlines the arguments for a compensation program and the design elements that would be best suited to a pro...