In this paper a new approach for the global solution of nonconvex MINLP (Mixed Integer NonLinear Programming) problems that contain signomial (generalized geometric) expressions is proposed and illustrated. By applying different variable transformation techniques and a discretization scheme a lower bounding convex MINLP problem can be derived. The convexified MINLP problem can be solved with st...

This paper considers the existence of the generalized solution to the initial vale problem for a generalized Zakharov equation in dimension two. By a priori integral estimates and the Galerkin method, one can arrive at the global generalized solution to the problem.

* Eleventh (11th) Hasi Majumdar Memorial Lecture, E.T.O., University of Calcutta, February 28, 2014 ** Director, Society for Applied Studies, CF-198, Salt Lake, Sector-I, Kolkata-700 064 My friends often asked me to write my own account on the development of ORT and its global implementation. I hesitated so long partly due to my preoccupation with my ongoing work and partly my desire not to off...

This paper presents a decomposition approach for a quite general class of mixed-integer dynamic optimization problems that is capable of guaranteeing a global solution despite the nonconvexities inherent to the dynamic optimization subproblems. A case study is presented in connection to the optimal design and operation of a batch process consisting of a series reaction followed by a separation ...

WireWarping [1] is a fast surface flattening approach, which presents a very important property of length-preservation on feature curves. The global scheme of WireWarping formulates the warping problem into an optimization in angle space and solves it by using the Newton’s method. However, some diverged examples were found in our recent tests. This technical note presents a least-norm solution ...

This paper presents a parallel algorithm for obtaining global solutions to general mathematical programming problems with nonconvex constraints involving continuous variables. The proposed algorithm implements an optimization based bound tightening technique (Smith [1996], Ryoo and Sahinidis [1995], Adjiman et al. [2000]) in parallel on the root node of the branch-and-bound tree structure. Upon...

The variational Bayesian (VB) approximation is known to be a promising approach to Bayesian estimation, when the rigorous calculation of the Bayes posterior is intractable. The VB approximation has been successfully applied to matrix factorization (MF), offering automatic dimensionality selection for principal component analysis. Generally, finding the VB solution is a non-convex problem, and m...

When we model black hole accretion sources such as active galactic nuclei and black hole X-ray binaries as advection-dominated accretion flows (ADAFs), it is neccesary to use the global solution to the equations rather than the simpler self-similar solution, since the latter is inaccurate in the region near the black hole where most of the radiation is emitted. However, technically, it is a dif...

There is a complex range of interrelated environmental issues that currently challenge decision-makers across the world. To date the reputation of the information and communication technology (ICT) industry in Australia, and elsewhere, has been quite negative with respect to its effect on the environment. The recent "Green IT" initiatives of the Australian Computer Society to reduce carbon emis...

I the face of persistently lackluster job creation, the U.S. health sector is paradoxically seen as both a contributor to torpid macroeconomic growth and a source of local employment opportunities. Labor costs account for more than half of U.S. health care spending, but as payment structures shift from volumebased reimbursement to the rewarding of value in improving health, the locus of health ...