This paper addresses a new mixed integer nonlinear and linear mathematical programming economic lot sizing and scheduling problem in distributed permutation flow shop problem with number of identical factories and machines. Different products must be distributed between the factories and then assignment of products to factories and sequencing of the products assigned to each factory has to be d...

We apply column generation to approximating complex structured objects via a set of primitive structured objects under either the cross entropy or L2 loss. We use L1 regularization to encourage the use of few structured primitive objects. We attack approximation using convex optimization over an infinite number of variables each corresponding to a primitive structured object that are generated ...

This paper presents in a unified form a column generation scheme for integer programming. The scheme incorporates the two major algorithmic approaches in integer programming, the branch and bound technique and the cutting plane technique. With integrality conditions imposed on the variables it is of importance to limit the number of columns introduced in the integer programming problem. This is...

A unified modeling approach that combines rigorous rate-based balance equations with the model-order reduction properties of orthogonal collocation on finite elements (OCFE) approximation techniques is employed for the design and optimization of complex staged separation processes. The process model involves the rigorous description of mass and heat transfer phenomena, phase equilibrium, and ch...

L-DOPA (3,4-dihydroxyphenyl-L-alanine), a modified amino acid, is an expansively used drug for the Parkinson's disease treatment. In the present study, optimization of nutritional parameters influencing L-DOPA production was attempted using the response surface methodology (RSM) from Mucuna monosperma callus. Optimization of the four factors was carried out using the Box-Behnken design. The opt...

Given a fixed matrix, the problem of column subset selection requests a column submatrix that has favorable spectral properties. Most research from the algorithms and numerical linear algebra communities focuses on a variant called rank-revealing QR, which seeks a well-conditioned collection of columns that spans the (numerical) range of the matrix. The functional analysis literature contains a...

purpose: neuromyelitis opitca (nmo) is an autoimmune disease that relates to deposition of anti-aquaporin-4 (aqp4) igg in the central nervous system (cns). however, called seronegative nmo when patients are negative for aqp4 antibody. nevertheless, nmo is most probably an antibody mediated disease. the aim of this study was to assess the association between seronegative nmo disease and variatio...

ÐExploiting locality of references has become extremely important in realizing the potential performance of modern machines with deep memory hierarchies. The data access patterns of programs and the memory layouts of the accessed data sets play a critical role in determining the performance of applications running on these machines. This paper presents a cache locality optimization technique th...