We demonstrate applications of algebraic techniques that optimize and certify polynomial inequalities to problems of interest in the operations research and transportation enginee...
The worst case complexity of direct-search methods has been recently analyzed when they use positive spanning sets and impose a sufficient decrease condition to accept new iterate...
Coupled continuous quadratic knapsack problems (CCK) are introduced in the present study. The solution of a CCK problem is equivalent to the projection of an arbitrary point onto t...
A polynomial optimization problem (POP) consists of minimizing a multivariate real polynomial on a semi-algebraic set K described by polynomial inequalities and equations. In its ...
In the minimum common string partition (MCSP) problem two related input strings are given. “Related” refers to the property that both strings consist of the same set of letters...
We study an approximation algorithm with a performance guarantee to solve a new NP-hard optimization problem on planar graphs. The problem, which is referred to as the minimum hub...
Hospitals have been challenged in recent years to deliver high quality care with limited resources. Given the pressure to contain costs, developing procedures for optimal resource ...
Given a proper cone K in Rn with its dual K∗ , the complementarity set of K is C (K) := {(x, s) : x ∈ K, s ∈ K∗ , x, s = 0}. A matrix A on Rn is said to be Lyapunov-like on...