“Interior point algorithms are a good choice for solving pure LPs or QPs, but when you solve MIPs, all you need is a dual simplex.” This is the common conception which disregards that an interior point solution provides some unique structural insight into the problem at hand. In this paper, we will discuss some of the benefits that an interior point solver brings to the solution of difficult MI...

In December 2020, the Russian Federation adopted Eurasian Economic Union (EAEU) requirements. This has significantly changed certification procedure for qualified persons (QPs) of manufacturers medicinal products human use in Federation. To accommodate these changes, regulatory framework needs further improvement. The aim study was to review changes made mechanism state regulation medicines and...

This paper considers the problem of solving Quadratic Programs (QPs) in the context of multi-stage Model Predictive Control (MPC). A Newton strategy is considered on the dual of the problem to achieve a parallelizable method. In this context, it has been observed that the globalization strategy can be expensive. In this paper, we propose to dualize both the nonanticipativity constraints and the...

We theoretically investigate a driven oscillator with the superconducting inductance subject to quantum phase slips (QPS). We find uncommon nonlinearities in the proposed device: they oscillate as a function of the number of photons N with a local period of the order of √N. We prove that such nonlinearities result in multiple metastable states encompassing few photons and study oscillatory depe...

Triggered by Burer’s seminal characterization from 2009, many copositive (CP) reformulations of mixed-binary QPs have been discussed by now. Most of them can be used as proper relaxations, if the intractable co(mpletely )positive cones are replaced by tractable approximations. While the widely used approximation hierarchies have the disadvantage to use positive-semidefinite (psd) matrices of or...

The present study has been carried out to understand the effect of electronic correlations on recently found fermions in CoSi. For which spectral functions bulk and (001) surface CoSi have investigated using DFT + DMFT advanced methodology at T = 100 K with without inclusion spin–orbit coupling (SOC). Co $${d_{xz}}$$ $${d_{yz}}$$ $$d_{z^2}$$ bands seem contribute threefold degenerate $$\Gamma $...