Robust optimization in countably infinite linear programs

A robust optimization framework for countably infinite linear programs (CILPs) is developed. It is shown that a particular robust counterpart of a nominal CILP can be reformulated as another CILP. A bound on the probability of constraint violation is derived. A convergent algorithm for solving this robust CILP is proposed.     

Hawking radiation of some black holes via the non-equilibrium Landauer transport model

Recently, Nation et al. confirmed that fluxes of Hawking radiation energy and entropy from a black hole can be regarded as a one-dimensional (1D) non-equilibrium Landauer transport process. Their work can be extended to background space-times with gauge potential. The result shows that the energy flux of charged particles, which is shown to be equal to the energy–momentum tensor flux, contains not only the contribution of thermal flux but also that of particle flux. It is found that the charge can also be transported by the 1D quantum channel. Moreover, the entropy production rate is also investigated, which is shown to be larger than the case without chemical potential.     

Competitive dynamics in pharmaceutical markets: A case study in the chronic cardiac disease market

A modelling project involved system dynamics simulation of chronic cardiac disease in Bulgaria, examining the dynamic behaviour of a cardiac drug molecule in the market. The system dynamics model was calibrated using market data sourced from the Bulgarian National Health Care Fund, the Bulgarian Generic Pharmaceutical Association and a market research firm. The main results of the study showed that the timing of access to market was a critical driver in reducing prices and providing wider, as well as more affordable, access for patients to medicinal therapy. Our findings indicate that healthcare authorities may obtain savings while, at the same time, they may provide conditions for more patients to be treated depending on the timing of access to market of new generic drugs.     

Numerical simulation for the temperature changing rule of the crude oil in a storage tank based on the wavelet finite element method

In order to study the temperature changing rule of the crude oil in the storage tank, the wavelet finite element method, the traditional finite element method and the test were used to carry out the numerical simulation. Firstly, the thermal wavelet finite element was put forward established based on thermal finite element theory and the wavelet theory. And the computational model and three boundary conditions were established. And then the temperature changing rule of the crude oil in the storage tank in 24 h for three boundary conditions was obtained by using three methods, and the results showed that the wavelet finite element method had advantages in the numerical analysis of the temperature changing rule of the crude oil in the storage. And then the temperature distribution rule of the crude oil in the storage tank under different conditions in 5 h was obtained. And the temperature changing mechanism of the crude oil was summarized finally.     

Birationally rigid hypersurfaces

We prove that for N≥4, all smooth hypersurfaces of degree N in ? ^N are birationally superrigid. First discovered in the case N=4 by Iskovskikh and Manin in a work that started this whole direction of research, this property was later conjectured to hold in general by Pukhlikov. The proof relies on the method of maximal singularities in combination with a formula on restrictions of multiplier ideals.     

Interpenetrating Network Hydrogels based on Nanostructured Conductive Polymers for Flexible Supercapacitor

Flexible conductive polymer hydrogels are unique material that synergize the features of conductive polymers and hydrogels. They are excellent candidates for the flexible supercapacitor electrodes. In this paper, flexible conductive polymer hydrogels were prepared with poly(vinyl alcohol) as soft skeleton through cyclic freezing-thawing method. Firstly, phytic acid-doped polyaniline with crosslinked network was prepared using phytic acid as the dopant and crosslinking agents. Hydrogels with interpenetrating binary network nanostructure were then formed by freezing-thawing method. The interpenetrating binary network structure endowed the hydrogel reliable mechanical properties with decent flexibility and compressive strength of 3.64 MPa. More importantly, this unique structure enable them to maintain highly specific capacitance (314 F/g at the current density of 0.5 A/g).