We provide a uni ed description of thermal equilibria of black hole accretion disks, including the newly-discovered advection-dominated solutions. We classify the solutions on the basis of optical depth and importance of advection cooling. We demonstrate that only four physically distinct topological types of equilibria exist. Two of the types correspond to optically thin and optically thick eq...

Optimal operation of hydropower reservoir systems often needs to optimize multiple conflicting objectives simultaneously. The conflicting objectives result in a Pareto front, which is a set of non-dominated solutions. Non-dominated solutions cannot outperform each other on all the objectives. An optimization framework based on the multi-swarm comprehensive learning particle swarm optimization a...

This paper proposes a multi-objective model for the economic-statistical design of the variable sample size and sampling interval multivariate exponentially weighted moving average control chart by using double warning lines. The Markov chain approach is used to obtain the statistical properties. We extend the Lorenzen and Vance cost function considering multiple assignable causes and multivari...

Hard multi-criteria (MC) problems are computationally intractable problems requiring optimization of more than one criterion. However, the optimization of two or more criteria tends to yield not just one optimal solution, but rather a set of non-dominated solutions. As a result, the evolution of a Pareto-Optimai set of non-dominated solutions from some population of candidate solutions is often...

We derive exact general solutions (as opposed to attractor particular solutions) and corresponding first integrals for the evolution of a scalar field $\phi$ in universe dominated by background fluid with equation state parameter $w_B$. In addition previously-examined linear [$V(\phi) = V_0 \phi$] quadratic \phi^2$] potentials, we show that exist power law potential $V(\phi) \phi^n$ $n 4(1+w_B)...