This paper considers the problem of minimizing a convex, separable quadratic function subject to a knapsack constraint and a box constraint. An algorithm called NAPHEAP is developed for solving this problem. The algorithm solves the Karush-Kuhn-Tucker system using a starting guess to the optimal Lagrange multiplier and updating the guess monotonically in the direction of the solution. The start...

The performance assessment of professional baseball starting pitchers is considered a multi-attribute decisionmaking (MADM) problem. This study develops an evaluation model based on the analytic hierarchy process (AHP) and grey relational analysis (GRA) to evaluate starting pitcher performance for teams of the Chinese Professional Baseball League. The AHP is used to determine attribute weights,...

We consider the large time behavior of Navier-Stokes flow past a rigid body in $\mathbb{R}^n$ with $n\geq 3$. first construct small stationary solution possessing optimal summability at spatial infinity, which is same as that Oseen fundamental solution. When translational velocity gradually increases and maintained after certain finite time, we then show nonstationary fluid motion converges to ...