Solving conservation's money problems

Solving optimal control problems by PSO-SVM

The optimal control of problem is about finding a control law for a given system such that a certain optimality criterion is achieved. Methods of solving the optimal control problems are divided into direct methods and mediated methods (through other equations). In this paper, the PSO- SVM indirect method is used to solve a class of optimal control problems. In this paper, we try to determine t...

An efficient approach for solving layout problems

This paper offers an approach that could be useful for diverse types of layout problems or even area allocation problems. By this approach there is no need to large number of discrete variables and only by few continues variables large-scale layout problems could be solved in polynomial time. This is resulted from dividing area into discrete and continuous dimensions. Also defining decision var...

Science and Money: Problems and Solutions

Scientific research, like carpentry, farming, manufacturing , or banking, is a form of business. The business of science is to produce new discoveries and innovations that advance human knowledge and society. Science, like any other business, involves investments of money, property, human resources, facilities, and capital. The global spending on research and development (R & D) is $1.6 trillio...

Solving nonlinear eigenvalue problems

Solving Quadratic Assignment Problems

We describe a branch-and-bound algorithm for the quadratic assignment problem (QAP) that uses a convex quadratic programming (QP) relaxation to obtain a bound at each node. The QP subproblems are approximately solved using the Frank-Wolfe algorithm, which in this case requires the solution of a linear assignment problem on each iteration. Our branching strategy makes extensive use of dual infor...