Parallel Algorithms for Some Optimization Problems Arising in Air Pollution Modeling

We will consider some optimization problems arising in air pollution modeling. An analogy with similar optimization problems, which can be formulated as Quadratic Optimization and Mixed Integer Linear Programming problems and arising in placement of components on a Printed Circuit Board (PCB) under different geometrical and technological constraints, will be made. We will also describe an efficient parallel Branch and Bound (B&B) algorithms to solve these MILP problems in a MIMD distributed memory environment. The algorithms are scalable and run on a cluster of workstations under PVM. The efficiency of the algorithms has been investigated and the test results on some placement tasks and from MIPLIB library are presented.