Results 1 
1 of
1
MinimumPerimeter Domain Assignment
, 1995
"... For certain classes of problems defined over twodimensional domains with grid structure, optimization problems involving the assignment of grid cells to processors present a nonlinear network model for the problem of partitioning tasks among processors so as to minimize interprocessor communication ..."
Abstract

Cited by 9 (5 self)
 Add to MetaCart
For certain classes of problems defined over twodimensional domains with grid structure, optimization problems involving the assignment of grid cells to processors present a nonlinear network model for the problem of partitioning tasks among processors so as to minimize interprocessor communication. Minimizing interprocessor communication in this context is shown to be equivalent to tiling the domain so as to minimize total tile perimeter, where each tile corresponds to the collection of tasks assigned to some processor. A tight lower bound on the perimeter of a tile as a function of its area is developed. We then show how to generate minimumperimeter tiles. By using assignments corresponding to nearrectangular minimumperimeter tiles, closed form solutions are developed for certain classes of domains. We conclude with computational results with parallel highlevel genetic algorithms that have produced good (and sometimes provably optimal) solutions for very large perimeter minimiza...