Pitchmatching algorithms are widely used in layout environments where no grid constraints are imposed. However, realistic layouts include multiple grid constraints which facilitate the applications of automatic routing. Hence, pitchmatching algorithms should be extended to those realistic layouts. This paper formulates a pitchmatching problem with multiple grid constraints. An algorithm for solving this problem is constructed as an extension of conventional pitchmatching algorithms. The computational complexity is also discussed in comparison with a conventional naive algorithm. Finally, examples and application results to realistic layouts are presented.

This paper presents a mathematical formulation of a data path allocation and floorplanning problem using the mixed integer linear programming, and shows some experimental results. We assume that a data flow graph and the scheduled result are given in advance. The chip area and total wire length are used for the quality measures of the solution for the problem. This method is applied to some examples, and compared with the other method reported previously in the points of the solution and computation time.

This paper describes two algorithms based on Boolean formulations aimed at solving scheduling, the main subtask of data path synthesis. Using the first algorithm, all possible scheduling solutions can be obtained under a time constraint, something that cannot be accomplished with other available systems. The second algorithm produces feasible solutions without increasing the complexity of the problem. The effectiveness of the algorithms is confirmed through experimental studies.