Introduction to algorithms
Wire routing by optimizing channel assignment within large apertures
DAC '71 Proceedings of the 8th Design Automation Workshop
Simultaneous escape routing and layer assignment for dense PCBs
Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design
An Optimal Solution for the Channel-Assignment Problem
IEEE Transactions on Computers
Optimal bus sequencing for escape routing in dense PCBs
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
Optimal layer assignment for escape routing of buses
Proceedings of the 2009 International Conference on Computer-Aided Design
A Length-Matching Routing Algorithm for High-Performance Printed Circuit Boards
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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It is known that the increase of the pin count makes escape routing difficult in PCB designs. Based on the optimal feature of a left-edge algorithm for interval packing, a modified left-edge algorithm is proposed to optimally solve the layer assignment problem for bus-oriented escape routing. Firstly, a set of assignment constraints is generated for the overlapping relations of the left or right projection intervals and the crossing relations of all the buses between two adjacent pin arrays. With the consideration of the assignment constraints, a modified left-edge algorithm is further proposed to minimize the number of the used layers and assign all the buses onto the used layers. Compared with the Kong's heuristic algorithm [4], it is proved that our proposed optimal algorithm guarantees that the number of the used layers is minimized and the experimental results show that our proposed algorithm reduces 8.8% of the number of the used layers for eight tested examples on the average. Compared with the Yan's O(n^2^.^3^8) optimal algorithm [5], it is proved that our proposed optimal algorithm has better time complexity in O(n^2) time and the experimental results show that our proposed algorithm reduces 46.5% of CPU time for eight tested examples on the average.