مرتضي صاحب الزماني 1 Hierarchical Tree Based Methods A floorplan is said to be hierarchical of order k if it can be obtained by recursively partitioning.

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مرتضي صاحب الزماني 1 Hierarchical Tree Based Methods A floorplan is said to be hierarchical of order k if it can be obtained by recursively partitioning a rectangle into at most k parts Physical hierarchy can be generated by –top-down partitioning, or –bottom-up clustering

مرتضي صاحب الزماني 2 A Floorplan with Slicing Tree FGHIDEA 8 BC A B C DE FG HI

مرتضي صاحب الزماني 3 A Non-slicing Floorplan Example A D E B C

مرتضي صاحب الزماني 4 Floorplan Tree

مرتضي صاحب الزماني 5 Simulated Annealing Approach Wong, Leong, Liu, “Simulated Annealing for VLSI Design”, pp , Kluwer academic Publishers, 1988.

مرتضي صاحب الزماني 6 Solution Representation

مرتضي صاحب الزماني 7 Solution Representation

مرتضي صاحب الزماني 8 Normalized Polish Expression

مرتضي صاحب الزماني 9 Neighborhood Structure

مرتضي صاحب الزماني 10 Effects of Permutation