Download e-book for kindle: An Introduction to VLSI Physical Design by Majid Sarrafzadeh

By Majid Sarrafzadeh

ISBN-10: 0070571945

ISBN-13: 9780070571945

This article treats the actual layout of very huge scale built-in circuits progressively and systematically. It examines the layout challenge and the layout approach with the purpose of comparing the potency of automated layout structures via algorithmic research. The format challenge is seen as a suite of sub-problems that are separately solved successfully after which successfully mixed. Initially,the textual content studies VLSI expertise after which examines structure ideas and telephone new release concepts.

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Find an optimal solution to an instance of the two-dimensional bin packing problem (see the previous exercise) assuming : n = 10, A = 6, B = 4, (a 1, bi) = (2, 4), (a2, b2) = (2, 3), (a3, b3) = (1, 2), (aa, b4) = (5, 2), (a5, b5) = (4, 3), (ao, bb) = (3, 3), (a7, b7) = (1, 1), (a8, b8) = (5, 3), (a9, b9) = (2, 4), (alo, b1o) _ (3, 5) . Solve the same problem with A = 5, B = 4 . 15 . Design a greedy algorithm for solving a restricted class of the two-dimensional bin packing problem where A = B and a, = b, for all i .

6c . We finally reach a cut with the ratio 3/(12 x 12) = 48, which is the optimal ratio cut in this example . • Group swapping . After the iterative shifting is complete, a local minimum is reached because a single node movement from its current subset to the other cannot reduce the ratio value . A group swapping is utilized to make further improvement. The ratio gain r (i) of a node i is defined as the decrease in ratio if node i were to move from its current subset to the other . The ratio gain is not defined for the two seeds s and t .

Once an initial partitioning is made, repeat the shifting operation in the opposite direction (that is, start moving the nodes from X to Y) to achieve further improvement . Once X = {s}, switch direction again and move nodes from Y to X . The same procedure is applied again, starting with the best partition obtained in the previous application of iterative shifting . 6 is a two-terminal net example to show the effect of iterative shifting operations after the initialization phase . Suppose that two seeds s and t have been chosen .

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An Introduction to VLSI Physical Design by Majid Sarrafzadeh


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