Optimal Solution for VLSI Physical Design Automation Using Hybrid Genetic Algorithm

<table>Condition <a href="https://static.hindawi.com/articles/mpe/volume-2014/809642/figures/#condition1">1</a>  (<svg height="11.225" id="M268" style="vertical-align:-0.51414pt" version="1.1" viewbox="0 0 154.8875 11.225" width="154.8875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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q-4 71 -28 134q17 33 42 46q24 -12 42 -46q-24 -63 -28 -134q36 23 56.5 41.5t45.5 49.5q36 2 61 -13q0 -28 -19 -59q-65 -10 -130 -43q65 -33 130 -43q19 -31 19 -59z" id="x2217"></path></g><g transform="matrix(.017,-0,0,-.017,33.907,10.963)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g><g transform="matrix(.017,-0,0,-.017,45.84,10.963)"><path d="M535 230h-212v-233h-58v233h-213v50h213v210h58v-210h212v-50z" id="x2B"></path></g><g transform="matrix(.017,-0,0,-.017,59.592,10.963)"><path d="M285 378v-2q65 -13 102 -54.5t37 -97.5q0 -57 -30.5 -104.5t-74 -75t-85.5 -42t-72 -14.5q-31 0 -59.5 11t-40.5 23q-19 18 -16 36q1 16 23 33q13 10 24 0q58 -51 124 -51q55 0 88 40t33 112q0 64 -39 96.5t-88 32.5q-29 0 -64 -11l-6 29q77 25 118 57.5t41 84.5
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</svg>).</table>

Mathematical Problems in Engineering

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Figure 8

Figure 8: Optimal Solution for VLSI Physical Design Automation Using Hybrid Genetic Algorithm 