Lecture25 - Today's topics CSE 421 Algorithms Richard...

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CSE 421 Algorithms Richard Anderson Lecture 25 Open Pit Mining Today’s topics • Open Pit Mining Problem • Task Selection Problem • Reduction to Min Cut problem S, T is a cut if S, T is a partition of the vertices with s in S and t in T The capacity of an S, T cut is the sum of the capacities of all edges going from S to T Open Pit Mining • Each unit of earth has a profit (possibly negative) • Getting to the ore below the surface requires removing the dirt above • Test drilling gives reasonable estimates of costs • Plan an optimal mining operation Mine Graph -3 -10 -4 3 -2 -3 -1 8 -2 4 3 -1 -7 -10 -1 Determine an optimal mine -10 -10 -10 -10 -10 -5 -1 -10 -10 -10 -10 -3 -3 4 6 -10 -10 -4 -3 7 8 1 -10 -4 3 -2 6 4 -10 2 4 -10 -3 4 -10 -4 4 3 -10 -10 -10 3 -3 -10 -10 -10 -10 -1 -10 -10 -10 -10 -10 -7 Generalization • Precedence graph G=(V,E) • Each v in V has a profit p(v) • A set F if feasible if when w in F, and (v,w) in E, then v in F. • Find a feasible set to
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This note was uploaded on 02/25/2012 for the course CSE 421 taught by Professor Richardanderson during the Fall '06 term at University of Washington.

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Lecture25 - Today's topics CSE 421 Algorithms Richard...

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