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Branch & Bound Branch & Bound

Branch & Bound - PowerPoint Presentation

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Uploaded On 2016-05-17

Branch & Bound - PPT Presentation

3 4 8 7 12 10 9 10 3 6 10 8 2 7 0 0 UPPER LOWER 0 Branch amp Bound 3 4 8 7 12 10 9 10 3 6 10 8 ID: 324060

amp bound branch upper bound amp upper branch 032 city tours 013 feasible 012 01230 031 partial visit tour

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Branch & Bound

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Branch & Bound

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Branch & Bound

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Branch & Bound

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Branch & BoundSlide6

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Branch & BoundSlide7

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Branch & BoundSlide8

Tasks are created

dynamically

Upper bound is sharedLower bound is localHalve set of feasible tours:

Explore only those paths that visit city 1 before city 2.

Branch & BoundIllustrated on Traveling Salesman ProblemSlide9

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Partial tour 0, 3, 2

with cost lower bound =

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LEGEND

TSP instance

Search Tree

Halve the set offeasible tours:Only visit tours where city 1 occurs before city 2.Slide10

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Partial tour 0, 3, 2

with cost lower bound =

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LEGENDupper bound = 

TSP instance

Search Tree