Lecture26 - CSE 421 Algorithms Richard Anderson Lecture 26...

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CSE 421 Algorithms Richard Anderson Lecture 26 Network Flow Applications
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Today’s topics More network flow reductions Airplane scheduling Image segmentation Baseball elimination
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Airplane Scheduling Given an airline schedule, and starting locations for the planes, is it possible to use a fixed set of planes to satisfy the schedule. Schedule [segments] Departure, arrival pairs (cities and times) Approach Construct a circulation problem where paths of flow give segments flown by each plane
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Example Seattle->San Francisco, 9:00 – 11:00 Seattle->Denver, 8:00 – 11:00 San Francisco -> Los Angeles, 13:00 – 14:00 Salt Lake City -> Los Angeles, 15:00-17:00 San Diego -> Seattle, 17:30-> 20:00 Los Angeles -> Seattle, 18:00->20:00 Flight times: Denver->Salt Lake City, 2 hours Los Angeles->San Diego, 1 hour Can this schedule be full filled with two planes, starting from Seattle?
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Compatible segments Segments S 1 and S 2 are compatible if the same plane can be used on S 1 and S 2
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