lec03 - 6.006- Introduction to AlgorithmsLecture 3 Prof....

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Unformatted text preview: 6.006- Introduction to AlgorithmsLecture 3 Prof. Piotr IndykOverview Runway reservation system: Definition How to solve with lists Binary Search Trees Operations Readings: CLRS 10, 12.1-3 10 12 5 1 6 7 http://izismile.com/tags/Gibraltar/ Runway reservation system Problem definition: Single (busy) runway Reservations for landings maintain a set of future landing times a new request to land at time t add tto the set if no other landings are scheduled within < 3 minutes from t when a plane lands, removed from the set Runway reservation system Example R = (41, 46, 49.1, 56) requests for time: 44 => reject (46 in R) 53 => ok 20 => not allowed (already past) Ideas for efficient implementation ? 37 (now) 41 46 49.1 56 time (mins) Some options: Keep Ras an unsorted list Bad: takes linear time to search for collisions Good: can insert tin O(1) time Keep Ras a sorted array (resort after each insertion) Bad:...
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lec03 - 6.006- Introduction to AlgorithmsLecture 3 Prof....

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