Problem Description Suppose that you are scheduling a room. You are given a group of activities each of which has a start and stop time. Two activities are compatible if they do not overlap (one activity finishes before another one starts). For example, in the following activities, activity A is compatible with activities B and D but not activity C: Activity Start Time Stop time A 1 2. B 2 5 1 3 D 6 The room has a start time and an end time in which it is available. Your goal is to write a recursive method to schedule compatible activities that result in the maximum usage of the room. The usage of the room is defined as the total duration of the scheduled activities, that is, the sum of (stop time - start time) for all the activities scheduled to run in the room. For example suppose that the start time and end time in which the room is available is (1,7] for the above table. Hence, the possible schedules are: 1. Activities A, B,D: with room usage = (2-1)+(5-2) +(6-5) = 5 2. Activities C, D: with room usage = (3-1)+(6-5) = 2 3. Activities A,D: with room usage (5-2)+(6-5) =4 4. Activities A, B: with room usage (2-1)+(5-2)= 4 5. Activities B, D: with room usage (5-2)+(6-5) = 4 Therefore, the set of activities (A,B,D} gives the optimal schedule with the maximum room usage.
Problem Description Suppose that you are scheduling a room. You are given a group of activities each of which has a start and stop time. Two activities are compatible if they do not overlap (one activity finishes before another one starts). For example, in the following activities, activity A is compatible with activities B and D but not activity C: Activity Start Time Stop time A 1 2. B 2 5 1 3 D 6 The room has a start time and an end time in which it is available. Your goal is to write a recursive method to schedule compatible activities that result in the maximum usage of the room. The usage of the room is defined as the total duration of the scheduled activities, that is, the sum of (stop time - start time) for all the activities scheduled to run in the room. For example suppose that the start time and end time in which the room is available is (1,7] for the above table. Hence, the possible schedules are: 1. Activities A, B,D: with room usage = (2-1)+(5-2) +(6-5) = 5 2. Activities C, D: with room usage = (3-1)+(6-5) = 2 3. Activities A,D: with room usage (5-2)+(6-5) =4 4. Activities A, B: with room usage (2-1)+(5-2)= 4 5. Activities B, D: with room usage (5-2)+(6-5) = 4 Therefore, the set of activities (A,B,D} gives the optimal schedule with the maximum room usage.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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