Discuss some real world problems, to which the techniques given below are applicable
(i) Divide & Conquer
(ii) Dynamic Programming
(iii) Greedy Approach
Interval scheduling is a class of problems in computer science, particularly in the area of algorithm design. The problems consider a set of tasks. Each task is represented by an interval describing the time in which it needs to be executed. For instance, task A might run from 2:00 to 5:00, task B might run from 4:00 to 10:00 and task C might run from 9:00 to 11:00. A subset of intervals is compatible if no two intervals overlap. For example, the subset {A,C} is compatible, as is the subset {B}; but neither {A,B} nor {B,C} are compatible subsets, because the corresponding intervals within each subset overlap.
The interval scheduling maximization problem (ISMP) is to find a largest compatible set – a set of non-overlapping intervals of maximum size. The goal here is to execute as many tasks as possible.
