problem on interval scheduling and interval partitioning

(Latest Revision: Feb 08, 2021)

Problem on Interval Scheduling and Interval Partitioning

An Example Problem

We begin with a list of intervals:

(13, 15)
(17, 22)
(12, 17)
( 9, 10)
(12, 15)
( 9, 11)
(11, 14)
(10, 15)
(16, 19)
(12, 14)
(18, 23)
( 8, 11)

Here is the same list of intervals (stably) sorted by increasing finish time:

( 9, 10)
( 9, 11)
( 8, 11)
(11, 14)
(12, 14)
(13, 15)
(12, 15)
(10, 15)
(12, 17)
(16, 19)
(17, 22)
(18, 23)

Here is the list sorted by finish time, with letters next to the intervals chosen by the "Scheduling Intervals" algorithm:

( 9, 10)   A
( 9, 11) 
( 8, 11)
(11, 14)   B
(12, 14)
(13, 15)
(12, 15)
(10, 15)
(12, 17)
(16, 19)   C
(17, 22)
(18, 23)

Here is what you get when you take the original list of intervals and sort it (stably) by increasing start time:

( 8, 11)
( 9, 10)
( 9, 11)
(10, 15)
(11, 14)
(12, 17)
(12, 15)
(12, 14)
(13, 15)
(16, 19)
(17, 22)
(18, 23)

Here is the solution chosen by the Interval Partitioning Algorithm (the version that uses a priority queue):

Classroom A:  (8, 11) (11, 14) (16, 19)
Classroom B:  (9, 10) (10, 15) (18, 23)
Classroom C:  (9, 11) (12, 17)
Classroom D:  (12, 15)
Classroom E:  (12, 14) (17, 22)
Classroom F:  (13, 15)

The Assignment

Using the input below, work the same kind of problem as the example above illustrates.

(08, 13)
(16, 23)
(20, 26)
(07, 14)
(24, 27)
(21, 25)
(15, 19)
(03, 10)
(11, 17)
(00, 05)
(12, 18)
(06, 22)
(01, 04)
(02, 09)

Directions For Submitting Solution:

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CS 4440 Interval Scheduling Problem
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