It is required to distribute courses to 5 assistants in the industrial engineering department. There are 10 courses in total. These assistants have experience in some courses. It is more beneficial for students to take the course in which the assistant is experienced. The table with the information of the five assistants about the courses and the weekly load of these courses in hours is given below. Formulate an IP that determines the distribution of lessons with a minimum weekly hour load, with each assistant responsible for at least one lesson. The course will either be given to an assistant or not given at all. The load of the course cannot be shared. Solve by Gams.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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9. It is required to distribute courses to 5 assistants in the industrial engineering department. There
are 10 courses in total. These assistants have experience in some courses. It is more beneficial
for students to take the course in which the assistant is experienced. The table with the
information of the five assistants about the courses and the weekly load of these courses in
hours is given below. Formulate an IP that determines the distribution of lessons with a
minimum weekly hour load, with each assistant responsible for at least one lesson. The course
will either be given to an assistant or not given at all. The load of the course cannot be shared.
Solve by Gams.
Courses
Assistants
1
2 3
456 7 8 9
10
1
X
2
X
3
4
X
5
Weekly Load
1
23 2 1
1
6 3
2
(hr)
Transcribed Image Text:9. It is required to distribute courses to 5 assistants in the industrial engineering department. There are 10 courses in total. These assistants have experience in some courses. It is more beneficial for students to take the course in which the assistant is experienced. The table with the information of the five assistants about the courses and the weekly load of these courses in hours is given below. Formulate an IP that determines the distribution of lessons with a minimum weekly hour load, with each assistant responsible for at least one lesson. The course will either be given to an assistant or not given at all. The load of the course cannot be shared. Solve by Gams. Courses Assistants 1 2 3 456 7 8 9 10 1 X 2 X 3 4 X 5 Weekly Load 1 23 2 1 1 6 3 2 (hr)
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