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Transportation Problem Assignment for Operations Research Students, Exercises of Mathematics

An assignment for the operations research course (mth601) focusing on the transportation problem. The assignment includes instructions, due date, and three questions. The first question investigates how an optimal solution to a transportation problem changes when a constant is added to each cost in one row or one column. The second question involves finding the allocation with minimum transportation cost for a company with three plants and three warehouses. The third question requires solving a problem to minimize the total cost for a manufacturing company assigning 6 machines to 5 jobs. Students are expected to have a good understanding of the concepts learned in lectures 31-37 and use recommended books for clarification.

Typology: Exercises

2011/2012

Uploaded on 08/03/2012

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Assignment: # 05 (Spring-2012)
Mth601 (Operations Research)
Lecture: 31– 37
Total Marks = 30
Due date: 5th July, 2012
INSTRUCTIONS
Please read the following instructions before attempting to solve this assignment
1. In order to attempt this assignment you should have full command on
Lecture # 31 to Lecture # 37
2. Try to get the concepts, consolidate your concepts and ideas from these questions
which you learn in Lecture # 31 to Lecture # 37
3. You should concern recommended books for clarify your concepts as handouts
are not sufficient.
4. Try to make solution by yourself and protect your work from other students. If we
found the solution files of some students are same then we will reward zero marks
to all those students.
5. You are supposed to submit your assignment in Word format any other formats
like scan images, PDF format etc will not be accepted and we will give zero
marks to these assignments.
6. Assignments through e-mail will be acceptable after (before uploading the
solution file) due date but with deduction of 30% of obtained marks.
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Download Transportation Problem Assignment for Operations Research Students and more Exercises Mathematics in PDF only on Docsity!

Assignment: # 05 (Spring-2012) Mth601 (Operations Research) Lecture: 31– 37 Total Marks = 30

Due date: 5

th

July, 2012

INSTRUCTIONS

Please read the following instructions before attempting to solve this assignment

1. In order to attempt this assignment you should have full command on Lecture # 31 to Lecture # 37 2. Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in Lecture # 31 to Lecture # 37 3. You should concern recommended books for clarify your concepts as handouts are not sufficient. 4. Try to make solution by yourself and protect your work from other students. If we found the solution files of some students are same then we will reward zero marks to all those students. 5. You are supposed to submit your assignment in Word format any other formats like scan images, PDF format etc will not be accepted and we will give zero marks to these assignments. 6. Assignments through e-mail will be acceptable after (before uploading the solution file) due date but with deduction of 30% of obtained marks.

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How is an optimal solution to a Transportation problem changed if a constant  is added

to each cost in (i) one row say r th row (ii) one column say k th column? By how much is the optimal value of the objective function changed?

2) A company has three plants A,B and C, and three ware houses X, Y and Z. The number of units available at the plants is 60, 70 and 80 and the demand at X, Y and Z are 50, and 80 respectively. The unit cost of the transportation is given as follow:

Find the allocation so that the total transportation cost is minimum.

3) Solve the following problem whose objective is to minimize the total cost, when a manufacturing company has to face assigning 6 different machines to 5 different jobs.

Jobs/Machines 1 2 3 4 5 A 2.5 5 1 6 1 B 2 5 1.5 7 3 C^3 6.5^2 8 D 3.5 7 2 9 4. E 4 7 3 9 6 F 6 9 5 10 6

X Y Z

A 8 7 3

B 3 8 9

C 11 3 5

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