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AE-JE (ME) II Industrial Engineering Quiz-3

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Question 1

Consider the following statements in respect of the assignment method of optimization:
1). The matrix format of the method must be a square matrix.
2). The same type of rating has to be given to the performance of each pairing.
Which of these above is/are correct?

Question 2

Consider the following methods associated with the transportation problem:

1. Vogel’s approximation method.

2. North-west corner method

3. Modified distribution method (MODI Method)

Which of the following tests is/are used to check optimality test _________?

Question 3

Consider the following statements
The assignment problem is seen to be the special case of the transportation problem in which
1). m = n
2). all Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Industrial-Engineering_files\image150.png
3). Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Industrial-Engineering_files\image151.png
(The symbols have the usual meaning)
Which of these statements are correct?

Question 4

In assignment problem for variable Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Industrial-Engineering_files\image152.png.
1. Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Industrial-Engineering_files\image153.png
2. Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Industrial-Engineering_files\image154.png
3. Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Industrial-Engineering_files\image155.png
Which of these statements are correct?

Question 5

Consider the following statements:
1). For the application of optimality test in case of transportation model, the number of allocations should be equal to m + n, where m is the number of rows and n is the number of columns of the matrix.
2). Transportation problem is a special case of a linear programming problem.
3). In case of assignment problem the first step is to make a square matrix by adding a dummy row or a dummy column.
Which of these statements is/are correct?

Question 6

A basic feasible solution of an m×n transportation problem is said to be non degenerate if the allocations are in independent positions and starting basic feasible solution contains exactly following number of individual allocations

Question 7

In order for a transportation matrix which has six rows and four columns not to degenerate, what is the number of occupied cells in the matrix?

Question 8

Which one of the following is not the solution method of transportation problems?

Question 9

In a transportation problem, how is an unacceptable transportation route handled?

Question 10

Which of the following method is NOT used for obtaining the initial basic feasible solution in transportation problems?
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Mar 4AE & JE Exams