## Operation Research Set 3

Free Online Best Operation Research MCQ Questions for improve your basic knowledge of Operation Research. This Operation Research set 3 test that contains 25 Multiple Choice Questions with 4 options. You have to select the right answer to a question.

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Question 1 |

When the allocations of a transportation problem satisfy the rim condition (m + n –1) the solution is called __________ solution

A | non-degenerate |

B | degenerate |

C | unbounded |

D | infeasible |

Question 2 |

When a maximization assignment problem is converted in minimization problem, the resulting matrix is called __________

A | Cost matrix |

B | Profit matrix |

C | Regret matrix |

D | Dummy matrix |

Question 3 |

The assignment problem__

A | Requires that only one activity be assigned to each resource |

B | Is a special case of transportation problem |

C | Can be used to maximize resources |

D | All of the above |

Question 4 |

When a particular assignment in the given problem is not possible or restricted as a condition, it is called a __________ problem

A | infeasible |

B | degenerate |

C | unbalanced |

D | prohibited |

Question 5 |

The procedure used to solve assignment problems wherein one reduces the original assignment costs to a table of opportunity costs is called____

A | stepping-stone method |

B | matrix reduction |

C | MODI method |

D | northwest reduction |

Question 6 |

If M + N –1 = Number of allocations in transportation, it means _________. (Where ‘M’ is number ofrows and ‘N’ is number of columns)

A | There is no degeneracy |

B | Problem is unbalanced |

C | Problem is degenerate |

D | Solution is optimal |

Question 7 |

An optimal assignment requires that the maximum number of lines which can be drawn through squares with zero opportunity cost should be equal to the number of ______________.

A | rows or columns |

B | rows and columns. |

C | rows+columns- 1 |

D | rows-columns. |

Question 8 |

Which of the following is used to come up with a solution to the assignment problem?

A | MODI method |

B | northwest corner method |

C | stepping-stone method |

D | Hungarian method |

Question 9 |

Which of the following considers difference between two least costs for each row and column while finding initial basic feasible solution in transportation?

A | North west corner rule |

B | Least cost method |

C | Vogel’s approximation method |

D | Row minima method |

Question 10 |

____or____are used to "balance" an assignment or transportation problem

A | Destinations; sources |

B | Units supplied; units demanded |

C | Dummy rows; dummy columns |

D | Large cost coefficients; small cost coefficients |

Question 11 |

The extra row or column which is added to balance an assignment problem is called __________

A | regret |

B | epsilon |

C | dummy |

D | extra |

Question 12 |

In a transportation problem, the method of penalties is called __________ method.

A | least cost |

B | south east corner |

C | Vogel’s approximation |

D | north west corner |

Question 13 |

Optimal solution of an assignment problem can be obtained only if_____

A | Each row & column has only one zero element |

B | Each row & column has at least one zero element |

C | The data is arrangement in a square matrix |

D | None of the above |

Question 14 |

When the total of allocations of a transportation problem match with supply and demand values, the solution is called __________ solution

A | non-degenerate |

B | degenerate |

C | feasible |

D | infeasible |

Question 15 |

An assignment problem can be viewed as a special case of transportation problem in which the capacity from each source is and the demand at each destination is___

A | 1; 1 |

B | Infinity; infinity |

C | 0; 0 |

D | 1000; 1000 |

Question 16 |

In a transportation problem, we must make the number of equal____

A | destinations; sources |

B | units supplied; units demanded |

C | .columns; rows |

D | positive cost coefficients; negative cost coefficients |

Question 17 |

The method of solution of assignment problems is called __________ method

A | NWCR |

B | VAM |

C | LCM |

D | Hungarian |

Question 18 |

Which of these statements about the stepping-stone method is best?

A | dummy source and destination must be added if the number of rows plus columns minus 1 is not equal to the number of filled squares |

B | Only squares containing assigned shipments can be used to trace a path back to an empty square. |

C | An improvement index that is a net positive means that the initial solution can be improved |

D | Only empty squares can be used to trace a path back to a square containing an assigned shipment |

Question 19 |

If the number of rows and columns in an assignment problem are not equal than it is called __________ problem

A | prohibited |

B | infeasible |

C | unbounded |

D | unbalanced |

Question 20 |

In assignment problem of maximization, the objective is to maximise____

A | Profit |

B | optimization |

C | cost |

D | None of the above |

Question 21 |

The equation Ri + Kj = Cij is used to calculate __________

A | an improvement index for the stepping-stone method |

B | the opportunity costs for using a particular route |

C | the MODI cost values (Ri, Kj) |

D | the degeneracy index |

Question 22 |

When there is a degeneracy in the transportation problem, we add an imaginary allocation called __________ in the solution

A | dummy |

B | penalty |

C | epsilon |

D | regret |

Question 23 |

The method of finding an initial solution based upon opportunity costs is called

A | the northwest corner rule |

B | Vogel's approximation |

C | Johanson's theorem |

D | Flood's technique |

Question 24 |

If in an assignment problem, number of rows is not equal to number of columns then __________

A | Problem is degenerate |

B | Problem is unbalanced |

C | It is a maximization problem |

D | Optimal solution is not possible |

Question 25 |

To find initial feasible solution of a transportation problem the method which starts allocation from the lowest cost is called ________ method

A | north west corner |

B | least cost |

C | south east corner |

D | Vogel’s approximation |

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