## Operation Research Set 2

Free Online Best Operation Research MCQ Questions for improve your basic knowledge of Operation Research. This Operation Research set 2 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 |

The purpose of the stepping-stone method is to ____

A | develop the initial solution to the transportation problem |

B | assist one in moving from an initial feasible solution to the optimal solution |

C | determine whether a given solution is feasible or not |

D | identify the relevant costs in a transportation problem. |

Question 2 |

Consider the linear equation 2 x1 + 3 x2 -4 x3 + 5 x4 = 10 How many basic and non-basic variables are defined by this equation?

A | One variable is basic, three variables are non-basic |

B | Two variables are basic, two variables are non-basic |

C | Three variables are basic, one variable is non-basic |

D | All four variables are basic |

Question 3 |

Identify the type of the feasible region given by the set of inequalities
x -y <= 1
x -y >= 2
where both x and y are positive

A | A triangle |

B | A rectangle |

C | An unbounded region |

D | An empty region |

Question 4 |

Both transportation and assignment problems are members of a category of LP problems called___

A | shipping problems |

B | logistics problems |

C | generalized flow problems |

D | network flow problems |

Question 5 |

In graphical representation the bounded region is known as _________ region

A | Solution |

B | basic solution |

C | feasible solution |

D | optimal |

Question 6 |

Select the correct statement

A | EOQ is that quantity at which price paid by the buyer is minimum |

B | If annual demand doubles with all other parameters remaining constant, the Economic Order Quantity is doubled |

C | Total ordering cost equals holding cost |

D | Stock out cost is never permitted |

Question 7 |

Service mechanism in a queuing system is characterized by ______________

A | customers behavior |

B | servers behavior |

C | customers in the system |

D | server in the system |

Question 8 |

Which technique is used in finding a solution for optimizing a given objective, such as profit maximization or cost reduction under certain constraints?

A | Quailing Theory |

B | Waiting Line |

C | Both A and B |

D | Linear Programming |

Question 9 |

In program evaluation review technique network each activity time assume a beta distribution because______________

A | it is a unimodal distribution that provides information regarding the uncertainty of time estimates of activities |

B | it has got finite non-negative error |

C | it need not be symmetrical about model value |

D | the project is progressing well |

Question 10 |

The net cost of shipping one unit on a route not used in the current transportation problem solution is called the___

A | change index |

B | new index |

C | MODI index |

D | Improvement index |

Question 11 |

If any value in XB column of final simplex table is negative, then the solution is ______________

A | infeasible |

B | infeasible |

C | bounded |

D | no solution |

Question 12 |

Graphical optimal value for Z can be obtained from____

A | Corner points of feasible region |

B | corner points of the solution region |

C | Both a and b |

D | none of the above |

Question 13 |

With the transportation technique, the initial solution can be generated in any fashion one chooses. The only restriction is that ___

A | the edge constraints for supply and demand are satisfied. |

B | the solution is not degenerate. |

C | the solution must be optimal |

D | one must use the northwest-corner method. |

Question 14 |

Minimize Z = ______________

A | –maximize(Z) |

B | -maximize(-Z) |

C | maximize(-Z) |

D | none of the above |

Question 15 |

In graphical method the restriction on number of constraint is __________

A | 2 |

B | not more than 3 |

C | 3 |

D | none of the above |

Question 16 |

The difference between total float and head event slack is ______________

A | free float |

B | independent float |

C | interference float |

D | linear float |

Question 17 |

To proceed with the Modified Distribution method algorithm for solving an transportation problem, the number of dummy allocations need to be added are______________

A | n |

B | n-1 |

C | 2n-1 |

D | n-2 |

Question 18 |

The objective of network analysis is to______________

A | maximize total project duration |

B | minimize total project duration |

C | minimize toal project cost |

D | minimize production delays, interruption and conflicts |

Question 19 |

A feasible solution to a linear programming problem ______________

A | must satisfy all the constraints of the problem simultaneously |

B | need not satisfy all of the constraints, only some of them |

C | must be a corner point of the feasible region. |

D | must optimize the value of the objective function |

Question 20 |

What is the difference between minimal cost network flows and transportation problems?

A | The minimal cost network flows are special cases of transportation problems |

B | The transportation problems are special cases of the minimal cost network flows |

C | There is no difference |

D | The transportation problems are formulated in terms of tableaus, while the minimal cost network flows are formulated in terms of graphs |

Question 21 |

Consider the given vectors: a(2,0), b(0,2), c(1,1), and d(0,3). Which of the following vectors are linearly independent?

A | a, b, and c are independent |

B | a, b, and d are independent |

C | a and c are independent |

D | b and d are independent |

Question 22 |

For any primal problem and its dual______________

A | optimal value of objective function is same |

B | dual will have an optimal solution iff primal does too |

C | primal will have an optimal solution iff dual does too |

D | both primal and dual cannot be infeasible |

Question 23 |

_____occurs when the number of occupied squares is less than the number of rows plus

A | Degeneracy |

B | Infeasibility |

C | Unboundedness |

D | Unbalance |

Question 24 |

Hungarian Method is used to solve____

A | transportation problem |

B | travelling salesman problem |

C | A LP problem |

D | Both a & b |

Question 25 |

The objective function for a minimization problem is given by
z = 2 x1 -5 x2 + 3 x3
The hyperplane for the objective function cuts a bounded feasible region in the space (x1,x2,x3). Find the direction vector d, where a finite optimal solution can be reached.

A | d(2,-5,3) |

B | d(-2,5,-3) |

C | d(2,5,3) |

D | d(-2,-5,-3) |

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