Description : Consider the following conditions : (a) The solution must be feasible, i.e. it must satisfy all the supply and demand constraints. (b) The number of positive allocations must be equal to m+n-1, where m is the number of rows and n is ... B) (a) and (c) only (C) (b) and (c) only (D) (a), (b) and (c)
Last Answer : (D) (a), (b) and (c)
Description : A basic feasible solution to a m-origin, n-destination transportation problem is said to be ................... if the number of positive allocations are less than m + n – 1. (A) degenerate (B) non-degenerate (C) unbounded (D) unbalanced
Last Answer : (A) degenerate
Description : Initial feasible solution to a transportation problem arrived through which of the following method is very near to the optimal solution: a. NWCM b. LCM c. VAM d. None of these
Last Answer : c. VAM
Description : Initial feasible solution to a transportation Problem can be found out by ......................... a. VAM b. MODI Method c. Both a and b d. None of these
Last Answer : a. VAM
Description : At which of the following stage(s), the degeneracy do not occur in transportation problem? (m, n represents number of sources and destinations respectively) (a) While the values of dual variables ui and vj cannot be computed. (b) While ... and (d) (3) (a) and (d) (4) (a), (b), (c) and (d)
Last Answer : (3) (a) and (d)
Description : Which of the following is a characteristic of a dual problem: a. Dual of a dual is primal b. If dual has a finite optimal solution, then the primal also has finite optimal solution c. If dual has no feasible solution, then the primal also has no feasible solution d. All of the above
Last Answer : d. All of the above
Description : When at least one of the basic variables is zero, then the basic feasible solution to a Linear Programming Problem is said to be .............................. a. Infeasible b. Unbounded c. Degenerate d. Non-degenerate
Last Answer : c. Degenerate
Description : If the feasible region of a linear programming problem is empty, the solution is .................... a. Unbounded b. Infeasible c. Infeasible d. Alternative
Last Answer : b. Infeasible
Description : For a minimisation Transportation Problem, the objective is to minimise: a. Profit b. Cost c. Solution d. None of these
Last Answer : b. Cost
Description : The dummy source/destination in a transportation problem is added to ........................ a. Satisfy rim constraints b. Prevent solution from becoming degenerate c. Ensure total cost does not exceed a limit d. None of the above
Last Answer : a. Satisfy rim constraints
Description : MODI Method to test the optimality of a feasible solution to TP is also called............... a. Stepping Stone Method b. u. v. Method c. both a and b d. none of these
Last Answer : b. u. v. Method
Description : Matrix Minima Method to find initial feasible solution to a TP is also called ....................... a. NWCM b. LCM c. VAM d. None of these
Description : A LPP model doesnot contain: a. Decision b. Constraints c. Feasible solution d. Spread Sheet
Last Answer : d. Spread Sheet
Description : Operations Research techniques help to find ................... solution. a. Feasible solution b. Infeasible solution c. Optimal solution d. None of these
Last Answer : c. Optimal solution
Description : An optimal solution is considered as the ................... among the feasible solutions. a. Worst b. Best c. Ineffective d. None of these
Last Answer : b. Best
Description : If no. of rows are not equal to number of columns and the matrix elements are profit elements then the problem is: a. Balanced and Maximization Transportation problem b. ... Transportation problem c. Balanced and Maximization Assignment problem d. Unbalanced and Maximization Assignment problem
Last Answer : a. Balanced and Maximization Transportation problem
Description : If no. of rows are equal to number of columns and the matrix elements are Time elements then the problem is: a. Balanced and Minimization Transportation problem b. ... Transportation problem c. Balanced and Minimization Assignment problem d. Unbalanced and Minimization Assignment problem
Last Answer : c. Balanced and Minimization Assignment problem
Description : An assignment problem is a special case of transportation problem, where a. Number of rows equals number of columns b. All rim conditions are 1 c. Values of each decision variable is either 0 or 1
Last Answer : D.variable is either 0 or 1
Description : An assignment problem is considered as a particular case of a transportation problem because a. The number of rows equals columns b. All xij = 0 or 1 c. All rim conditions are 1 d. All of the above
Description : In Transportation Problem, LCM stands for ............................. a. Lowest Common Multiplier b. Least Cost Method c. Lowest Cell Method d. None of these
Last Answer : b. Least Cost Method
Description : In Transportation Problem, NWCM stands for ............................. a. North West Cost Method b. Net Worth Corner Method c. North West Corner Method d. None of these
Last Answer : c. North West Corner Method
Description : A Transportation Problem is said to be unbalanced when total supply is not equal to ............ a. Total cost b. Total demand c. Both a and b d. None of these
Last Answer : b. Total demand
Description : The Hungarian method for solving an assignment problem can also be used to solve: a. A transportation problem b. A travelling salesman problem c. A linear programming problem d. Both a and b
Last Answer : b. A travelling salesman problem
Description : The assignment problem is: a. Requires that only one activity be assigned to each resource b. Is a special case of transportation problem c. Can be used to maximise resource d. All the above
Last Answer : d. All the above
Description : An assignment problem can be solved by ......................... a. Simplex method b. Transportation method c. Both a and b d. None of these
Last Answer : c. Both a and b
Description : While solving a LPP graphically, the area bounded by constraints is called ................. a. Feasible region b. Infeasible region c. Unbounded region d. None of these
Last Answer : a. Feasible region
Description : Transportation model was first introduced by ........................ in the year 1941. a. T C Koopman b. George B Dantzig c. Von-neumann d. F L Hitchcock
Last Answer : d. F L Hitchcock
Description : ......................... is a series of activities related to a project. a. Network b. Transportation Model c. Assignment model d. None of these
Last Answer : a. Network
Description : In transportation Problems, VAM stands for ......................... a. Value Addition Method b. Vogel’s Approximation Method c. Virgenean Approximation Method d. None of these
Last Answer : b. Vogel’s Approximation Method
Description : The allocated cells in the transportation table are called .............................. a. Occupied cells b. Empty cells c. Unoccupied cells d. None of these
Last Answer : a. Occupied cells
Description : The total transportation cost in an initial basic feasible solution to the following transportation problem using Vogel’s Approximation method is (A) 76 (B) 80 (C) 90 (D) 96
Last Answer : (B) 80
Description : Consider the following transportation problem: The initial basic feasible solution of the above transportation problem using Vogel's Approximation Method(VAM) is given below: The solution of the ... degenerate solution (B) is optimum solution (C) needs to improve (D) is infeasible solution
Last Answer : (B) is optimum solution
Description : Consider the following transportation problem : The transportation cost in the initial basic feasible solution of the above transportation problem using Vogel’s Approximation method is : (A) 1450 (B) 1465 (C) 1480 (D) 1520
Last Answer : (B) 1465
Description : If in an assignment problem, number of rows is not equal to number of columns then a. Maximization problem b. Problem is unbalanced c. Problem is degenerate d. Optimum solution is not possible
Last Answer : c. Problem is degenerate
Description : Operations Research does not give perfect solution to a problem, but it helps to improve the ......................... of the solution. a. Quality b. Clarity c. Look d. None of these
Last Answer : a. Quality
Description : Who defined Operations Research as scientific approach to problem solving for executive management. a. E L Arnoff b. H M Wagner c. Churchman d. None of these
Last Answer : b. H M Wagner
Description : ........................ is applied to determine optimal solution. a. NWCR b. VAM c. MODI Method d. None of these
Last Answer : c. MODI Method
Description : Constraints in an LPP are treated as active, if they: a. Do not consume all the available resources at optimality b. Represent optimal solution c. Both a and b d. None of these
Last Answer : b. Represent optimal solution
Description : Which of the following is true with regard to a Linear Programming Model? a. No guarantee to get integer valued solution b. The relationship among decision variables is liner c. Both a and b d. None of the these
Last Answer : d. None of the these
Description : Operations Research makes a ...................... attack on complex problems to arrive at optimal solution. a. Scientific b. Systematic c. Both a and b d. None of these
Description : In an LPP, if the solution of a variable can be made infinitely large without violating the constraints, then the solution is .............................. a. Infeasible b. Alternative c. Unbounded d. Unique
Last Answer : c. Unbounded
Description : If there are more than one optimal solutions for the decision variables, the solution is ........... a. Infeasible b. Unbounded c. Alternative d. None of these
Last Answer : c. Alternative
Description : For salesman who has to visit ‘n’ cities, which of the following are the ways of his tour plans: a. n ! b. (n+1) ! c. (n-1) ! d. n
Last Answer : c. (n-1) !
Description : In the Hungarian method for solving assignment problem, an optimal assignment requires that the maximum number of lines that can be drawn through squares with zero opportunity cost be equal to the number of: (A) rows or columns (B) rows+columns (C) rows+columns-1 (D) rows+columns+1
Last Answer : (A) rows or columns
Description : .................... is the popular method for solving an assignment problem. a. Hungarian Method b. Enumeration Method c. Simplex Method d. None of the above
Last Answer : a. Hungarian Method
Description : Which of the following methods is used to solve an assignment problem: a. Enumeration Method b. Hungarian Method c. Simplex Method d. All of the above
Description : ........................... method is used to solve an assignment problem. a. American method b. Hungarian method c. German method d. British method
Last Answer : b. Hungarian method
Description : In a maximisation assignment problem, the objective is to maximise ............................. a. Profit b. Cost c. Optimisation d. None of these
Last Answer : a. Profit
Description : Every Linear Programming Problem is related to another Linear Programming Problem, called .......................... a. Primal b. Dual c. Non-linear Programming d. None of these
Last Answer : b. Dual
Description : In Linear Programming Problem, degeneracy occurs in ................. stages. a. One b. Two c. Three d. Four
Last Answer : b. Two