204 - Decision Science

20 Questions | Attempts: 86
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  • 1. 
    Which of the following is a valid objective function for a linear programming problem?
    • A. 

      A) Max 5 XY

    • B. 

      B) Min 4X + 3Y + 6Z

    • C. 

      C) Max 5X2 + 6Y4

    • D. 

      D) Min (X1+X2) / 3

  • 2. 
    Slack is -
    • A. 

      A) the amount by which the left side of the constraint is smaller than the right side

    • B. 

      B) the difference between the left and right sides of a constraint

    • C. 

      C) the amount by which the left side of the constraint is larger than the right side

    • D. 

      D) Exists for each variable in a linear programming problem

  • 3. 
     A solution that satisfies all the constraints of a linear programming problem except the non-negativity constraints is called – 
    • A. 

      Optimal

    • B. 

      Feasible

    • C. 

      Infeasible

    • D. 

      Semi-feasible

  • 4. 
    A simulation model uses the mathematical expressions and logical relationships of the – 
    • A. 

      Real system

    • B. 

      Computer Model

    • C. 

      Performance Measures

    • D. 

      Estimated inference

  • 5. 
    Analysis of a Markov Process - 
    • A. 

      Describes future behavior of the system

    • B. 

      Optimizes the system

    • C. 

      Leads to higher order decision making

    • D. 

      All of the alternatives are true.

  • 6. 
    In a multiple channel system –
    • A. 

      Each server has its own queue

    • B. 

      Each server has the same service rate

    • C. 

      µ > λ

    • D. 

      All of the alternatives are correct

  • 7. 
    The solution of a transportation problem, with m- rows ( supplies) and n – columns ( destinations) is feasible if the number of occupied cells are -
    • A. 

      M + n

    • B. 

      M X n

    • C. 

      M + n -1

    • D. 

      M + n +1

  • 8. 
    The assignment problem -
    • A. 

      Requires that only one activity be assigned to each sequence

    • B. 

      Is a special case of transportation problems

    • C. 

      Can be used for maximization objective

    • D. 

      All of the above.

  • 9. 
    In (M/M/1) : (∞/FCFS) model, the system length  Ls is given by -
    • A. 

      ϱ / 1-ϱ

    • B. 

      λ 2 / µ - λ

    • C. 

      1/ µ - λ

    • D. 

      ρ2 / 1-ρ

  • 10. 
    In the queue model notation (a/b/c) : (d/e), what does c represent –
    • A. 

      Arrival pattern

    • B. 

      Service pattern

    • C. 

      Number of services

    • D. 

      Capacity of the system

  • 11. 
    Customer behavior in which he moves from one queue to another in multiple channel situation is –
    • A. 

      Backing

    • B. 

      Reneging

    • C. 

      Jockeying

    • D. 

      Alternating

  • 12. 
    While improving a solution of transportation problem, we reallocate units to the unoccupied cell having its opportunity cost as –
    • A. 

      Equal to zero

    • B. 

      Most negative number

    • C. 

      Most positive number.

    • D. 

      Any value

  • 13. 
    To balance an Assignment matrix we have to -
    • A. 

      Add a dummy row

    • B. 

      Add a dummy column

    • C. 

      Remove a row or column depending upon the given situation

    • D. 

      Add a dummy row or column depending upon a given situation.

  • 14. 
    MODI stands for –
    • A. 

      Modern distributions

    • B. 

      Markov distributions Method

    • C. 

      Modified Distribution Method

    • D. 

      Model Index method

  • 15. 
    The prohibited cell in transportation problem is considered by considering its cost –
    • A. 

      - ∞

    • B. 

      0

    • C. 

      Negative

    • D. 

  • 16. 
    Assignment problem is solved by –
    • A. 

      Simplex Method

    • B. 

      Graphical Method

    • C. 

      Vector Method

    • D. 

      Hungarian Method

  • 17. 
    The first step in solving operations research problem is –
    • A. 

      Model building

    • B. 

      Obtain alternate solutions

    • C. 

      Interpreting the variables

    • D. 

      Formulation of the problem

  • 18. 
    If Ro represent state probabilities of present period then the state probabilities end of second period is given by –  
    • A. 

      R2 = R1 X P2

    • B. 

      R2 = P X R1

    • C. 

      R2 = R0 X P2

    • D. 

      None of the above

  • 19. 
    While using random numbers in Monte Carlo Simulation it is –
    • A. 

      Not necessary to assign the exact range of random numbers

    • B. 

      Necessary to use particular random numbers

    • C. 

      Necessary to find out cumulative probability distribution

    • D. 

      None of the above

  • 20. 
    Utilization factor is –
    • A. 

      Arrival rate divided by service rate

    • B. 

      Service rate divided by arrival rate

    • C. 

      Length in the system divided by length in the queue

    • D. 

      Waiting time in system divided by waiting time in queue

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