Question 1

A problem is classified as Markov chain provided

Accepted Answer

A)  There are finite number of possible states 
B)  States are collectively exhaustive & mutually exclusive 
C)  Long-run probabilities of being in a particular state will be constant over time 
D)  All of the above

Question 2

Which of the cost estimates & performance measures are not used for economic analysis of a queuing system

Accepted Answer

A)  Cost per server per unit of time 
B)  Cost per unit of time for a customer waiting in the system 
C)  Average number of customers in the system 
D)  Average waiting time of customers in the system

Question 3

Analytical results are taken into consideration before a simulation study so as to

Accepted Answer

A)  Identify suitable values of the system parameters 
B)  Determine the optimal decision 
C)  Identify suitable values of decision variables for the specific choices of system parameters 
D)  All of the above

Question 4

The important step required for simulation approach in solving a problem is to

Accepted Answer

A)  Test & validate the model 
B)  Design the experiment 
C)  Conduct the experiment 
D)  All of the above

Question 5

Which of the following is not one of the assumptions of Markov analysis:

Accepted Answer

A)  There are a limited number of possible states 
B)  A future state can be predicted from the preceding one 
C)  There are limited number of future periods 
D)  All of the above

Question 6

A calling population is considered to be infinite when

Accepted Answer

A)  All customers arrive at once 
B)  Arrivals are independent of each other 
C)  Arrivals are dependent upon each other 
D)  All of the above

Question 7

In the long run, the state probabilities become 0 & 1

Accepted Answer

A)  In no case 
B)  In same cases 
C)  In all cases 
D)  Cannot say

Question 8

Probabilities of occurrence of any state are

Accepted Answer

A)  Collectively exhaustive 
B)  Mutually exclusive 
C)  Representing one of the finite numbers of states of nature in the system 
D)  All of the above

Question 9

An advantage of simulation as opposed to optimization is that

Accepted Answer

A)  Several options of measure of performance can be examined 
B)  Complex real-life problems can be studied 
C)  It is applicable in cases where there is an element of randomness in a system 
D)  All of the above

Question 10

Large complicated simulation models are appreciated because

Accepted Answer

A)  Their average costs are not well-defined 
B)  It is difficult to create the appropriate events 
C)  They may be expensive to write and use as an experimental device 
D)  All of the above

Question 11

In Markov analysis, state probabilities must

Accepted Answer

A)  Sum to one 
B)  Be less than one 
C)  Be greater than one 
D)  None of the above

Exam 8: Markov Analysis and Simulation Techniques for Queuing Systems