STUPIDSID
1 (a)
Define :- System, Event, Simulation, Delay and Model.
5 M
1 (b)
Perform the simulation of the following inventory system, given daily demand is represented by the random numbers 4,3,8,2,5 and the demand probability is given by
if the initial inventory is 4 units, determine on which day the storage condition occurs.
| Demand | 0 | 1 | 2 |
| Probability | 0.2 | 0.5 | 0.3 |
if the initial inventory is 4 units, determine on which day the storage condition occurs.
5 M
1 (c)
Explain the properties of a Poisson Process.
5 M
1 (d)
Explain covariance and correlation.
5 M
2 (a)
Explain the verification process
10 M
2 (b)
Distinguish between (two points of difference each):-
(i) Terminating and non-terminating simulations
(ii) Activity and delay
(iii) Random numbers and random variates
(i) Terminating and non-terminating simulations
(ii) Activity and delay
(iii) Random numbers and random variates
6 M
2 (c)
Explain the steps in the development of a model of input data
4 M
3 (a)
Describe briefly Queing, Inventory and Reliability systems.
10 M
3 (b)
Test the following random numbers for independence by poker test:
{ 0.594, 0.928, 0.515, 0.055, 0.507, 0.351, 0.262, 0.797, 0.788, 0.442, 0.097, 0.798, 0.227, 0.127, 0.474, 0.825, 0.007, 0.182, 0.929, 0.852}; α=0.05, Χ20.05,2=5.99
{ 0.594, 0.928, 0.515, 0.055, 0.507, 0.351, 0.262, 0.797, 0.788, 0.442, 0.097, 0.798, 0.227, 0.127, 0.474, 0.825, 0.007, 0.182, 0.929, 0.852}; α=0.05, Χ20.05,2=5.99
10 M
4 (a)
Draw the figure for service outcomes after service completion and potential uint actions upon arrival and the flow diagrams for unit- entering-system and service -just-completed flow for a queueing system.
5 M
4 (b)
Compare the event scheduling, process interaction and activity scanning approach
5 M
4 (c)
Given the following data for utilization and time spent for the Able-Baker car-hop problem, calculate the overall points estimators, standard error and 95% confidence interval for the same, given t0.025,3=3.18
| Run r : | 1 | 2 | 3 | 4 |
| Able's utilization ρr : | 0.808 | 0.875 | 0.708 | 0.842 |
| Average system time wr (min) : | 3.74 | 4.53 | 3.84 | 3.98 |
10 M
5 (a)
Give the steady-state equations for M/G/1 queue and derive M/M/1 from M/G/1
10 M
5 (b)
A medical examination is given in three stages by a physician, each stage is exponentially distributed with a mean service time of 20 minutes. Find the probability that the exam will take 50 minutes or less. Also detemine the expected length of the exam
5 M
5 (c)
In stoke brokerage, the following twenty time maps were recorded between customer buy and sell order (in sec) : 1.95, 1.75. 1.58, 1.42, 1.28, 1.15, 1.04, 0.93, 0.84, 0.75, 0.68, 0.61, 11.98, 10.79, 9.71, 14.02, 12.62, 11.36, 10.22, 9.20. Assume exponential distribution is a good model for the individual gaps, calculate the lag-1 autocorrelation
5 M
6 (a)
Describe initialization bias in steady-state simulation
10 M
6 (b)
Explain the AR(1) time series model along with the algorithm
5 M
6 (c)
Why is it necessary to have program and process documentation in simulation study?
5 M
Write short notes on any four :-
7 (a)
Cobweb model.
5 M
7 (b)
Costs in queueing problems
5 M
7 (c)
Gap test
5 M
7 (d)
Characteristics desirable in a simulation software
5 M
7 (e)
kolmogorov-Smirnov test
5 M
7 (f)
Network of queues.
5 M
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