Given: May 3, 2006
Due: May 12, 2006
1) The computations for the rst problem need to be performed using MATLAB.
2) You should prepare a written report. If you work as a group, just one report would
do. You can create tabl
Homework Assignment 5
Given: April 19, 2006
Due: April 26, 2006
Problem 1 Consider a Markov process with a countable state space i = 1, 2, . . . , n, . . . .
Given the transition rates qij of the process derive the expected time 1/i that the system
Homework Assignment 4
Given: April 5, 2006
Due: April 12, 2006
Problem 1 Consider a G/M/1 queueing system where the distribution of the interarrival
times is a mixture of two exponential distributions with parameters 1 = 1 and 2 = 2 and
Homework Assignment 3
Given: March 15, 2006
Due: March 24, 2006
Problem 1 Give an example of a queueing system and performance measure such that con
servation law holds for admissible scheduling policies, but does not hold if the scheduler knows
Holllework Assignment. 1
Problem 1 (a) Exercise 1.3 lCompare an M LU f1 system with arrival rate Air"? and service rate
it, with an f,-"if,-2 system with arrival rate A and two servers each having rate it in terms of
the expected number of custome
Date: March 22, 2006
Problem 1 For the following questions/statements just give TRUE or FALSE answers. Do
not derive the answers.
Consider a G/G/1 queueing system. The arrival rate is and service rate is > .
A. Let L10 be the steady st
Take home nal exam
Given: May 15, 2006
Due: May 18, 2006
Note: The work must be done individually.
Problem 1 A device consists of n main units, all of which must be operational for the device
to be operational. Successive failure times of the main