EEL 703 (Computer Networks)
Tutorial Sheet 2
1. We have to study the queueing network with feedback shown In the ﬁgure below.
Qu c u c .L Qu m e Z
M?—
We know that: _. , W
M“ j
o The message arrival process from outside the network to queue 211 is Poisson

Tutorial Sheet 2
Answers
1. Arrival rate to both queues = = 1p
(i) 1 < 1, 2 < 1
(ii) Let p(i,j) denote the steady state probability of system containing i customers in queue 1 and
j customers in queue 2. Then p(i,j) = i (1 1 )j (1 2 )
1
2
i
(iii) Ni = 1i

EEL 703(Computer Networks)
Tutorial Sheet No.1
Answers
Note: =
(even for nite capacity system)
1. The system can be modeled as an M/M/2 queueing system
(i)
2
(ii)
(iii)
<1
4
42 ,
=
< 2 maximum load of 2 Erlangs
4
(42 )
(iv) No
2. The system can be modele

EEL 703(Computer Networks) Tutorial Sheet No.1
1. We consider a buer that receives messages to be sent. The transmission is made by means of two modern
lines that operate at the same speed. We know that:
(a) The message arrival process is Poisson process

Probability and Statistics with
Reliability, Queuing, and
Computer Science Applications
Kishor Shridharbhai Trivedi
Duke University
Durham, North Carolina
A Wiley-Interscience Publication
JOHN WILEY & SONS, INC.
Contents
Preface to the Second Edition
ix
P

Case 28
Olives in Your Backyard
Daniel Franchi and Lee McFarland
by
California Polytechnic State University San Luis
Obispo
You may buy an olive farm, where the olives will be sold as olives or olive oil. The trees are
planted on 15 acres of the 40-acre p