# octave file
# run it by starting octave and this following command : source(file)

# Calculate the worst case scenario for the number for connexions for
# loadbalancing The goal is to compare architectures regarding the number of
# connexions per minutes on average for each scenario.

# Let's x be the number of server, from 1 to 30
nb_s = 1:1:30;

# The ratio between servers and clients is 20
tc = nb_s .* 20;

# A terminal gets 1 login per hour


# Scenario 1, from https://wiki.ubuntu.com/LDMLoadbalancingSupport
# Each servers reply to each clients twice a minute.

s1 = nb_s .* tc .* 2;

# Scenario 2, from https://wiki.ubuntu.com/SimpleLDMLoadBalancing
# Each servers reply to each client once per login

s2 = nb_s .* tc ./ 60;

# Scenario 3, from http://www.mille-xterm.org/en/LTSP_loadbalancer
# Each servers reply to the two loadbalancer twice a minute and loadbalancer
# server reply to clients once per login

s3 = nb_s .* 2 .* 2 + tc ./ 60;

figure(1);
title("Average connexions per minute according to the number of servers for the scenario 1");
xlabel("Servers");
ylabel("Connexions per minute");
plot(nb_s, s1);

figure(2);
title("Average connexions per minute according to the number of servers for scenario 2 and 3");
xlabel("Servers");
ylabel("Connexions per minute");
plot(nb_s, s2, nb_s, s3);