I'm currently studying the book From Algorithms to Z-Scores: Probabilistic and Statistical Modelling in Computer Science
In the first chapter of the book the ALOHA network protocol is introduced as an example of probabilistic modelling. I decided to write a python simulation and run some tests to check the overall performance of a network of this type (latency, successful transmission/accuracy).
import random
class aloha():
'''
Aloha network simulation.
Each node tries to send into a single channel. It generates a message (becomes active)
with probability q. Then it tries to send the message into the channel with probability
p. If more than one nodes try to send, a collision occurs resulting to failure, otherwise
transmission is successful.
'''
def __init__(self, nodes,p_send,q_generate,epochs):
# number of nodes
self.nodes = nodes
# probability that an active node will send the generated message
self.p_send = p_send
# probability that a node will generate a message
self.q_generate = q_generate
# number of time steps to simulate
self.epochs = epochs
# list with the state of each node, initially all inactive
self.states = [False for i in range(self.nodes)]
# list of latencies for each node
self.latencies = [0 for i in range(self.nodes)]
# list of transmission outcomes. True for success
self.result = []
def message_generation(self):
'''
Helper function to check message generation
'''
for i in range(len(self.states)):
# need only to check for inactive nodes
if self.states[i] == False:
if random.random()<=self.q_generate:
self.states[i] = True
def transmission(self):
senders = []
actives = []
# gather the indices of all active nodes
for i in range(len(self.states)):
if self.states[i] == True:
actives.append(i)
# check if an active node will try to send
for i in range(len(actives)):
if random.random()<=self.p_send:
senders.append(actives[i])
#print('Towards the end of this epoch the nodes that try to send are ' + str(len(senders)))
#print(senders)
# If more than one try to send we have a collision that results in transmission failure
if len(senders) > 1:
self.result.append(False)
# so any active node experiences latency
for active in actives:
self.latencies[active] += 1
else:
# If none wants to send then certainly we don't experience failure
if (len(senders) == 0):
self.result.append(True)
# but we might experience latency
for active in actives:
self.latencies[active] += 1
else:
# Success. Only one node tries to send
self.states[senders[0]] = False
# and all other active nodes experience latency again
actives.remove(senders[0])
for active in actives:
self.latencies[active] +=1
self.result.append(True)
#print('Thus resulting in successful transmission.')
def simulate(self):
for i in range(self.epochs):
#print('At the start of epoch number ' + str(i) + ' the states are')
#print(self.states)
self.message_generation()
#print('At the middle of epoch number ' + str(i) + ' the states are')
#print(self.states)
self.transmission()
#print('At the end of epoch number ' + str(i) + ' the states are')
#print(self.states)
The commented print statements were put for debug purposes. I apologize if it makes the code uglier. I'm on a transition from python 2 to python 3 so I'd like pointers to stuff that can be done more easily in the latter and overall comments on efficiency.
Below is the code for testing of the protocol.
'''
Code to test the accuracy of the network (#successful_transfers/#epochs)
and latency for various values of p
'''
q=0.5
p=0.05
n=3
e=500
accuracy = []
avg_latency = []
percentage_of_latents = []
while p<1:
x = aloha(n,p,q,e)
x.simulate()
accuracy.append( x.result.count(True)/e )
latents = [latency for latency in x.latencies if latency!=0]
avg_latency.append(sum(latents)/len(latents))
p += 0.1
print(accuracy)
print(avg_latency)