HBH {hopbyhop}

Theoretical transmissions/receptions for a L-limited Hop by Hop model

Description

This function computes the expected value of the number of transmissions/receptions for Hop by hop model with L-limited retransmissions per packet.

Usage

HBH(p1, p2, L, N)

Arguments

p1

Data success probability

p2

ACK success probability

L

Maximum number of retransmissions.

N

Number of Hops

Details

When there is no limitation, L value must be set as L=Inf.

Value

The ouput is a matrix containing the following values for each hop and total:

1

Success Probability

2

Expected Data Transmissions

3

Expected ACK Transmissions

4

Expected Total Transmissions

5

Expected Data Receptions

6

Expected ACK Receptions

7

Expected Total Receptions

Author(s)

Christian E. Galarza and Jonathan M. Olate

References

Palma, J.M.O.; Carvalho, L.D.P.; Goncalves, A.P.C.; Galarza, C.E.; De Oliveira, A.M., "Application of Control Theory Markov Systems to Minimize the Number of Transmissions in a Multi-hop Network," in Computer Aided System Engineering (APCASE), 2015 Asia-Pacific Conference on , vol., no., pp.296-301, 14-16 July 2015 <DOI:10.1109/APCASE.2015.59>

Olate, Jonathan Matias Palma, et al. "Networked control systems application: Minimization of the global number of interactions, transmissions and receptions in multi-hop network using discrete-time markovian jump linear systems." IEEE Latin America Transactions 14.6 (2016): 2675-2680.

See Also

MCHBH,stochastic_HBH

Examples

#An N=5 Hop by hop system with limited L=7 retransmission per hop
HBH(p1=0.65,p2=0.4,L=7,N=5)

#An ilimited N=5 Hop by hop system
HBH(p1=0.65,p2=0.4,L=Inf,N=5)