Simple models for the performance evaluation of a class of two-hop relay protocols

Ahmad Al Hanbali*, Arzad A. Kherani, Philippe Nain

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

14 Scopus citations


We evaluate the performance of a class of two-hop relay protocols for mobile ad hoc networks. The interest is on the multicopy two-hop relay (MTR) protocol, where the source may generate multiple copies of a packet and use relay nodes to deliver the packet (or a copy) to its destination, and on the two-hop relay protocol with erasure coding. Performance metrics of interest are the time to deliver a single packet to its destination, the number of copies of the packet at delivery instant, and the total number of copies that the source generates. The packet copies at relay nodes have limited lifetime (time-to-live TTL). Via a Markovian analysis, the three performance metrics of the MTR protocol are obtained in closed-from in the case where the number of the copies in the network is limited. Also, we develop an approximation analysis in the case where the inter-meeting times between nodes are arbitrarily distributed and the TTLs of the copies are constant and all equal. In particular, we show that exponential intermeeting times yield stochastically smaller delivery delays than hyper-exponential inter-meeting times, and that exponential TTLs yield stochastically larger delivery delays than constant TTLs. Finally, we characterize the delivery delay and the number of transmissions in the two-hop relay protocol with erasure coding and compare this scheme with the multicopy scheme.

Original languageEnglish
Title of host publicationNETWORKING 2007 Ad Hoc and Sensor Networks, Wireless Networks, Next Generation Internet - 6th International IFIP-TC6 Networking Conference, Proceedings
EditorsIan F. Akyildiz, Raghupathy Sivakumar, Eylem Ekici, Jaudelice Cavalcante de Oliveira, Janise McNair
PublisherSpringer Verlag
Number of pages12
ISBN (Print)9783540726050
StatePublished - 2007
Externally publishedYes

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4479 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


  • Analytical model
  • Erasure coding
  • Markovian analysis
  • Mobile ad hoc network
  • Mobility model
  • Performance evaluation
  • Two-hop relay protocol

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science (all)


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