Modeling And Performance Analysis Of Wireless Networks Based On Markov Chains

Reliability and survivability are two important characteristics of wireless networks.Especially, there is increasing concern about whether limited resources in wirelessnetworks can meet user’s requirement with growing data services demand, increasingnumber of users and growing wireless broadband services in emerging wireless andmobile networks. Therefore, the transmission success probability of wireless links and thecall blocking probability have become important metrics in wireless network study.Meanwhile, with increasing global warming and the increasing scarcity of energy sources,people also raise the concept of green communications, in which the network energyefficiency has been become a hot point.To address these problems, mathematical modeling of the transmission process andthe resource allocation in wireless networks is necessary so as to analyze networkreliability and other features; on the other hand, the network energy efficiency can bemodeled as an important indicator in evaluating network performance.Firstly, a wireless sensor network with the node sleep mode and the candidatetransmission mode is introduced. Furthermore, a cooperative routing protocol isconfigured for this wireless sensor network. Based on a multi-state Markov chain model,the transmission success probability is derived over both single link and multi links inwireless sensor networks，and analyzed.On the other hand, spectrum allocation issues in femtocell networks with partial openchannels scheme is studied. Considering different handoff scenarios, the channeloccupancy is modeled by a multi-state Markov chain. Then the call blocking probabilitiesof both femtocell and macrocell networks are derived. Furthermore, the energy efficiencyof femtocell networks, indicated by the energy consumption rate, is evaluated by takinginto account wireless channel conditions and co-channel interference from adjacentfemtocells. Numerical results are analyzed and discussed for providing some practicalguidelines for future telecommunication engineering.