How can I express the network reliability by using the fairness (Jain's index) between the users in the network ?
you want to express reliability in the mac layer or transport layer
Jain's fairness index is generally used to qualify Transport Protocols. The idea is that in the process of maximizing the through the transport protocol should not be made more aggressive that it does not let other connections get a share of the bandwidth. To be a good network citizen it is expected for transport protocols to fairly share the available bandwidth. If that is not the case a connection which starts earlier grabs an appreciable share of the bandwidth. Protocols which have a good fairness property will release the bandwidth to other originating connections and after some time if N connections are active in a network they will be equally sharing the bandwidth. A values of Jain's fairness index close to 1.0 indicate the protocols is having more fairness property. If the fairness index is low the network becomes more unfair to the active connections.
One way it may be thought that transport protocols having high fairness index will lead to a stable network environment or in other works a fair network not biased to connections. It means more how a same family of transport protocols cooperate with each other. Similarly the friendliness property is to ensure how one transport protocol cooperate with other types of Transport Protocol being active in same network. However, reliability is related to many other network conditions.
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