Singh, S.B.Nautiyal, Nisha2019-01-192019-01-192018-06http://krishikosh.egranth.ac.in/handle/1/5810091580In this thesis, authoress has studied the following two different models: 1. Evaluation of reliability of a k-out-of-n network with the help of Gumbel-Hougaard family of Copula. 2. Reliability assessment of a mobile ad-hoc network (MANET) applying Gumbel-Hougaard family of Copula. Both models involve the comprehensive study of the networks having different failure rates which are studied by copula methodology. In the first model, a k-out-of-n network having the property that atleast k node must be there which can have flow from source to terminal, out of the total n nodes, is considered. The nodes which got failed are being repaired by coupling the two repair rates, i.e., exponential and general repair. By using the supplementary variable technique probabilities for different transition has been obtained. Reliability, M.T.T.F and sensitivity of the network have been analyzed using the Gumbel-Hougaard family of Copula. In the second model, a mobile ad-hoc network (MANET) has been studied. The network taken is an environment of a battlefield which has been modeled as a MANET. It includes headquarters (source), three Indian forces (Sub-MANETs) and the base camp of terrorist (sink). The main aim is to destroy the base camp (or to reach the sink). The reliability, M.T.T.F and sensitivity of the MANET have been evaluated by the same method as used in the above model.ennullThesis