Abstract: In the present work,  Certaion transformation formulae for Basic Hypergeometric Functions and Bibasic series are established by using Bailey‟s Transform.  Certaion transformation formulae for Basic Hypergeometric Functions are established by using some WP Bailey‟s Pairs in well known theorems.  The results involving the Multi summation Identity in ...

The present research study is based on the development of reliability models with the help of UGF and fuzzy sets. In this study, eight different reliability models have been developed. Model-1 studies the reliability characteristic of sliding window coherent system which consists of n number of components connected in parallel configuration using UGF. Model-2 discu...

The whole civilization in the world is dependent on wireless technology. The Gradual growth or development of current environment of the people is not possible without communication. As the use of wireless/ mobile devices increases, there is increment in the requirement of the quality of the service for the users. In this study, we have developed a queueing models...

Due to the complexity of the real life systems it becomes mandatory to evaluate their reliability and availability. In most emerging repairing complex models, failures are not self announcing, they are found to be hidden/unrevealed. Keeping this fact in the view, the focus of the present research is on the development of reliability and availability models with the...

Due to the complexity of the real life systems it becomes mandatory to evaluate their reliability. Keeping this fact in view, the focus of the present research is on the development of reliability models with the help of UGF and FUGF. This study proposes nine different reliability models. Model 1 deals with the reliability (unreliability) of circular weighted-(n, f...

In this research work, author has developed two different models which are given as: 1. Reliability assessment of 8×8 shuffle Exchange network with one stage less (SEN-) by using universal generating function method. 2. Reliability assessment of 4×4 shuffle exchange network (SEN) by using universal generating function method. In the first model, 8×8 SEN- MIN does n...

The present research is based on the development of reliability models with the application of UGF, Supplementary variable technique, ANN, and Signature. In this study, six different reliability models have been developed. Model 1 generates an efficient algorithm to compute the reliability indices of complex bridge networks having i.i.d. lifetime components (nodes...

In this thesis authoress studied following two different models: (1) Reliability assessment of repairable parallel-series multi state system applying interval valued universal generating function. (2) Reliability evaluation of repairable weighted (u, v)-out-of-(x, y) system using interval valued universal generating function. Both models involve a comprehensive a...

In this research work, authoress has developed two different models which are given as: 1. Reliability assessment of replaceable shuffle exchange network (SEN) by using interval valued universal generating function. 2. Reliability assessment of replaceable shuffle exchange network (SEN+) applying interval valued universal generating function. In both the model...

The present work consists of five chapters. A brief summary of these chapters is given below. The chapter one of the theses is purely introductory in nature and contains history related to reliability theory with several definitions of different reliability tools which are often used in the study of reliability theory. This chapter also discusses the fundamental ...

The present study focuses on preparation of carbon based nano hybrid which act as an adsorbent for removal of Cd (II) from aqueous solution. Synthesis of graphene oxide was carried out by modified Hummer’s method. Fuctionalization of multiwall carbon nanotubes was carried out with the help of refluxing. Magnetic graphene oxide nanoparticles were formed with co-...