http://localhost:8081/jspui/handle/123456789/13 2026-10-29T04:57:35Z 2026-10-29T04:57:35Z Singh, Vijay Pratap http://localhost:8081/jspui/handle/123456789/21764 2026-10-22T11:35:23Z 2025-01-01T00:00:00Z

Title: Performance modeling and maintainability of fault tolerant machining system using soft computing techniques Authors: Singh, Vijay Pratap Abstract: Stochastic models and performance analysis have emerged as vital tools for the system designers and organizations to address the unavoidable interruptions in the fault-tolerant machining systems (FTMS). The queueing and reliability models of FTMS hold significant industrial applications across various domains, including computer and communication networks, nuclear and power plants, traffic control and power distribution systems, production and assembly lines, etc. The main goal of the system designers in an industrial setting is to create machining systems capable of withstanding errors/faults. The appropriate selection of redundancy and maintainability can significantly enhance the capacity and availability of many FTMS that are prone to failures and operate in machining environments. The main goal of the present study is to examine both transient and steady-state queueing and reliability models for fault-tolerant machining system with service interruption subject to imperfect repair. Several notable features have been implemented to address the disruptions in the machining environment. The worth-noting concepts incorporated in the thesis works include the standby support, vacation, working vacation, N-policy, imperfect repair, server failure, standby support, reboot and/or recovery mechanism, retrial orbits, etc. The present study on stochastic models for the FTMS focuses on the derivation of various performance metrics, including long-run probabilities, expected number of failed units, mean time to failure, reliability, availability, throughput, etc. To investigate the performance metrics of the concerned fault-tolerant machining systems, recursive methods are applied in specific chapters. For steady state and transient behavior, matrix recursive and spectral methods respectively, are employed. In the case of non-Markovian models, supplementary variable techniques and Laplace transforms are utilized to obtain analytical results. Additionally, the cost analysis is carried out using appropriate analytical and computational techniques. For the cost optimization and evaluation of optimal decision values for the concerned machine repair models, quasi-Newton method, and metaheuristic approaches like genetic algorithms, particle swarm optimization, and harmony search techniques, etc. are used. The soft computing techniques, namely fuzzy logic, and adaptive neuro-fuzzy inference systems are also employed to explore the feasibility of developing AI-based controllers of complex systems and to quantify the performance indices of the concerned FTMS.

2025-01-01T00:00:00Z Shukla, Aishwarya http://localhost:8081/jspui/handle/123456789/21157 2026-06-15T10:34:48Z 2022-05-01T00:00:00Z

Title: Finite element method for the stationary generalized Burgers-Huxley equation Authors: Shukla, Aishwarya Abstract: In this work we deal with the evaluation of the generalized Burgers-Huxley equation which is a nonlinear elliptic problem . The existence and uniqeness of weak solutions are mentioned in detail by the use of a Faedo-Galerkin approach and also by the use of Fixed point theory. A priory error estimates for conforming finite element method are also derived.

2022-05-01T00:00:00Z Kumar, Ajay http://localhost:8081/jspui/handle/123456789/21156 2026-06-15T10:34:39Z 2022-05-01T00:00:00Z

Title: FUZZY RELATION PROGRAMMING PROBLEM WITH INTUTIONISTIC FUZZY COEFFICIENT Authors: Kumar, Ajay Abstract: The use of max-product composition in relational geometric programming with intuitionistic fuzzy coefficients is addressed in this article. We use a linear ranking function to convert the problem into a fuzzy relation geometric programming problem since the object is an intuitionistic fuzzy relation function with intuitionistic fuzzy coefficients. After that, we look at intuitionistic fuzzy relation geometric programming and try to find the best solution.

2022-05-01T00:00:00Z Singh, Anurag http://localhost:8081/jspui/handle/123456789/21155 2026-06-16T12:17:06Z 2022-05-01T00:00:00Z

Title: DYNAMICS OF ANTITUMOR IMMUNE RESPONSES-A STUDY BASED ON MATHEMATICAL MODELLING Authors: Singh, Anurag Abstract: This work focuses on the interaction between tumor and immune components, namely, immature and mature lymphocytes, using mathematical modelling as a tool. The model is kept simple but realistic, which is able to capture the dynamics, like , unlimited expansion of tumor, stable endemic equilibrium , periodic oscillation and tumor free equilibrium, as the quantity of mature immune cells are increased .Stability analysis of the system is performed and numerical results agree with the theoretical analysis.

2022-05-01T00:00:00Z