Maximization of system reliability is a topic of much concern in the field of engineering design, telecommunication, aircraft design, plant and factory establishing, producing of sensitive devices, and many production management. The main goal of reliability optimization is to construct highly reliable system or to design maximum reliable system so that the system can run smoothly without any hindrance under some restrictions in the form of constraints for a specified period of time maintaining the safety and efficiency. In this paper, we consider Redundancy Allocation Problem (RAP) involving time dependent component reliabilities for optimizing system reliability of the problem designed. Moreover, we have considered a new objective function as the Mission Design Life (MDL) of reliable system. The MDL is found by integrating the system reliability with respect to time from zero to mission time. This consideration makes the problem more realistic by taking the fact into account that reliability of the system varies with time. Here, we have maximized the Mission Design Life of reliable system with the time dependent component reliabilities by implementing the proposed Blended WQPSO (BWQPSO). The BWQPSO is developed by incorporating the Big-M penalty function in the Weighted Quantum behaved Particle Swarm Optimization and it is found to perform highly satisfactorily to solve the highly nonlinear combinatorial problem so designed as a time dependent redundancy allocation problem. Again, to tackle the uncertain behaviour of controlling parameters, we incorporated the fuzziness and intuitionistic fuzziness to develop the imprecise models. The three types of problems designed here are supplemented by numerical examples. The numerical experiments are carried out in each of the environments and comparative studies are presented. The statistical analysis along with computational time and convergence of the proposed algorithm are also produced.
The objective of this article is to introduce several new methods or techniques for solving simultaneous linear and nonlinear system of equations with the help of a new hybrid algorithm based on advanced quantum behaved particle swarm optimization and the concept of binary tournamenting process. Depending on different options of binary tournamenting, six different variants of hybrid algorithms are proposed. To examine the effectiveness of the proposed hybrid algorithms five well known benchmark bound‐constrained optimization problems are solved. Among the six different variants of hybrid algorithms, the best algorithm is selected on the basis of their performances in these problems. This best algorithm is then applied in solving simultaneous linear and nonlinear system of equations transforming these equations into optimization problems. In case of linear system, just two systems are solved while in case of nonlinear system seven complicated problems are solved and finally a comparison of best found solutions are estimated with the same of existing algorithms provided in the literature.
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