We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences


This week's seminars

Statistics Seminars: A heuristic survival signature based approach for reliability-redundancy allocation

Presented by Dr Xianzhen Huang , School of Mechanical Engineering and Automation, Northeastern University, P.R. China

21 May 2018 16:00 in CM221

Reliability-redundancy allocation can be used to simultaneously determine the reliabilities and the redundancy levels of components to maximize system reliability under design constraints such as those for cost, volume, and weight. Although many efforts have been made to propose efficient and effective methods for solving the optimization model of RRAP, it is still difficult to analyze large systems without considerable computational expense. In this paper, we present a new and efficient approach for reliability redundancy-allocation problems (RRAPs) using the survival signature. The information of the structure function of a system is summarized as survival signature which can be directly applied to calculate the reliability of the system with redundant components in parallel. The RRAP is formulated as an optimization problem with the objective of maximizing system reliability under some constraints. In order to solve the optimization model efficiently, a new adaptive penalty function is proposed to transfer the constraint optimization problem to an unconstraint one. Then a heuristic algorithm called stochastic fractal search is applied to solve the unconstraint optimization. Moreover, the (joint) structural importance is proposed to concretely allocate the redundancy level of each component. Two numerical examples are provided to demonstrate the application of the proposed approach. The results show that the approach is easy to implement in practice and has high computational efficiency.

Contact for more information

Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.