A hybrid algorithm based on differential evolution for reliability–redundancy allocation problem of a series system under multiple brands

• Published in: The Journal of supercomputing Vol. 81; no. 13
• Main Authors: Akhtar, Md, Mandal, Goutam, Bhunia, Asoke Kumar
• Format: Journal Article
• Language: English
• Published: New York Springer US 18.08.2025; Springer Nature B.V
• Subjects: Algorithms; Compilers; Computer Science; Evolutionary computation; Interpreters; Processor Architectures; Programming Languages; Redundancy; Redundant components; System reliability; Differential evolution; Reliability–redundancy allocation; Tournamenting; Metaheuristics; Optimization; Rao algorithm
• ISSN: 1573-0484; 0920-8542; 1573-0484
• DOI: 10.1007/s11227-025-07708-7

The goal of this work is to develop a hybrid algorithm based on differential evolution and Rao algorithms via tournamenting process and named this algorithm as TDERAO algorithm. The hybrid algorithm is applied to solve reliability–redundancy allocation problems (RRAP) for series system in which parallel redundancy is considered. The redundant components are selected from different brands so as to maximize the system reliability subject to budget, weight and volume. Several RRAPs are considered involving crisp as well as interval-valued objective functions and several constraints, based on cost, weight and volume, are considered. The problems having interval-valued functions are newly introduced in this work. In this connection, five RRAPs are formulated and four examples for each problem are considered and solved using TDERAO algorithm. The results obtained from the proposed algorithm are compared with those of the existing algorithms.