The particle swarm optimization algorithm: convergence analysis and parameter selection
Information Processing Letters
An efficient heuristic for series-parallel redundant reliability problems
Computers and Operations Research
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Immune algorithms-based approach for redundant reliability problems with multiple component choices
Computers in Industry - Special issue: Application of genetics algorithms in industry
A novel global harmony search algorithm for reliability problems
Computers and Industrial Engineering
Integrated importance measures of multi-state systems under uncertainty
Computers and Industrial Engineering
Analysis of maintenance policies for finite life-cycle multi-state systems
Computers and Industrial Engineering
Solving reliability redundancy allocation problems using an artificial bee colony algorithm
Computers and Operations Research
The Universal Generating Function in Reliability Analysis and Optimization
The Universal Generating Function in Reliability Analysis and Optimization
Computers and Operations Research
Recent Advances in Optimal Reliability Allocation
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
On the computational complexity of reliability redundancy allocation in a series system
Operations Research Letters
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Expert Systems with Applications: An International Journal
Multi-objective reliability-redundancy allocation problem using particle swarm optimization
Computers and Industrial Engineering
Multi-objective team formation optimization for new product development
Computers and Industrial Engineering
The grid, the load and the gradient
Natural Computing: an international journal
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Bridge topology is a commonly used structure for load balancing and control in applications such as electric power generation and transmission, transportation and computer networks, and electronic circuits. The reliability performance of engineering systems with bridge topology can be characterized by multi-state models and enhanced by allocating redundant elements. The redundancy allocation problem, which aims at finding the optimal trade-off between system performance and investment costs, is proved difficult to solve and has received much attention in the literature. This paper advances a meta-heuristic approach called particle swarm optimization and applies it to effectively solve for near-optimal solutions to the redundancy allocation problem of multi-state systems with bridge topology. Two typical redundancy allocation problem formulations, i.e., minimizing the system cost while satisfying required system availability and maximizing the system availability with a limited budget, are studied. Heterogeneous redundancy, i.e., the mixture of redundant element types in each subsystem, is allowed in the formulations. The effectiveness and efficiency of the proposed approach are validated by the case studies of a bridge-structured coal conveyor multi-state system with extra constraints. The research results have practical meaning to the design and improvement of engineering systems with bridge topology.