Reliability and maintenance for performance-balanced systems operating in a shock environment

A Quick Inclusion-Exclusion technique

Reliability and optimal replacement policy for a k-out-of-n system subject to shocks

Availability and optimal maintenance policy for systems degrading in dynamic environments

Reliability analysis for multi-component systems with degradation interaction and categorized shocks

We propose the consecutive- $k_r $ -out-of- $n_r $ :F linear zigzag structure and circular polygon structure, which extend the consecutive- k -out-of- n :F system model. By employing the finite Markov chain imbedding approach, we have proven the equations for calculating the reliability of consecutive- k -out-of- n :F system with different patterns given the state of the first and(or) the last component(s). Based on those reliability equations, we provide the rules for obtaining the reliability of the linear zigzag structure and circular polygon structure. Numerical examples are presented as an illustration of our new system model and demonstrate the use of the equations and rules proposed in this paper.

Reliability Modeling on Consecutive- $k_r $ -out-of- $n_r $ :F Linear Zigzag Structure and Circular Polygon Structure

Modeling and analysis for multi-state systems with discrete-time Markov regime-switching

A wireless sensor network is applied for detecting information, by nodes, then generates and transfers the packets to the clustering head for further transmission. In practice, due to the influence of environmental factors, traffic loads of nodes and barrier, a node may fail to detect the information which occurs within its sensing area. Thus, the redundant deployment is often conducted. There are some frequent questions need to be considered when deploying the WSN: (1) how many nodes are required for obtaining a confident coverage of the area; (2) how well does the WSN perform as time goes by, because it is an energy consumption technique; (3) when is the best opportunity to reallocate the nodes. To answer the above questions, we conduct this research. We use $$k$$
 -out-of-
 $$n$$
 model to calculate the $$k$$
 -coverage probability, which determines the minimal number of nodes that are needed to be deployed in the monitored area. We formulate the node availability and WSN availability with the assumption that the information arrival is a Poisson process. By applying the age-based replacement model, we obtain the optimal reallocation interval with lowest long run expected cost rate.

Performance Analysis for a Wireless Sensor Network of Star Topology with Random Nodes Deployment

Here we present the structure functions for the linear and circular $m$ -consecutive- $k$ , $l$ -out-of- $n$ :F (G) systems, which consists of $n$ linearly or circularly ordered components such that the system fails (works) iff there are at least $m$ times $l$ -overlapping runs of consecutive $k$ failed (working) components. The duality of these F and G systems is obtained, and the proofs are given. The generalized reliability formulae for the systems are obtained by using the finite Markov chain imbedding approach for statistically independent and Markov-dependent cases. Some miscellaneous results on the reliability of these systems and numerical examples are provided to illustrate the results obtained in the paper.

Cong Lin

Papers

Reliability Modeling on Consecutive- $k_r $ -out-of- $n_r $ :F Linear Zigzag Structure and Circular Polygon Structure

Modeling and analysis for multi-state systems with discrete-time Markov regime-switching

Performance Analysis for a Wireless Sensor Network of Star Topology with Random Nodes Deployment

$m$ -Consecutive- $k$ , $l$ -Out-of- $n$ Systems

A time-space Kriging-based sequential metamodeling approach for multi-objective crashworthiness optimization