The limit of sum of Markov Bernoulli variables in system reliability evaluation

Date

1990-4

Author

Şahinoğlu, Mehmet

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

197
views

0
downloads

For 2-state maintainable and repairable systems modeled by nonstationary Markov chains, a limiting compound Poisson distribution is derived for the sum of Markov Bernoulli random variables. The result is useful for estimating the distribution of the sum of negative-margin hours in a boundary-crossing scenario involving any physical system with interarrival times of system failures that are negative-exponentially distributed, where the positive- and negative-margin states denote desirable and undesirable operating conditions. three test cases from the IEE Reliability Test system are analyzed. The mean and variance/mean ratio are generated for each case. The results of compound Poisson distribution estimation for the sum of Markov Bernoulli random variables with varying probabilities can be used to solve the problem of estimating the distribution of the popular reliability index (cumulated loss-of-load hours) in large electric power generation systems where the hourly load demand varies.

Subject Keywords

Computer Science, Software Engineering, Electrical & Electronic

URI

https://hdl.handle.net/11511/51396

Journal

IEEE Transactions on Reliability

DOI

https://doi.org/10.1109/24.52627

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

A quadtree-based adaptively-refined cartesian-grid algorithm for solution of the euler equations Bulkök, Murat; Aksel, Mehmet Haluk; Department of Mechanical Engineering (2005) A Cartesian method for solution of the steady two-dimensional Euler equations is produced. Dynamic data structures are used and both geometric and solution-based adaptations are applied. Solution adaptation is achieved through solution-based gradient information. The finite volume method is used with cell-centered approach. The solution is converged to a steady state by means of an approximate Riemann solver. Local time step is used for convergence acceleration. A multistage time stepping scheme is used to ...
Derivation of length extension formulas for complementary sets of sequences using orthogonal filterbanks Candan, Çağatay (Institution of Engineering and Technology (IET), 2006-11-23) A method for the construction of complementary sets of sequences using polyphase representation of orthogonal filterbanks is presented. It is shown that the case of two-channel filterbanks unifies individually derived length extension formulas for complementary sequences into a common framework and the general M-channel case produces novel formulas for the extension of complementary sets of sequences. The presented technique can also be used to generate polyphase and multilevel sequences.
Implementation of the Equivalence Principle Algorithm for Potential Integral Equations Farshkaran, Ali; Ergül, Özgür Salih (Institute of Electrical and Electronics Engineers (IEEE), 2019-05-01) A novel implementation of the equivalence principle algorithm (EPA) employing potential integral equations (PIEs) is presented. EPA is generalized to be compatible with PIEs that are used to formulate inner problems inside equivalence surfaces. Based on the stability of PIEs, the resulting EPA-PIE implementation is suitable for low-frequency problems involving dense discretizations with respect to wavelength. Along with the formulation and a clear demonstration of the EPA-PIE mechanism, high accuracy, stabi...
Observability Through a Matrix-Weighted Graph Tuna, Sezai Emre (Institute of Electrical and Electronics Engineers (IEEE), 2018-07-01) Observability of an array of identical linear time-invariant systems with incommensurable output matrices is studied, where an array is called observable when identically zero relative outputs imply synchronized solutions for the individual systems. It is shown that the observability of an array is equivalent to the connectivity of its interconnection graph, whose edges are assigned matrix weights. Moreover, to better understand the relative behavior of distant units, pairwise observability that concerns wi...
The Sphere Packing Bound for DSPCs with Feedback à la Augustin Nakiboğlu, Barış (Institute of Electrical and Electronics Engineers (IEEE), 2019-11-01) Establishing the sphere packing bound for block codes on the discrete stationary product channels with feedback—which are commonly called the discrete memoryless channels with feedback—was considered to be an open problem until recently, notwithstanding the proof sketch provided by Augustin in 1978. A complete proof following Augustin’s proof sketch is presented to demonstrate its adequacy and to draw attention to two novel ideas that it employs. These novel ideas (i.e., the Augustin’s averaging and the use...

Citation Formats

M. Şahinoğlu, “The limit of sum of Markov Bernoulli variables in system reliability evaluation,” IEEE Transactions on Reliability, pp. 46–50, 1990, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51396.