Lambda algorithm and maximum likelihood estimation

• Autorzy: Cui Y. , Guo R. , Guo D.
• Języki publikacji: EN

Abstrakty

EN

In this paper, a new global optimization algorithm by imitating ancient Chinese human body system model, named as lambda algorithm, is introduced. The lambda algorithm utilizes five-element multi-segment string to represent the n-dimensional Euclidean point and hence the string based operation rules for expansion, comparison and sorting candidate strings. The algorithm enjoys the simplest mathematical operations but generates highest searching speed and accuracy. We furthermore explore to merge the lambda algorithm with maximum likelihood procedure for creating a non-derivative scheme – likelihood- lambda procedure. A illustrative example is given.

Słowa kluczowe

EN

lambda algorithm; genetic algorithm; reliability; repairable system; likelihood-lambda procedure

• Wydawca: Polskie Towarzystwo Bezpieczeństwa i Niezawodności
• Czasopismo: Journal of Polish Safety and Reliability Association
• Rocznik: 2011
• Tom: Vol. 2, No. 1
• Strony: 59--72
• Opis fizyczny: Bibliogr. 11 poz., rys., tab., wykr.

Twórcy

autor

Cui Y.

• University of Cape Town, Cape Town, South Africa

autor

Guo R.

• University of Cape Town, Cape Town, South Africa

autor

Guo D.

• South African National Biodiversity Institute, Cape Town, South Africa

Bibliografia

• [1] Ben-Gal, I. (2007). Bayesian Networks, in Ruggeri F., Faltin F. & Kenett R. Encyclopedia of Statistics in Quality & Reliability, Wiley & Sons.
• [2] Blischke, W.R. & Murthy, D.N.P. (2000). Reliability – Modeling, Prediction, and Optimization. John Wiley & Sons, Inc. New York.
• [3] Buntine, W. (1994). Operations for learning with graphical models. Journal of Artificial Intelligence Research 2.
• [4] Cui, Y.H., Guo, R. & Guo, D. (2009). A Naïve five-element string algorithm. Journal of Software, 4,9, 925-934.
• [5] Cui, Y., Guo, R., Dunne, T. & Guo, D. (2010). Lambda algorithm. Journal of Uncertain Systems, 4, 1, 22-23.
• [6] Cui, Y., Guo, R., Savsani, V., Rao, R. & Vakharia, D. (2008). Harmony element algorithm- A naïve initial searching Range. Proc. of the International conference on Advances in mechanical engineering, 479-484.
• [7] Guo, R., Guo, D. & Cui, Y.H. (2010). Wave-like bathtub hazard function. Proc. of the Ninth International Conference on Information and Management Sciences, 434-440.
• [8] Guo, R., Love, C.E. & Cui, Y.H. (2010). Maximum Likelihood Estimation of 2-Parameter Wave-Like Lifetime Distributions. Advanced Reliability Modeling IV – Beyond the Traditional Reliability and Maintainability Approaches. Proc. of the 4th Asia-Pacific International Symposium, 225-232.
• [9] Kjrulff, U. (1992). A computational scheme for reasoning in dynamic probabilistic networks, Proc. of the Eighth Conference on Uncertainty in Artificial Intelligence, 121-129.
• [10] Lawless, J.F. (1982). Statistical Models and Methods for Lifetime Data. Wiley, NY.
• [11] Ushakov, I.A. (1994). Handbook of Reliability Engineering. John Wiley & Sons, Inc., New York.