A BAYESIAN STATISTICAL FRAMEWORK FOR RELIABILITY, AND MAINTENANCE COST MODELING OF NATURAL GAS COMPRESSOR

Authors

  • E. ABE Department of Production Engineering, University of Benin, Benin City, Nigeria. Author
  • P.E. AMIOLEMHEN Department of Production Engineering, University of Benin, Benin City, Nigeria. Author
  • E. IKPOZA Department of Production Engineering, University of Benin, Benin City, Nigeria. Author

DOI:

https://doi.org/10.60787/tnamp.v23.619

Keywords:

Bayesian Prediction Interval (BPI), High Pressure Compressor -2 (HPC-2), Mean time to failure (MTTF), Reliability (R), Time to Failure (TTF), Weibull distribution (W~)

Abstract

Predicting failure occurrences is vital for ensuring operational efficiency and minimizing downtime in production systems. This study characterizes the reliability parameters of a High-Pressure Compressor (HPC-2) using a Weibull Bayesian framework and estimates its annual maintenance cost. Operational data including shutdown and start times were obtained from a major crude oil and gas company in the Niger Delta, from which relevant secondary data were extracted. The developed Bayesian model under the Weibull distribution estimated an expected failure rate of 0.008749 failures per hour (standard error, SE = 3.74×10⁻⁵) with a 95% two-tail Bayesian prediction interval of [0.00866, 0.00893]. At 36 hours of operation, reliability was 72.98% (SE = 9.91×10⁻⁴; 95% prediction interval, PI [0.725, 0.732]). The non-informative prior produced a mean time to failure (MTTF) of 105.89 hours (95% PI [68.42, 161.20]), while the Gamma prior estimated 150.95 hours. The annual maintenance cost was estimated at 41,954.65 USD.

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References

Li, Y. T., He, X. N. and Shuai, J. (2021). Risk analysis and maintenance decision making of natural gas pipelines with external corrosion based on Bayesian network. Petroleum Science, vol. 18, no. 5, pp. 1234–1248.

Guo, Y.; Zhong, M.; Gao, C.; Wang, H. D.; Liang, X. and Yi, H. (2021). A discrete-time Bayesian network approach for reliability analysis of dynamic systems with common cause failures. Reliability Engineering & System Safety, vol.216, issue 108028.

Gong, J.; Li, J.; Tan, L.; Zhang, L.; Wang, Y. and Zhao, J. (2025). Natural Gas Purification Plants Based on Interpretive Structural Models and Bayesian Networks. ACS Omega.

Afrah Al-Bossly (2020). “Bayesian Statistics Application on Reliability Prediction and Analysis”. Journal of Statistics Applications & Probability (An International Journal). Vol. 9, No. 1, pp. 19-34.

Singh, V., Cortellessaz, B., Cukicz, E., Gunely, V., (2001). "A Bayesian Approach to Reliability Prediction and Assessment of Component-Based Systems", Proceedings of the 12th International Symposium on Software Reliability Engineering, IEEE 1071- 9458/01.

David Spiegelhalter and Kenneth Rice, (2009). "Bayesian Statistics, Scholarpedia., Vol. 4, No. 8, pp. 30-55.

Paul H. Kvam, & Brani Vidakovic (2007). “Nonparametric Statistics with Applications to Science and Engineering”. A John Wiley & Sons, Inc., Publication. Pp 47-68.

Martz, F. H. and Waller, A. R. (2020). “Bayesian Reliability Analysis”. Krieger Publishing Company, Malabar, Florida. Revised Edition, pp. 328 – 459.

Ebeling C. E; (2010). “An Introduction to Reliability and Maintainability Engineering”. The McGraw – Hill companies, Inc. pp 385 – 410, 5th edition.

Dhillion B.S (2020). Engineering Maintainability: How to Design for Reliability and easy Maintenance. Prentice Hall of India – Private Limited, New Delhi – 1100001, pp 137-159.

Meeker, W. Q., & Escobar, L. A. (1998). Statistical Methods for Reliability Data. New York, NY: John Wiley & Sons. ISBN: 978-0-471-14328-8.

Guure, C. B., & Ibrahim, N. A. (2012). Bayesian analysis of the survival function and failure rate of Weibull distribution with censored data. Mathematical Problems in Engineering, Article ID 329489, pp.18.

Tian, Q., Lewis-Beck, C., Niemi, J. B., & Meeker, W. Q. (2023). Specifying prior distributions in reliability applications. Applied Stochastic Models in Business and Industry, vol. 40, no. 1, pp. 5-62.

Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press.

Ríos-Insua, D., Ruggeri, F., Soyer, R., & Wilson, S. (2020). Advances in Bayesian decision making in reliability. European Journal of Operational Research, vol. 282, no. 1, pp. 1-18.

Nowlan, F. S., & Heap, H. F. (1978, December 29). Reliability-Centered Maintenance (Report No. MDA 903-75-C-0349). United Airlines, prepared for the U.S. Department of Defense. Washington, D.C.: National Technical Information Service.

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Published

2026-01-07

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How to Cite

A BAYESIAN STATISTICAL FRAMEWORK FOR RELIABILITY, AND MAINTENANCE COST MODELING OF NATURAL GAS COMPRESSOR. (2026). The Transactions of the Nigerian Association of Mathematical Physics, 23, 41-54. https://doi.org/10.60787/tnamp.v23.619

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