A STATISTICAL-COMPUTATIONAL FRAMEWORK FOR TRANSIENT AVAILABILITY ANALYSIS IN A COMPLEX SYSTEM

Zeenat ZAIDI

Abstract


This study proposes a statistical-computational framework to analyze the transient availability of a complex system. A Markov-based model is developed using state transition diagram, with governing differential equations derived to capture dynamic system behavior. The solution is implemented computationally via matrix methods in C++, enabling efficient evaluation of availability under continuous failure and repair processes. To statistically characterize transient-state dependencies, time-availability relationships are investigated using correlation and regression analysis in SPSS. The integrated methodology combines techniques from reliability engineering, applied mathematics, and data analytics, providing a rigorous approach for assessing and optimizing system performance during transient operations.

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