Mohamed AbdulRahman Al-Amoudi

Switching-Algebraic Analysis of Multi-State System Reliability

Ali Muhammad Ali Rushdi & Mohamed AbdulRahman Al-Amoudi · Journal of Engineering Research and Reports · 2019

Multi-State systems are systems whose outputs are multi-valued (due to multiple levels of capacity or performance) and (possibly) whose inputs are also multi-valued (due to multiple performance levels or multiple modes of failure). These systems are a generalization of binary or...

Open access Research Article 10.9734/jerr/2018/v3i316877

Recursively-Defined Combinatorial Functions: The Case of Binomial and Multinomial Coefficients and Probabilities

Ali Muhammad Ali Rushdi & Mohamed AbdulRahman Al-Amoudi · Journal of Advances in Mathematics and Computer Science · 2018

This paper studies a prominent class of recursively-defined combinatorial functions, namely, the binomial and multinomial coefficients and probabilities. The paper reviews the basic notions and mathematical definitions of these four functions. Subsequently, it characterizes each...

Open access Research Article 10.9734/JAMCS/2018/42137