Sum_of_Disjoint_Product

Sum_of_Disjoint_Product (Sum of Disjoint Product, SDP) is a matlab code that generates expression of the probability of a union of a set of events.

Given a collection of sets, i.e., $A =$ {$A_1, A_2, A_3, ..., A_n$}, where $A_i =$ {$x_i...$} is a set of variables $x_i$'s.

Sum_of_Disjoint_Product code computes $P(\cup_{j=1}^{n} A_j) = P(A_1 \cup A_2 \cup A_3 \cup ... \cup A_n)$. sumOfDisjointPdt.m is the main file.

In the current code, SDP approach is demonstrated using cycles in ammonia (ammonia.mat) process. Similarly, reliability expression for steam metering can be generated using steam_metering.mat

Journal paper that explains/uses the Sum_of_Disjoint_Product approach

Om Prakash, Mani Bhushan, Sridharakumar Narasimhan, and Raghunathan Rengaswamy, Sensor network design based on system-wide reliability criteria. Part II: Formulations and applications, Journal of Process Control (2020), [Preprint] [Publisher Link].

Please cite the above-mentioned paper if you use this code.

Journal paper that uses Sum_of_Disjoint_Product approach

Om Prakash and Mani Bhushan, Cumulative Residual Kullback-Leibler Divergence Based Sensor Placement Using Reliability Criteria, Computers and Chemical Engineering (2022), [Preprint] [Publisher Link].