Fault tree analysis is often used to assess risks within industrial systems. The technique is commonly used although there are associated limitations in terms of accuracy and efficiency when dealing with large fault tree structures. The most recent approach to aid the analysis of the fault tree diagram is the Binary Decision Diagram (BDD) methodology. To utilise the technique the fault tree str...

The ever-increasing complexity of engineering systems has fuelled the need for novel and efficient computational tools able to enhance accuracy current modelling strategies industrial systems. Indeed, traditional Fault Event Tree techniques still monopolize reliability analysis complex despite their limitations, such as inability capture underlying dependencies between components or include deg...

Near repeat (NR) is a well known phenomenon in crime analysis assuming that crime events exhibit correlations within a given time and space frame. Traditional NR calculation generates 2 event pairs if 2 events happened within a given space and time limit. When the number of events is large, however, NR calculation is time consuming and how these pairs are organized are not yet explored. In this...

A priority queue plays an important role in stochastic discrete event simulations for as much as 40% of a simulation execution time is consumed by the pending event set management. This article describes a new form of tree-based priority queues which employs the demarcation procedure to systematically split a single tree-based priority queue into many smaller trees, each divided by a logical ti...

process mining includes the automated discovery of petri nets from event logs. these event logs are the starting point for various discovery and analysis techniques of the process.  in this paper process model is developed using colored petri nets (cpns) and the supporting software package cpn tools. the restaurant process model is represented for the analysis using a combination of process min...

Binary trait data record the presence or absence of distinguishing traits in individuals. We treat the problem of estimating ancestral trees with time depth from binary trait data. Simple analysis of such data is problematic. Each homology class of traits has a unique birth event on the tree, and the birth event of a trait visible at the leaves is biased towards the leaves. We propose a model-b...

. We consider the model of a financial exchange economy with finitely many periods having financial restricted participation i.e., each agents portfolio choice is restricted to a closed convex set containing zero, as in siconolfi([3]). Time and uncertainty are represented by a finite event-tree D. There is a market for physical commodities at any state today or in any date of future and financi...