Search
Search Results
-
On degradation-based imperfect repair and induced generalized renewal processes
In this paper, we suggest and justify a new, basic approach to modelling the imperfect repair and the corresponding imperfect repair processes for...
-
Accelerating the estimation of renewal Hawkes self-exciting point processes
The renewal Hawkes process is a nascent point process model that generalizes the Hawkes process. Although it has shown strong application potential,...
-
An Algorithm for Asymptotic Mean and Variance for Markov Renewal Process of M/G/1 Type with Finite Level
The Markov renewal process (MRP) of M / G /1 type has been used for modeling many complex queueing systems with correlated arrivals and the special...
-
Reducing degradation and age of items in imperfect repair modeling
We develop new models for imperfect repair and the corresponding generalized renewal processes for stochastic description of repairable items that...
-
Erlang Loss Formulas: An Elementary Derivation
The celebrated Erlang loss formulas, which express the probability that exactly j of c available channels/servers are busy serving customers, were...
-
Reliability Analysis
The previous chapter dwelled on design decisions of product and process developers that are aimed at optimizing the quality and robustness of...
-
Some Results on the Telegraph Process Confined by Two Non-Standard Boundaries
We analyze the one-dimensional telegraph random process confined by two boundaries, 0 and H > 0. The process experiences hard reflection at the...
-
On variability of the mean remaining lifetime at random age
In this short communication, we discuss the remaining lifetime and the mean remaining lifetime (MRL) of an item with a random age. We show that the...
-
Time-dependent stress–strength reliability models based on phase type distribution
In many of the real-life situations, the strength of a system and stress applied to it changes as time changes. In this paper, we consider...
-
Bayesian Reliability Estimation and Prediction
It is often the case that information is available on the parameters of the life distributions from prior experiments or prior analysis of failure...
-
Busy Periods for Queues Alternating Between Two Modes
We study the busy period of a single server queueing system operating in two alternating modes - working and vacation . In the two modes the systems...
-
-
Some reliability measures and maintenance policies for a coherent system composed of different types of components
Consider an n -components coherent system monitored at one or two inspection times, and some information about the system and its components is...
-
Performance and Optimization Analysis of a Queue with Delayed Uninterrupted Multiple Vacation and N-Policy
This paper considers an M / G /1 queue with delayed uninterrupted multiple vacation and N -policy, in which (i) the server remains dormant from vacation...
-
TSIR
There are many strategies for estimating the parameters of dynamic models from time series data. They differ conceptually in the way they handle...
-
Resilience: Business Sustainability Based on Risk Management
Businesses must be resilient to withstand many occurrences. Companies of all sizes can deal with adversity and possible danger in this manner. When...
-
-
Stochastic Models of Cell Proliferation Kinetics Based on Branching Processes
The aim of this memorial survey paper is to present some joint work with Andrei Yu. Yakovlev ( http://www.biology-direct.com/content/3/1/10 )...
-
SIR
The following 10 chapters are devoted to the study of patterns of infection over time and age. The current chapter introduces the basics of...
-
Data Science, Statistics, and Civic Statistics: Education for a Fast Changing World
What is the relationship between data scienceData science, statistics, and Civic Statistics? Are they symbiotic, or are they in conflict? A graphic...