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Approximation of Discrete Phase-Type Distributions

38th Annual Simulation Symposium, 2005
The analysis of discrete stochastic models such as generally distributed stochastic Petri nets can be done using state space-based methods. The behavior of the model is described by a Markov chain that can be solved mathematically. The phase-type distributions that are used to describe non-Markovian distributions have to be approximated.
Claudia Isensee, Graham Horton
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Ultralow Volume Change of P2-type Layered Oxide Cathode with Controlled Phase Transition by Regulating Distribution of Na.

Angewandte Chemie, 2021
Most P2-type layered oxides exhibit a large volume change when they are charged into high voltage, and it further lead to bad structural stability. In fact, high voltage is not the reason which causes the irreversible phase transition.
Zhengbo Liu   +10 more
semanticscholar   +1 more source

Phase-Type Distributions

2014
Continuous-time Markov chainsContinuous-time Markov chain (CTMCs)CTMC seealso Continuous-time Markov chain Markov chain seealso Continuous-time Markov chain are a class of stochastic processes with a discrete state space in which the time between transitions follows an exponential distribution.
Peter Buchholz, Jan Kriege, Iryna Felko
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Time-Dependent Reliability Analysis of Deteriorating Structures Based on Phase-Type Distributions

IEEE Transactions on Reliability, 2020
This paper develops a method for the time-dependent reliability analysis of deteriorating structures using phase-type (PH) distributions. The deteriorating model consists of two aspects: the progressive deterioration posed by aging effects, and the shock
Junxiang Li   +2 more
semanticscholar   +1 more source

Multivariate finite-support phase-type distributions

Journal of Applied Probability, 2020
AbstractWe introduce a multivariate class of distributions with support I, a k-orthotope in $[0,\infty)^{k}$ , which is dense in the set of all k-dimensional distributions with support I. We call this new class ‘multivariate finite-support phase-type distributions’ (MFSPH). Though we generally define MFSPH distributions on any finite k-orthotope in $[
Celeste R. Pavithra, T. G. Deepak
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Bilateral Phase Type Distributions

Stochastic Models, 2005
Abstract A new class of probability distributions called “bilateral phase type distributions (BPH)” on (−∞, ∞) is defined as a generalization of the versatile class of phase type (PH) distributions on [0, ∞) introduced by Marcel F. Neuts. We derive the basic descriptors of such distributions in an algorithmically tractable manner and show that this ...
Soohan Ahn, V. Ramaswami
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Approximations of availability function using phase type distribution

Quarterly Journal of the Operational Research Society of India (OPSEARCH), 2022
Y. Sarada, R. Shenbagam
semanticscholar   +1 more source

Operating room scheduling problem under uncertainty: Application of continuous phase-type distributions

IISE Transactions, 2019
This article studies the stochastic Operating Room (OR) scheduling problem integrated with a Post-Anesthesia Care Unit (PACU), the overall problem is called the Operating Theater Room (OTR) problem. Due to the inherent uncertainty in surgery duration and
Mohsen Varmazyar   +3 more
semanticscholar   +1 more source

A New Class of Multivariate Phase Type Distributions

Operations Research, 1989
A new class of multivariate phase type distributions (denoted by MPH*) is defined, based upon the total accumulated reward until absorption in a finite state, continuous time Markov chain. This new class is shown to be a strict superset of the class of multivariate phase type distributions MPH introduced by Assaf, Langberg, Savits and Shaked.
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