6 papers · 1 filter
Algorithmic analysis of a complex reliability system subject to multiple events with a preventive maintenance strategy and a Bernoulli vacation policy through MMAPs
Juan Eloy Ruiz-Castro, Hugo AlaÃn Zapata-Ceballos
In this work, a single-unit multi-state system is considered. The system is subject to internal failures, as well as external shocks with multiple consequences. It also incorporate…
MMAPs to model complex multi-state systems with vacation policies in the repair facility
Juan Eloy Ruiz-Castro, Christian Acal
Two complex multi-state systems subject to multiple events are built in an algorithmic and computational way by considering phase-type distributions and Markovian arrival processes…
One cut-point phase-type distributions in Reliability. An application to Resistive Random Access Memories
Christian Acal, Juan Eloy Ruiz-Castro, David Maldonado +1
A new probability distribution to study lifetime data in reliability is introduced in this paper. This one is a first approach to a non-homogeneous phase-type distribution. It is b…
An approach to non-homogenous phase-type distributions through multiple cut-points
Juan Eloy Ruiz-Castro, Christian Acal, Juan B. Roldán
A new class of distributions based on phase-type distributions is introduced in the current paper to model lifetime data in the field of reliability analysis. This one is the natur…
A shiny app for modeling the lifetime in primary breast cancer patients through phase-type distributions
Christian Acal, Elena Contreras, Ismael Montero +1
Phase-type distributions (PHDs), which are defined as the distribution of the lifetime up to the absorption in an absorbent Markov chain, are an appropriate candidate to model the…
Algorithmic modelling of a complex redundant multi-state system subject to multiple events, preventive maintenance, loss of units and a multiple vacation policy through a MMAP
Juan Eloy Ruiz-Castro, Hugo AlaÃn Zapata-Ceballos
A complex multi-state redundant system undergoing preventive maintenance and experiencing multiple events is being considered in a continuous time frame. The online unit is suscept…