8 papers
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…
Optimizing a multi-state cold-standby system with multiple vacations in the repair and loss of units
Juan Eloy Ruiz-Castro
A complex multi-state redundant system with preventive maintenance subject to multiple events is considered. The online unit can undergo several types of failures: internal and tho…
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…