Fifty years of reliability in operations research

T Aven, DR Insua, R Soyer, X Zhu, E Zio - European Journal of Operational …, 2024 - Elsevier
This paper provides an overview of the historical evolution of reliability in the scientific area
of operations research. Historical views and future perspectives are specifically offered with …

A bivariate two-state Markov modulated Poisson process for failure modeling

YG Yera, RE Lillo, BF Nielsen, P Ramírez-Cobo… - Reliability Engineering & …, 2021 - Elsevier
Motivated by a real failure dataset in a two-dimensional context, this paper presents an
extension of the Markov modulated Poisson process (MMPP) to two dimensions. The one …

Call center data modeling: a queueing science approach based on Markovian arrival process

M Gonzalez Bernal, RE Lillo… - Quality Technology & …, 2024 - Taylor & Francis
In this paper we analyze the well-known 'Anonymous bank'call center dataset from a
queueing science viewpoint. For this purpose, fitted distributions for both the inter-arrival and …

Fitting procedure for the two-state Batch Markov modulated Poisson process

YG Yera, RE Lillo, P Ramírez-Cobo - European Journal of Operational …, 2019 - Elsevier
Abstract The Batch Markov Modulated Poisson Process (BMMPP) is a subclass of the
versatile Batch Markovian Arrival Process (BMAP) which has been proposed for the …

Bayesian analysis of Markov modulated queues with abandonment

A Ay, J Landon, S Özekici… - Applied Stochastic Models …, 2024 - Wiley Online Library
We consider a Markovian queueing model with abandonment where customer arrival,
service and abandonment processes are all modulated by an external environmental …

Analysis of an aggregate loss model in a Markov renewal regime

P Ramírez-Cobo, E Carrizosa, RE Lillo - Applied Mathematics and …, 2021 - Elsevier
In this article we consider an aggregate loss model with dependent losses. The loss
occurrence process is governed by a two-state Markovian arrival process (MAP 2), a Markov …

Analytical issues regarding the lack of identifiability of the non-stationary MAP2

J Rodríguez, RE Lillo, P Ramírez-Cobo - Performance Evaluation, 2016 - Elsevier
This paper studies in detail different problems concerning the identifiability of the non-
stationary version of the MAP 2. First, a matrix-based methodology to build equivalent …

Call center data modeling: a queueing science approach based on Markovian arrival processes

M González, RE Lillo, J Ramírez Cobo - 2024 - rodin.uca.es
In this paper we analyze the well-known “Anonymous bank” call center dataset from a
queueing science viewpoint. For this purpose, fitted distributions for both the inter-arrival and …

[PDF][PDF] Findings about the two-state BMMPP for modeling point processes in reliability and queueing systems

Y Yera, R Lillo, P Ramırez-Cobo - Applied Stochastic Models in …, 2018 - e-archivo.uc3m.es
Abstract The Batch Markov Modulated Poisson Process (BMMPP) is a subclass of the
versatile Batch Markovian Arrival process (BMAP) which have been widely used for the …

Findings about the BMMPP for modeling dependent and simultaneous data in reliability and queueing systems

YG Yera, RE Lillo… - Applied Stochastic Models …, 2019 - Wiley Online Library
The batch Markov‐modulated Poisson process (BMMPP) is a subclass of the versatile batch
Markovian arrival process (BMAP), which has been widely used for the modeling of …