A time-non-homogeneous double-ended queue with failures and repairs and its continuous approximation

DOI10.3390/math6050081zbMath1524.60230OpenAlexW2801331711WikidataQ63434396 ScholiaQ63434396MaRDI QIDQ6161967

Virginia Giorno, Amelia G. Nobile, Antonio Di Crescenzo, B. Krishna Kumar

Publication date: 15 June 2023

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6050081

zbMATH Keywords

transition densitiescatastrophesrepairsfirst-passage-timetransient probabilitiesdouble-ended queuesperiodic intensity functionstime-non-homogeneous birth-death processestime-non-homogeneous jump-diffusion processes

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (13)

Double-ended queues with non-Poisson inputs and their effective algorithms ⋮ Fractional Erlang queues ⋮ On a class of birth-death processes with time-varying intensity functions ⋮ Stationary analyses for a double-ended queueing system with random service capacity and balking customers ⋮ On a time-inhomogeneous diffusion process with discontinuous drift ⋮ Matched queues with flexible and impatient customers ⋮ On limiting characteristics for a non-stationary two-processor heterogeneous system with catastrophes, server failures and repairs ⋮ On limiting characteristics for a non-stationary two-processor heterogeneous system ⋮ On three methods for bounding the rate of convergence for some continuous-time Markov chains ⋮ First-passage times and related moments for continuous-time birth-death chains ⋮ Time-inhomogeneous Feller-type diffusion process with absorbing boundary condition ⋮ On the construction of a special class of time-inhomogeneous diffusion processes ⋮ On some integral equations for the evaluation of first-passage-time densities of time-inhomogeneous birth-death processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On some time non-homogeneous queueing systems with catastrophes
• Analysis of reflected diffusions via an exponential time-based transformation
• The single server queue with catastrophes and geometric reneging
• Constructing transient birth-death processes by means of suitable transformations
• A note on birth-death processes with catastrophes
• A continuous-time Ehrenfest model with catastrophes and its jump-diffusion approximation
• On modeling failure and repair times in stochastic models of manufacturing systems using generalized exponential distributions
• A continuous-time Markov chain under the influence of a regulating point process and applications in stochastic models with catastrophes
• A state-dependent queueing system with asymptotic logarithmic distribution
• On the M/M/1 queue with catastrophes and its continuous approximation
• Double-ended queues with impatience
• A double-ended queue with catastrophes and repairs, and a jump-diffusion approximation
• A double-ended queueing model for dynamic allocation of live organs based on a best-fit criterion
• Alternative approaches for the transient analysis of Markov chains with catastrophes
• Fluid and diffusion approximations of probabilistic matching systems
• Limiting characteristics for finite birth-death-catastrophe processes
• Computation of the optimal policy for the control of a compound immigration process through total catastrophes
• Performance Analysis of Manufacturing Systems
• Diffusion Models for Double-ended Queues with Renewal Arrival Processes
• Transient Analysis for State-Dependent Queues with Catastrophes
• On some time-non-homogeneous diffusion approximations to queueing systems
• Queueing modeling of a single processor with failures
• Perturbation Bounds forM_t/M_t/NQueue with Catastrophes
• The Double-Ended Queue with Bulk Service and Limited Waiting Space
• Transient behaviour of a double ended Markovian queue
• The Frequency Distribution of the Difference Between Two Poisson Variates Belonging to Different Populations
• On a synchronization queue with two finite buffers

This page was built for publication: A time-non-homogeneous double-ended queue with failures and repairs and its continuous approximation