Keyword: renewal processes

Found 22 papers in total
Ergodicity of forward times of the renewal process in a block‐based inspection model using the delay time concept
Ergodicity of forward times of the renewal process in a block‐based inspection model using the delay time concept
2012,
The delay time concept and the techniques developed for modelling and optimising plant...
Modelling imperfect maintenance and the reliability of complex systems using superposed renewal processes
Modelling imperfect maintenance and the reliability of complex systems using superposed renewal processes
2011,
In problems of maintenance optimization, it is convenient to assume that repairs are...
On open problems in polling systems
On open problems in polling systems
2011,
In the present paper we address two open problems concerning polling systems, viz.,...
Steady state analysis of a nonlinear renewal equation
Steady state analysis of a nonlinear renewal equation
2011,
In the analysis of a nonlinear renewal equation it is natural to anticipate the...
Modeling Cross Correlation in Three‐Moment Four‐Parameter Decomposition Approximation of Queueing Networks
Modeling Cross Correlation in Three‐Moment Four‐Parameter Decomposition Approximation of Queueing Networks
2011,
In two‐moment decomposition approximations of queueing networks, the arrival...
A deteriorating system with its repairman having multiple vacations
A deteriorating system with its repairman having multiple vacations
2011,
This paper considers a repairable system with a repairman, who can take multiple...
Asymptotic expansions of defective renewal equations with applications to perturbed risk models and processor sharing queues
Asymptotic expansions of defective renewal equations with applications to perturbed risk models and processor sharing queues
2010,
We consider asymptotic expansions for defective and excessive renewal equations that...
Connecting renewal age processes with M/D/1 and M/D/∞ queues through stick breaking
Connecting renewal age processes with M/D/1 and M/D/∞ queues through stick breaking
2010,
We consider the length of a busy period in the M/D/∞ queue and show that it...
Properties of a mean residual life function arising from renewal theory
Properties of a mean residual life function arising from renewal theory
2010,
The present article discusses the properties of the mean residual life function in a...
Evaluating a warm standby system with components having proportional hazard rates
Evaluating a warm standby system with components having proportional hazard rates
2009,
This paper investigates the heterogeneity of components with proportional hazard rates...
Transforming renewal processes for simulation of nonstationary arrival processes
Transforming renewal processes for simulation of nonstationary arrival processes
2009,
Simulation models of real-life systems often assume stationary (homogeneous) Poisson...
Warranty system-cost analysis using quasi-renewal processes
Warranty system-cost analysis using quasi-renewal processes
2008,
In this paper, we present two alternative quasi renewal processes based on the...
Dynamic analysis of a reward process defined on a cyclic renewal process with applications to preventive maintenance problems
Dynamic analysis of a reward process defined on a cyclic renewal process with applications to preventive maintenance problems
2009,
A cyclic renewal process is considered as an extension of an alternating renewal...
Counting the number of renewals during a random interval in a discrete-time delayed renewal process
Counting the number of renewals during a random interval in a discrete-time delayed renewal process
2007,
In a discrete-time delayed renewal process, we study the distribution of the number of...
Forward delay times in multi-phase discrete-time renewal processes
Forward delay times in multi-phase discrete-time renewal processes
1997,
A type of discrete-time Markov renewal process is considered in which the epochs at...
Imperfect maintenance
Imperfect maintenance
1996,
The maintenance of a deteriorating system is often imperfect: the system after...
Computational approximations of renewal process relating to a warranty problem: The case of phase-type lifetimes
Computational approximations of renewal process relating to a warranty problem: The case of phase-type lifetimes
1996,
This paper considers two product warranty policies proposed originally by Nguyen and...
Guidelines for corrective replacement based on low stochastic structure assumptions
Guidelines for corrective replacement based on low stochastic structure assumptions
1997,
This paper presents corrective replacement decisions, e.g. for machines in a...
Renewal-type equations for a general repair process
Renewal-type equations for a general repair process
1997,
We consider a component which undergoes instantaneous general repairs on failure....
Asymptotic expansions for the maximum of a random number of random variables
Asymptotic expansions for the maximum of a random number of random variables
1994,
The paper studies the distribution of the maximum of random variables till the...
On renewal processes relating to counter models: The cases of phase-type interarrival times
On renewal processes relating to counter models: The cases of phase-type interarrival times
1993,
The Type I and Type II counter models of Pyke have many applications in applied...
Some characterizations of the Poisson process and geometric renewal process
Some characterizations of the Poisson process and geometric renewal process
1993,
Let and denote the residual life at t and current life at t , respectively, of a...
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