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Journal of the Operational Research Society Volume 46, 1995 - Issue 11
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Theoretical Paper

On Computations of the Mean and Variance of the Number of Renewals: a Unified Approach

M. L. ChaudhryRoyal Military College of Canada
Pages 1352-1364 | Received 01 Aug 1993, Accepted 01 Feb 1995, Published online: 20 Dec 2017

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Chiranjit Mukhopadhyay & MathewsP. Samuel. (2010) Bayesian Analysis of a Superimposed Renewal Process. Communications in Statistics - Theory and Methods 40:2, pages 279-303.
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Tongdan Jin & Lakshmana S. Gonigunta. (2010) Exponential approximation to Weibull renewal with decreasing failure rate. Journal of Statistical Computation and Simulation 80:3, pages 273-285.
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Tongdan Jin & Lakshmana Gonigunta. (2008) Weibull and Gamma Renewal Approximation Using Generalized Exponential Functions. Communications in Statistics - Simulation and Computation 38:1, pages 154-171.
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Lun Ran, Lirong Cui & M. Xie. (2006) Some Analytical and Numerical Bounds on the Renewal Function. Communications in Statistics - Theory and Methods 35:10, pages 1815-1827.
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NataliaM. Markovich & UdoR. Krieger. (2006) Nonparametric Estimation of the Renewal Function by Empirical Data. Stochastic Models 22:2, pages 175-199.
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BernardF. Lamond & ManbirS. Sodhi. (2006) Minimizing the expected processing time on a flexible machine with random tool lives. IIE Transactions 38:1, pages 1-11.
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Lirong Cui & M. Xie. (2003) Some Normal Approximations for Renewal Function of Large Weibull Shape Parameter. Communications in Statistics - Simulation and Computation 32:1, pages 1-16.
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Articles from other publishers (14)

R. Jiang. (2019) Two approximations of renewal function for any arbitrary lifetime distribution. Annals of Operations Research 311:1, pages 151-165.
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R. Jiang. (2020) A novel two-fold sectional approximation of renewal function and its applications. Reliability Engineering & System Safety 193, pages 106624.
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Tongdan Jin. 2019. Reliability Engineering and Service. Reliability Engineering and Service 211 257 .
Hadi Alizadeh Noughabi. (2015) Entropy Estimation Using Numerical Methods. Annals of Data Science 2:2, pages 231-241.
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Brent Fisher & Mohan Chaudhry. (2014) Computing the Distribution for the Number of Renewals with Bulk Arrivals. INFORMS Journal on Computing 26:4, pages 885-892.
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Mohan L. Chaudhry, Xiaofeng Yang & Boon Ong. (2013) Computing the Distribution Function of the Number of Renewals. American Journal of Operations Research 03:03, pages 380-386.
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T. Bentrcia, L.H. Mousss, N.K. Mouss, F. Yalaoui & A. Bensmaine. (2012) Genetic Algorithm Based Approaches for the Modified Weibull Renewal Approximation. IFAC Proceedings Volumes 45:6, pages 1672-1677.
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R. Jiang. (2010) A simple approximation for the renewal function with an increasing failure rate. Reliability Engineering & System Safety 95:9, pages 963-969.
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Bernard F. Lamond. (2010) Dynamic speed adjustment of a machine tool. Dynamic speed adjustment of a machine tool.
Ramón M. Rodríguez-Dagnino & Hideaki Takagi. (2010) Application of renewal theory to call handover counting and dynamic location management in cellular mobile networks. European Journal of Operational Research 204:1, pages 1-13.
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W. John Braun, Wei Li & Yiqiang Q. Zhao. (2005) Properties of the geometric and related processes. Naval Research Logistics (NRL) 52:7, pages 607-616.
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Tadashi Dohi, Naoto Kaio & Shunji Osaki. 2002. Stochastic Models in Reliability and Maintenance. Stochastic Models in Reliability and Maintenance 1 30 .
N.M. Markovitch & U.R. Krieger. (2000) Estimation of the renewal function by empirical data-a Bayesian approach. Estimation of the renewal function by empirical data-a Bayesian approach.
A. Garg & J.R. Kalagnanam. (1998) Approximations for the renewal function. IEEE Transactions on Reliability 47:1, pages 66-72.
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