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Renewal theory

open access: yesAdvances in Operation Research and Production Management
Renewal theory originated from research on component failure and replacement. It has since developed into a key framework for analysing systems of repeated events within applied probability. This paper reviews the key concepts and principal findings in this field, while demonstrating several of its applications.
Cox, David R.
openaire   +2 more sources

Excess-time Renewal Theory with Applications

open access: yesJournal of the Operational Research Society, 1990
In this paper, the renewal theory is investigated from the point of view of the excess-time (non-excess-time) renewal intervals. Useful results are derived, and applications to several renewal models are given.
Tsoukalas, M., Agrafiotis, G.K.
exaly   +3 more sources
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On the Theory of Markov Renewal

Theory of Probability & Its Applications, 1985
Translation from Teor. Veroyatn. Primen. 29, No.2, 248-263 (Russian) (1984; Zbl 0544.60082).
openaire   +1 more source

Renewal theory. Queueing theory

2009
Queueing theory was founded by Danish scientist A. Erlang who worked for the Copenhagen Telephone Exchange for many years at the beginning of the twentieth century. The works of F. Pollaczek, A. Khinchin, L. Takacs, and also B. Gnedenko and his school had significant influence on the development of queueing theory.
Dmytro Gusak   +4 more
openaire   +1 more source

Renewal Theory

Revue de l'Institut International de Statistique / Review of the International Statistical Institute, 1964
T. Kitagawa, D. R. Cox
  +4 more sources

An operational view on renewal theory

Proceedings of the 1983 ACM SIGMETRICS conference on Measurement and modeling of computer systems - SIGMETRICS '83, 1983
In this paper we derive a formula for the moments of the residual life in operational context, and show that the Paradox of Residual Life holds also in a finite queueing model. In addition, we prove the renewal theorem, show that forward and backward times are independent, and state the memoryless property.
openaire   +1 more source

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