RENEWAL PROCESS WITH FUZZY INTERARRIVAL TIMES AND REWARDS-Reference-Cited by-同舟云学术

RENEWAL PROCESS WITH FUZZY INTERARRIVAL TIMES AND REWARDS

Published:2003-10 Issue:05 Volume:11 Page:573-586
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

ZHAO RUIQING¹,LIU BAODING²

Affiliation:

1. Uncertainty Theory Laboratory, Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

2. Uncertainty Theory Laboratory, Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Abstract

This paper considers a renewal process in which the interarrival times and rewards are characterized as fuzzy variables. A fuzzy elementary renewal theorem shows that the expected number of renewals per unit time is just the expected reciprocal of the interarrival time. Furthermore, the expected reward per unit time is provided by a fuzzy renewal reward theorem. Finally, a numerical example is presented for illustrating the theorems introduced in the paper.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488503002338

Reference19 articles.

1. Superposed continuous renewal processes A Markov renewal approach

2. The mean value of a fuzzy number

3. Pairs of renewal processes whose superposition is a renewal process

4. The expected value of a fuzzy number

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