Abstract
A method is proposed for determining the reliability characteristics of a batch of units under stationary conditions. The asymptotic case is, analyzed when the number of units is large and inspection is carried out frequently. The case of high-reliability units is considered.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature Cited
B. V. Gnedenko, Yu. K. Belyaev, and A. D. Solov'ev, Mathematical Methods in Reliability Theory [in Russian], Nauka, Moscow (1965).
Yu. K. Belyaev, Probabilistic Methods of Sampling Inspection [in Russian], Nauka, Moscow (1975).
I. N. Kovalenko, Calculation of Probabilistic Characteristics of Systems [in Russian], Tekhnika, Kiev (1982).
V. S. Korolyuk and A. F. Turbin, Semi-Markov Processes and Their Applications [in Russian], Naukova Dumka, Kiev (1976).
V. V. Anisimov and V. I. Sereda, “Probabilistic inspection models for a stored batch,” in: Operations Research and MIS [in Russian], No. 19 (1982), pp. 42–49.
V. V. Anisimov, “Asymptotic state aggregation of stochastic processes,” Kibernetika, No. 3, 109–117 (1973).
V. V. Anisimov, Limit Theorems for Stochastic Processes and Their Application to Discrete Summation Schemes [in Russian], Kiev State Univ. (1976).
V. I. Sereda, “Sampling inspection of a batch of units controlled by a Markov chain,” Dokl. Akad. Nauk UkrSSR, No. 11, 64–67 (1982).
V. I. Sereda, “Optimal quality control of large batches of products,” Kibernetika, No. 5, 115–117 (1984).
Additional information
Translated from Kibernetika, No. 3, pp. 95–101, May–June, 1989.
Rights and permissions
About this article
Cite this article
Anisimov, V.V., Sereda, V.I. Sampling inspection in semi-Markov systems. Cybern Syst Anal 25, 400–408 (1989). https://doi.org/10.1007/BF01069998
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01069998