This article is cited in 3 papers

Controlled Semi-Markov Processes with Constraints on Control Strategies and Construction of Optimal Strategies in Reliability and Safety Models

V. A. Kashtanov^ab, O. B. Zaiceva^b, A. A. Efremov<sup>a

a</sup> National Research University "Higher School of Economics", Moscow
^b Moscow Aviation Institute (National Research University)

Abstract: We study the structure of a distribution for which a linear fractional functional attains an extremum in the case of uncountably many linear constraints. Several examples of how these mathematical results can be used to analyze controlled reliability and safety models are given.

Keywords: controlled semi-Markov process, control strategy, linear-fractional functional, optimization problem.

UDC: 519.8

Received: 09.12.2020

DOI: 10.4213/mzm12972

 English version: Mathematical Notes, 2021, 109:4, 585–592

Bibliographic databases:

• 
• 
•