Markov chain approximation methods in a class of level-crossing problems

Autor:	Irwin Greenberg
Rok vydání:	1997
Předmět:	Inventory control Queueing theory Markov chain Stochastic process Applied Mathematics CUSUM Management Science and Operations Research Statistical process control Industrial and Manufacturing Engineering Normal distribution Statistics Applied mathematics Control chart Software Mathematics
Zdroj:	Operations Research Letters. 21:153-158
ISSN:	0167-6377
DOI:	10.1016/s0167-6377(97)00033-3
Popis:	Level-crossing problems are encountered in a number of stochastic processes such as queueing, dams, inventory and in the cumulative sum (CUSUM) charts of statistical quality control. Approximate computational methods, using Markov chains to determine expected first-crossing times in CUSUM charts, are reviewed and extended to more general stochastic processes, and examples are given. Formulas are presented when the underlying processes can be represented or approximated by either normal distributions or by generalized hyperexponential distributions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3d828c098a7e1b26cb5da03c7deeea2d https://doi.org/10.1016/s0167-6377(97)00033-3 Zobrazit plný text záznamu Full Text from ScienceDirect