Dynamic Analysis of a Standby System with Retrial Strategies and Multiple Working Vacations.

Autor:	Lai, Changjiang, Kasim, Ehmet, Muhammadhaji, Ahmadjan
Předmět:	CAUCHY problem BANACH spaces RELIABILITY in engineering DYNAMICAL systems NEW trials
Zdroj:	Mathematics (2227-7390); Dec2024, Vol. 12 Issue 24, p3999, 34p
Abstrakt:	In this paper, we developed a new standby system that combines a retrial strategy with multiple working vacations, and we performed a dynamic analysis of the system. We investigated its well−posedness and asymptotic behavior using the theory of the C 0 − semigroup in the functional analysis. First, the corresponding model was transformed into an abstract Cauchy problem in Banach space by introducing the state space, the main operator, and its domain of definition. Second, we demonstrated that the model had a unique non−negative time−dependent solution. Using Greiner's boundary perturbation idea and the spectral properties of the corresponding operator, the non−negative time−dependent solution strongly converged to its steady−state solution. We also provide numerical examples to illustrate the effect of different parameters on the system's reliability metrics. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.