Efficient reliability approximation for large k-out-of-n cold standby systems with position-dependent component lifetime distributions

Wang, Chaonan; Wang, Xiaolei; Xing, Liudong; Guan, Quanlong; Yang, Chunhui; Yu, Min

doi:10.1016/j.ress.2023.109548

Cited by 4 publications

(7 citation statements)

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“…In this step, the mathematical model can be defined as BSS, for the evaluation of two performance levels, or MSS, for the analysis of more than two performance levels. Most studies of UAV fleet reliability and its special aspects are based on BSS [3], [4], [6], [13] - [16], [28], [30]. The topological aspects of UAV fleets closely correlate with reliability and are taken into account in fleet reliability.…”

Section: The Problem State Analysis: Methods For Reliability Evaluati...mentioning

confidence: 99%

“…BSS k-out-of-n system, for example, is used in [16] as the mathematical model for the definition of the fleet structure (triangular and quadrilateral UAV fleets) depending on conditional reliability, conditional failure rate, and remaining useful life. Influences of system parameters k and n on fleet reliability are shown by empirical studies in [6]. The research of UAV fleet redundancy [13], [14] - [16], [27] allows the analysis of two fleet states (operational and fault), but a more detailed investigation is not possible based on BSS, for example, fleet degradation.…”

Section: The Problem State Analysis: Methods For Reliability Evaluati...mentioning

confidence: 99%

“…Therefore, in this paper, the hot stable redundancy is used for the definition of the topology of the redundant UAV fleet. The redundant UAV fleet is typically a k-out-of-n system in reliability analysis [6], [16]. The structure function of this system is defined as the unit of the minimal paths.…”

Section: A Mss Structure Function Background For a Uav Fleetmentioning

confidence: 99%

“…One of the important conditions for the successful applications of UAVs or UAV fleets is their reliability [5]. Reliability is a complex characteristic of the system which includes several metrics, indices, and measures [6], [7]. There are many studies on the reliability analysis and evaluation of a single UAV [8].…”

Section: Introductionmentioning

confidence: 99%

“…Most of the investigations in UAV fleet reliability analysis are based on the use of BSS. For example, BSS as mathematical model is used in studies [6], [13] - [16]. The use of MSS for reliability analysis of UAV fleets allows us to consider fleet behavior in more detail.…”

Section: Introductionmentioning

confidence: 99%

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Availability of UAV Fleet Evaluation Based on Multi-State System

Zaitseva,

Levashenko,

Mysko

et al. 2024

IEEE Access

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Unmanned Aerial Vehicle (UAV) applications are extended extremely. Some applications need to use several UAVs for a general mission which can be considered a UAV fleet. One of the important characteristics for the evaluation of a UAV or UAV fleet is reliability. There are studies in which methods for analysis of their reliability are considered. Reliability analysis of UAV fleets is less frequently studied, although a single UAV cannot be performed in many applications and requires the involvement of multiple UAVs. Typically, this analysis is based on evaluating two states as operational/functioning and faulting. This paper proposes a new method to calculate the availability of a UAV fleet as one of the reliability characteristics. Unlike well-known UAV fleet analysis approaches, in this paper, the availability is studied based on a mathematical model of a Multi-State System (MSS). MSS allows us to examine more than two states (operational and faulty) of the system, so this analysis is more detailed. In this paper, based on MSS, the analysis of various topologies of UAV fleets is implemented. This mathematical model is used for the analysis and evaluation of topologies of homogeneous and heterogeneous UAV fleets, which can be irredundant or redundant hot stable systems. The interpretations of different topologies of fleets as typical structures of MSS (series, parallel, k-out-of-n) are considered. New mathematical definitions of the availability of UAV fleets of different topologies based on MSS structure function are proposed. These definitions allowed us to consider the influence of the number of UAVs on the UAV fleet availability and compare the availabilities of considered topologies of fleets.

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