Two-interdependent-performance multi-state system: Definitions and reliability evaluation. (July 2020)

• Record Type: Journal Article
• Authors: Shao, Changzheng; Ding, Yi
• Is Part Of: Reliability engineering & system safety. Volume 199(2020)
• Publication Date: 2020-07
• Subjects: Index terms—multi-state system -- Two-interdependent-performance -- Reliability evaluation -- Universal generating function; Reliability (Engineering) -- Periodicals; System safety -- Periodicals; Industrial safety -- Periodicals; Fiabilité -- Périodiques; Sécurité des systèmes -- Périodiques; Sécurité du travail -- Périodiques; 620.00452
• DOI: 10.1016/j.ress.2020.106883
• Languages: English
• ISSNs: 0951-8320

Abstract

Highlights: Multi-state system model is extended to the case where systems require two interdependent performance variables. The two interdependent performances multi-state system (TIP-MSS) model is developed. The performance rate of each state is represented by a performance trade-off curve. The TIP universal generating function (TIP-UGF) is developed to evaluate the reliability of the TIP-MSS. Abstract: Many engineering systems are designed to complete two tasks simultaneously and therefore need to consider two interdependent performance measures. For example, a combined heat and power (CHP) system requires two interdependent performance variables of heat power and electric power to measure its reliability. The operation of such a two-interdependent-performance multi-state system (TIP-MSS) is usually constrained by a two-dimension feasible operating region (FOR) specific to the state. Hence, the performance rate of the TIP-MSS system in each state should be represented by the upper boundary of the FOR corresponding to the concept of "capacity" in the single-performance MSS model. Considering the interdependence between the performance variables, the concept and definitions of the TIP-MSS are proposed. An object, i.e., the performance trade-off curve, is utilized to represent the performance rates. The universal generating function (UGF) method is extended to represent the performance distribution of a TIP-MSS. Moreover, different composition operators are defined for analyzing the reliability of TIP-MSS with parallel/series structures. The availability criterion based on the TIP-UGF method is also proposed. Finally, the proposed models and methods are illustrated by two numerical examples.