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Two-interdependent-performance multi-state system: Definitions and reliability evaluation

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  • Shao, Changzheng
  • Ding, Yi

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.

Suggested Citation

  • Shao, Changzheng & Ding, Yi, 2020. "Two-interdependent-performance multi-state system: Definitions and reliability evaluation," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
  • Handle: RePEc:eee:reensy:v:199:y:2020:i:c:s0951832019305071
    DOI: 10.1016/j.ress.2020.106883
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