Purpose

During the service period of communication satellite systems, their performance is often degraded due to the depletion mechanism. In this paper, the grey system theory is applied to the multi-state system effectiveness evaluation and the grey Lz-transformation ADC (availability, dependability and capability) effectiveness evaluation model is constructed to address the characteristics of the communication satellite system such as different constituent subsystems, numerous states and the inaccuracy and insufficiency of data.

Design/methodology/approach

The model is based on the ADC effectiveness evaluation method, combined with the Lz transformation and uses the definite weighted function of the three-parameter interval grey number as a bridge to incorporate the possibility of system performance being greater than the task demand into the effectiveness solution algorithm. At the same time, using MATLAB (Matrix laboratory) to solve each state probability, the same performance level in the Lz transform is combined. Then, the system effectiveness is obtained by Python.

Findings

The results show that the G-Lz-ADC model constructed in this paper can accurately evaluate the effectiveness of static/dynamic systems and certain/uncertain system and also has better applicability in evaluating the effectiveness of the multi-state complex system.

Practical implications

The G-Lz-ADC effectiveness evaluation model constructed in this paper can effectively reduce the complexity of traditional effectiveness evaluation models by combining the same performance levels in the Lz-transform and solving the effectiveness of the system with the help of computer programming, providing a new method for the effectiveness evaluation of the complex MSS. At the same time, the weaknesses of the system can be identified, providing a theoretical basis for improving the system’s effectiveness.

Originality/value

The possibility solution method based on the definite weighted function comparing the two three-parameter interval grey numbers is constructed, which compensates for the traditional calculation of the probability based on numerical values and subjective preferences of decision-makers. Meanwhile, the effectiveness evaluation model integrates the basic theories of three-parameter interval grey number and its definite weighted function, Grey−Markov, grey universal generating function (GUGF), grey multi-state system (GMSS), etc., which is an innovative method to solve the effectiveness of a multi-state instantaneous communication satellite system.

中文翻译：

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信息贫乏背景下单个通信卫星系统的综合G-Lz-ADC效能评估模型

目的

在通信卫星系统的服务期间，由于耗尽机制，它们的性能经常下降。本文将灰色系统理论应用于多态系统有效性评估，针对通信卫星系统不同组成部分等特点，构建了灰色Lz变换ADC（可用性、可靠性和能力）有效性评估模型。子系统、众多状态以及数据的不准确和不足。

设计/方法/方法

该模型基于ADC有效性评估方法，结合Lz变换，以三参数区间灰度数的定权函数为桥梁，将系统性能大于任务需求的可能性纳入有效性解算法。同时，利用MATLAB（矩阵实验室）求解各个状态概率，组合了Lz变换中相同的性能水平。然后，通过Python获得系统有效性。

发现

结果表明，本文构建的G-Lz-ADC模型能够准确评估静态/动态系统和一定/不确定系统的有效性，在评估多态复杂系统的有效性方面也具有较好的适用性。

实际影响

本文构建的 G-Lz-ADC 有效性评估模型通过在 Lz 变换中结合相同的性能级别，并借助计算机编程求解系统的有效性，可以有效降低传统有效性评估模型的复杂度，提供复杂MSS有效性评估的新方法。同时，可以找出系统的弱点，为提高系统的有效性提供理论依据。

原创性/价值

构建了基于比较两个三参数区间灰度数的定权函数的可能性求解方法，弥补了传统基于数值和决策者主观偏好的概率计算。同时，有效性评价模型集成了三参数区间灰度数及其定权函数、Grey-Markov、灰色通用生成函数（GUGF）、灰色多态系统（GMSS）等基础理论，是解决多态瞬时通信卫星系统有效性的创新方法。