武器装备体系贡献率评估灰色Shapley值模型

doi:10.16381/j.cnki.issn1003-207x.2021.1233

Abstract

Abstract:

Aiming at the problem that the existing system contribution rate evaluation method， i.e.， “With or without” comparison method， ignores the emergence effect between equipment， a system effectiveness contribution rate evaluation framework from the perspective of a cooperative game is proposed in this work. First， equipment is regarded as participants in the cooperative game and forms different alliances of a cooperative game； then， considering the complexity of the system effectiveness evaluation process， the uncertain information and other characteristics， the interval grey number is used to characterize the relevant parameters， and the grey ADC model is designed to measure the characteristic function of each alliance； on this basis， a grey Shapley value model is constructed and the calculation formula is given according to the marginal contribution of equipment to the overall system efficiency so that the efficiency can be fairly and reasonably allocated to each equipment， and their respective contribution rates are calculated. Finally， the calculation of the system contribution rate of a certain air defense missile weapon system is taken as an example to illustrate the effectiveness of the proposed method.

Key words: system contribution rate evaluation, grey Shapley model, ADC model, interval grey number

CLC Number:

Liangyan Tao,Li Wang,Xiaoxia Qi,Ding Chen,Sifeng Liu. On Grey Shapley Value Model for Evaluating the Contribution Rate of Weapon Equipment System[J]. Chinese Journal of Management Science, 2024, 32(4): 89-96.

Figures/Tables 3

$S'$	$H$	$N ∪ {H}$	$N ∪ {H, X}$
$? S'$	$0$	$[0.7339,0.8269]$	$[1.0932,1.2883]$
$? S' \ H$	$0$	$[0.6726,0.6963]$	$[0.9281,1.0812]$
$? S' - ? S' \ H$	$0$	$[0.0376,0.1570]$	$[0.0120,0.3602]$
$S'$	$1$	$2$	$3$
$ω S'$	$13$	$16$	$13$
$ω S' (? S' - ? S' \ H)$	$0$	$[0.0063,0.0262]$	$[0.0040,0.1201]$

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装备	灰色Shapley值法	“有无对比法”
后勤支援子系统H	[0.80%, 13.37%]	[5.40%, 23.34%]
信息感知子系统X	[9.82%, 23.13%]	[33.29%, 60.75%]

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On Grey Shapley Value Model for Evaluating the Contribution Rate of Weapon Equipment System

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