高轨卫星通信星座PS-GERT效能评估模型

doi:10.3969/j.issn.1001-506X.2020.10.26

Abstract

Abstract:

The effectiveness evaluation of the satellite communication constellation can not only represent the communication capability of constellation, but also provide the basis for optimizing constellation structure. Based on the deep analysis of the constellation structure, the geostationary earth orbit (GEO) satellite communication network plus system (PS) based on the communication link is analyzed. With the help of the graphical evaluation and review technique (GERT), an equivalent transfer function algorithm based on the characteristic function and transfer probability is proposed. Firstly, on the basis of analyzing the connotation of communication link importance, the algorithm formula of communication link effectiveness and its importance is obtained, and the GEO satellite constellation PS-GERT effectiveness evaluation model is constructed. Then, the probability density function of constellation efficiency is derived by inverse Fourier transform. Finally, the analysis of a GEO satellite communication constellation is taken as an example to verify the superiority of the model constructed. It can not only comprehensively and objectively evaluate the effectiveness of the constellation, but also lay a theoretical foundation for the optimization of the constellation structure.

Key words: communication link, link effectiveness, graphical evaluation and review technique (GERT), importance, plus system (PS), effectiveness evaluation

CLC Number:

Zhigeng FANG, Ruirui SHAO, Zhao WANG, Sifeng LIU, Weiqing YOU, Su GAO. PS-GERT effectiveness evaluation model of GEO satellite communication constellation[J]. Systems Engineering and Electronics, 2020, 42(10): 2356-2365.

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References 31

1	JIANG Y , YANG S , ZHANG G X , et al. Coverage performances analysis on combined-GEO-IGSO satellite constellation[J]. Journal of Electronics, 2011, 28 (2): 228- 234.
2	WRIGHT D . Reaching out to remote and rural areas: mobile sate-llite services and the role of Inmarsat[J]. Telecommunications Policy, 1995, 19 (2): 105- 116. doi: 10.1016/0308-5961(94)00023-L
3	STAKER R. Knowledge based soft systems engineering for military system-of-systems[C]//Proc.of the Systems Engineering Test & Evaluation Conference, 2000: 213-221.
4	刘旭光, 孔德强, 李浩, 等. 一种卫星通信系统效能评估方法研究[J]. 航天电子对抗, 2012, 28 (5): 32- 35.
	LIU X G , KONG D Q , LI H , et al. An effectiveness evaluation method of satellite communication system[J]. Aerospace Electronic Countermeasure, 2012, 28 (5): 32- 35.
5	PIRZADEH H , SWINDLEHURST A L . Spectral effectiveness of mixed-ADC massive MIMO[J]. IEEE Trans.on Signal Processing, 2018, 66 (13): 3599- 3613. doi: 10.1109/TSP.2018.2833807
6	IREM O , BASAR O , SEZIC O , et al. Multi-expert performance evaluation of healthcare institutions using an integrated intuitioni-stic fuzzy AHP & DEA methodology[J]. Knowledge-Based Systems, 2017, 133, 90- 106. doi: 10.1016/j.knosys.2017.06.028
7	GU H , SONG B F . Study on effectiveness evaluation of weapon systems based on grey relational analysis and TOPSIS[J]. Journal of Systems Engineering and Electronics, 2009, 20 (1): 106- 111.
8	JIA N P , YANG Z W , YANG K W . Operational effectiveness evaluation of the swarming UAVs combat system based on a system dynamics model[J]. IEEE Access, 2019, 7, 25209- 25224. doi: 10.1109/ACCESS.2019.2898728
9	GAO F , SONG F , HUANG G Q , et al. Study on the effectiveness evaluation of the weapon equipment based on artificial neural network[J]. Advanced Materials Research, 2014, 926-930, 3262- 3265. doi: 10.4028/www.scientific.net/AMR.926-930.3262
10	SU C L , LAN C K , CHOU T C , et al. Performance evaluation of multiagent systems for navy shipboard power system restoration[J]. IEEE Trans.on Industry Applications, 2015, 51 (4): 2769- 2779. doi: 10.1109/TIA.2015.2394375
11	胡晓峰, 贺筱媛, 饶德虎, 等. 基于复杂网络的体系作战指挥与协同机理分析方法研究[J]. 指挥与控制学报, 2015, 1 (1): 5- 13.
	HU X F , HE X Y , RAO D H , et al. Research on mechanism of command and coordination for system of systems operation based on complex network theory[J]. Journal of Command and Control, 2015, 1 (1): 5- 13.
12	罗凯, 张明智, 吴曦. 基于作战环的空间信息时效网关键节点分析模型[J]. 系统工程与电子技术, 2016, 38 (7): 1572- 1576.
	LUO K , ZHANG M Z , WU X . Key nodes analysis model for space information temporal network based on operation loop[J]. Systems Engineering and Electronics, 2016, 38 (7): 1572- 1576.
13	XIONG B , LI B X , FAN R , et al. Modeling and simulation for effectiveness evaluation of dynamic discrete military supply chain networks[J]. Complexity, 2017, 6052037.
14	YANG H T, WANG X M, ZHAO H L. The modeling, simulation and effectiveness evaluation for communication networks of multi-layer satellites constellation[C]//Proc.of the International Conference on Computational Intelligence and Security, 2006.
15	ZHU Y , SHENG M , LI J D , et al. Performance analysis of intermittent satellite links with time-limited queuing model[J]. IEEE Communications Letters, 2018, 22 (11): 2282- 2285. doi: 10.1109/LCOMM.2018.2866570
16	林琪, 李智. 基于拓扑特征的卫星网络效能评估[J]. 中南大学学报(自然科学版), 2013, 44 (S2): 368- 371.
	LIN Q , LI Z . Performance evaluation of satellite-network based on topologic characteristics[J]. Journal of Central South University (Science and Technology), 2013, 44 (S2): 368- 371.
17	SHAO R R , FANG Z G , GAO S , et al. G-BDP-ADC model for effectiveness evaluation of low orbit satellite communication system in the context of poor information[J]. IEEE Access, 2019, 7, 157489- 157505. doi: 10.1109/ACCESS.2019.2949595
18	PAN X, HE C J, WEN T J. A SOS reliability evaluate approach based on GERT[C]//Proc.of the Annual Reliability and Maintainability Symposium, 2015.
19	MANJU A , KANWAR S , POOJA M . GERT analysis of m-consecutive-k-out-of-n systems[J]. IEEE Trans.on Reliabi-lity, 2007, 56 (1): 26- 34. doi: 10.1109/TR.2006.890894
20	WU Y , PAN X , KANG R , et al. Multi-parameters uncertainty analysis of logistic support process based on GERT[J]. Journal of Systems Engineering and Electronics, 2014, 25 (6): 1011- 1019. doi: 10.1109/JSEE.2014.00116
21	BERNARD W T , LAURENCE J M , HAMMESFAHR R D . Global analysis of a multi-product, multi-line production system using q-gert modeling and simulation[J]. American Institute of Industrial Engineers Transactions, 1980, 12 (2): 145- 155.
22	陶良彦, 刘思峰, 方志耕, 等. GERT网络的矩阵式表达及求解模型[J]. 系统工程与电子技术, 2017, 39 (6): 1292- 1297.
	TAO L Y , LIU S F , FANG Z G , et al. Matrix representation model and its solution of GERT network[J]. Systems Engineering and Electronics, 2017, 39 (6): 1292- 1297.
23	陶良彦, 刘思峰, 方志耕, 等. 以特征函数为传递参数的CF-GERT及其矩阵法求解[J]. 系统工程理论与实践, 2018, 38 (2): 509- 521.
	TAO L Y , LIU S F , FANG Z G , et al. CF-GERT model conveying characteristic function and its matrix solution[J]. Systems Engineering-Theory & Practice, 2018, 38 (2): 509- 521.
24	刘红旗, 方志耕, 陶良彦. 复杂装备研制项目进度规划GERT网络"反问题"模型[J]. 系统工程与电子技术, 2015, 37 (12): 2758- 2763.
	LIU H Q , FANG Z G , TAO L Y . Complex equipmentdevelopment project planning GERT network"inverse problem"model[J]. Systems Engineering and Electronics, 2015, 37 (12): 2758- 2763.
25	刘思峰, 俞斌, 方志耕, 等. 灰色价值流动G-G-GERT网络模型及其应用研究[J]. 中国管理科学, 2009, 17 (S): 28- 33.
	LIU S F , YU B , FANG Z G , et al. Study on a new G-GERT network model and its application based on value flow process[J]. Chinese Journal of Management Science, 2009, 17 (S): 28- 33.
26	USHAKOV N G . Selected topics in characteristic functions[M]. New York: Walter de Cruyter, 1999.
27	何玉钧, 周生平, 刘毅. 基于ADC法的电力通信网效能评估模型[J]. 华北电力大学学报:自然科学版, 2017, 44 (1): 76- 81.
	HE Y J , ZHOU S P , LIU Y . Effectiveness evaluation model of electric power communication network based on ADC method[J]. Journal of North China Electric Power University (Natural Science Edition), 2017, 44 (1): 76- 81.
28	FANG F , OOSTERLEE K . A novel pricing method for European options based on Fourier-cosine series expansions[J]. SIAM Journal on Scientific Computing, 2008, 31 (2): 826- 848.
29	CHANDRASEKHAR M G , VENUGOPAL D , SEBASTIAN M , et al. One way multimedia broadcasting as a tool for education and development in developing nations[J]. Acta Astronautica, 2000, 47 (2/9): 657- 664.
30	唐鑫, 杨建军, 张磊. 改进信息熵的新装备体系作战效能评估方法研究[J]. 舰船电子工程, 2016, 36 (7): 128- 133.
	TANG X , YANG J J , ZHANG L . Evalution approach for operation effectiveness of new equipment by improved information entropy[J]. Ship Electronic Engineering, 2016, 36 (7): 128- 133.
31	孙元顺.通信网络效能评估理论模型与仿真算法研究[D].北京:北京邮电大学, 2018.
	SUN Y S. Research on theoretical model and simulation algorithm of communication network efficiency evaluation[D]. Beijing: Beijing University of Posts and Telecommunications, 2018.

通信活动(j，k)	活动概率P_jk	执行通信实体j	实体j通信活动效能分布	特征函数E_jk	传递函数W_jk
(US, GEO₁)	0.3	US	N(0.88, 0.05)	exp(0.88it-0.025t²)	0.3exp(0.88it-0.025t²)
(US, GEO₂)	0.4	US	N(0.83, 0.06)	exp(0.83it-0.03t²)	0.4exp(0.83it-0.03t²)
(US, GEO₃)	0.3	US	N(0.79, 0.01)	exp(0.79it-0.005t²)	0.3exp(0.79it-0.005t²)
(GEO₁, GEO₂)	0.2	GEO₁	N(0.63, 0.07)	exp(0.63it-0.035t²)	0.2exp(0.63it-0.035t²)
(GEO₂, GEO₁)	0.3	GEO₂	N(0.78, 0.04)	exp(0.78it-0.02t²)	0.3exp(0.78it-0.02t²)
(GEO₂, GEO₃)	0.4	GEO₂	N(0.79, 0.08)	exp(0.79it-0.04t²)	0.4exp(0.79it-0.04t²)
(GEO₃, GEO₂)	0.2	GEO₃	N(0.82, 0.02)	exp(0.82it-0.01t²)	0.2exp(0.82it-0.01t²)
(GEO₁, GEO₃)	0.3	GEO₁	N(0.8, 0.04)	exp(0.8it-0.02t²)	0.3exp(0.8it-0.02t²)
(GEO₃, GEO₁)	0.4	GEO₃	N(0.76, 0.05)	exp(0.76it-0.025t²)	0.4exp(0.76it-0.025t²)
(GEO₁, UR)	0.5	GEO₁	N(0.59, 0.03)	exp(0.59it-0.015t²)	0.5exp(0.59it-0.015t²)
(GEO₂, UR)	0.3	GEO₂	N(0.75, 0.07)	exp(0.75it-0.035t²)	0.3exp(0.75it-0.035t²)
(GEO₃, UR)	0.4	GEO₃	N(0.7, 0.02)	exp(0.7it-0.01t²)	0.4exp(0.7it-0.01t²)

编号	通信链路	等价传递函数W_l
1	US-GEO₁-UR	0.15exp(1.47it-0.04t²)
2	US-GEO₂-UR	0.12exp(1.58it-0.065t²)
3	US-GEO₃-UR	0.12exp(1.49it-0.015t²)
4	US-GEO₁-GEO₂-UR	0.018exp(2.26it-0.095t²)
5	US-GEO₂-GEO₁-UR	0.06exp(2.2it-0.065t²)
6	US-GEO₁-GEO₃-UR	0.036exp(2.38it-0.055t²)
7	US-GEO₃-GEO₁-UR	0.06exp(2.14it-0.045t²)
8	US-GEO₂-GEO₃-UR	0.064exp(2.32it-0.08t²)
9	US-GEO₃-GEO₂-UR	0.018exp(2.36it-0.05t²)

编号	通信链路	链路效能E_l
1	US-GEO₁-UR	1.47
2	US-GEO₂-UR	1.58
3	US-GEO₃-UR	1.49
4	US-GEO₁-GEO₂-UR	2.26
5	US-GEO₂-GEO₁-UR	2.2
6	US-GEO₁-GEO₃-UR	2.38
7	US-GEO₃-GEO₁-UR	2.14
8	US-GEO₂-GEO₃-UR	2.32
9	US-GEO₃-GEO₂-UR	2.36

编号	通信链路	重要度imp (l)/%
1	US-GEO₁-UR	4.70
2	US-GEO₂-UR	3.64
3	US-GEO₃-UR	6.00
4	US-GEO₁-GEO₂-UR	25.16
5	US-GEO₂-GEO₁-UR	6.14
6	US-GEO₁-GEO₃-UR	14.36
7	US-GEO₃-GEO₁-UR	4.80
8	US-GEO₂-GEO₃-UR	7.65
9	US-GEO₃-GEO₂-UR	27.55

方法	效能计算	效能值	概率密度函数	各部分效能	权重求解
PS-GERT解析法	客观	2.192	有,且有函数表达式	有(各链路)	客观
改进信息熵^[30]	客观+主观	2.141	无	有(各节点)	主观
熵值法+云重心理论^[31]	客观+主观	2.115	无	无	客观

PS-GERT effectiveness evaluation model of GEO satellite communication constellation

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