基于能力的国防资源分配方法

doi:10.12305/j.issn.1001-506X.2024.02.23

摘要/Abstract

摘要：

针对体系建设发展过程中国防资源有限、分配困难问题, 考虑国防总经费预算受限、年度资源平均分配、体系能力满足能力需求等方面的约束, 首先采用数学规划法, 构建基于能力的国防资源静态分配模型, 将资源分配到不同能力领域的体系建设发展中。其次, 给出了基于遗传算法的模型求解算法。最后, 通过示例验证所构建的资源分配模型能够合理地进行国防资源分配, 且计算结果高效、可行，为体系建设发展中的资源分配问题提供了一定的理论支撑。

关键词: 资源分配, 数学规划法, 体系能力, 遗传算法

Abstract:

In view of the limited national defense resources and allocation difficulties in the process of system construction and development, this paper considers the constraints of the limited national defense total budget, the average allocation of annual resources, and the ability of the system to meet the needs of capabilities. Firstly, it uses mathematical programming to build a static allocation model of national defense resources based on capabilities to allocate resources to the system construction and development in different capability areas. Secondly, the model solving algorithm based on genetic algorithm is given. Finally, an example is given to verify that the resource allocation model constructed can reasonably allocate national defense resources, and the calculation results are efficient and feasible, which provides a theoretical support for the resource allocation problem in the development of system construction.

Key words: resource allocation, mathematical programming, capability of system, genetic algorithm (GA)

中图分类号:

TP202

张玉婷, 杨镜宇. 基于能力的国防资源分配方法[J]. 系统工程与电子技术, 2024, 46(2): 599-604.

Yuting ZHANG, Jingyu YANG. Capability-based defense resource allocation method[J]. Systems Engineering and Electronics, 2024, 46(2): 599-604.

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参考文献 29

1	SHAW L , DAS S K , ROY S K . Location-allocation problem for resource distribution under uncertainty in disaster relief operations[J]. Socio-Economic Planning Sciences, 2022, 82, 101232. doi: 10.1016/j.seps.2022.101232
2	BAO K , THRÄN D , SCHRÖTER B . Land resource allocation between biomass and ground-mounted PV under consideration of the food-water-energy nexus framework at regional scale[J]. Renewable Energy, 2023, 203, 323- 332. doi: 10.1016/j.renene.2022.12.027
3	包晗. 基于运营效益评价的铁路集装箱维修预算分配管理研究[D]. 北京: 北京交通大学, 2019.
	BAO H. Research on budget allocation management of railway container maintenance based on operational benefit evaluation[D]. Beijing: Beijing Jiaotong University, 2019.
4	PATRONAS G , VLASSOPOULOS N . Accelerating the scheduling of the network resources of the next-generation optical data centers[J]. Parallel Computing, 2023, 115, 102993. doi: 10.1016/j.parco.2022.102993
5	王磊, 郑军, 贺川, 等. 高通量多波束通信卫星系统资源分配方法[J]. 中国空间科学技术, 2021, 41 (5): 85- 94.
	WANG L , ZHENG J , HE C , et al. Resource allocation method for high-throughput multi-beam communication satellite system[J]. China Space Science and Technology, 2021, 41 (5): 85- 94.
6	ABEDI S , GHOBAEI A M , KHORAMI E , et al. Dynamic resource allocation using improved firefly optimization algorithm in cloud environment[J]. Applied Artificial Intelligence, 2022, 36 (1): 2055394. doi: 10.1080/08839514.2022.2055394
7	张骁雄, 姜江, 葛冰峰. 武器装备科研经费分配的规划模型与算法[J]. 系统工程与电子技术, 2015, 37 (9): 2061- 2066.
	ZHANG X X , JIANG J , GE B F . Planning model and algorithm for allocation of scientific research funds for weapons and equipment[J]. Systems Engineering and Electronics, 2015, 37 (9): 2061- 2066.
8	GAFNI P G , KHAN M . Predicting daily emergency department visits using machine learning could increase accuracy[J]. The American Journal of Emergency Medicine, 2022, 65, 5- 11.
9	SHABTAY H , TISHLER A . Budget allocation under uncertainty and the costs of war and insecurity[J]. Defence and Peace Economics, 2014, 25 (5): 461- 480. doi: 10.1080/10242694.2013.810025
10	KANGASPUNTA J , SALO A . Expert judgments in the cost-effectiveness analysis of resource allocations: a case study in military planning[J]. OR Spectrum, 2014, 36, 161- 185. doi: 10.1007/s00291-013-0325-8
11	ZHANG X, LIU Q, XIE Z R. A quantitative analysis and planning model for strategic management resource allocation demand[C]//Proc. of the 34th Chinese Control and Decision Conference, 2022: 126-130.
12	WANG C H, DONG Q, LI D X, et al. Resource allocation based on IMPALA algorithm[C]//Proc. of the 2nd International Conference on Electronics, Communications and Information Technology, 2021: 1136-1142.
13	YıLMAZ E , GERMAN B J , PRITCHETT A R . Optimizing resource allocations to improve system reliability via the propagation of statistical moments through fault trees[J]. Reliability Engineering and System Safety, 2023, 230, 108873. doi: 10.1016/j.ress.2022.108873
14	INAMPUDI V S, GANZ A. Web based tool for resource allocation in multiple mass casualty incidents[C]//Proc. of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2009: 1710-1713.
15	SHABTAY H , TISHLER A . Budget allocation under uncertainty and the costs of war and insecurity[J]. Defence and Peace Economics, 2014, 25 (5): 461- 480. doi: 10.1080/10242694.2013.810025
16	BASTIAN N D , FULTON L V , SHAH V P , et al. Resource allocation decision making in the military health system[J]. IEEE Trans.on Healthcare Systems Engineering, 2014, 4 (2): 80- 87. doi: 10.1080/19488300.2014.904456
17	XIONG J , LEUS R , YANG Z Y , et al. Evolutionary multi-objective resource allocation and scheduling in the Chinese navigation satellite system project[J]. European Journal of Operational Research, 2016, 251 (2): 662- 675. doi: 10.1016/j.ejor.2015.11.031
18	BIER V , OLIVEROS S , SAMUELSON L . Choosing what to protect: strategic defensive allocation against an unknown attacker[J]. Journal of Public Economic Theory, 2007, 9 (4): 563- 587. doi: 10.1111/j.1467-9779.2007.00320.x
19	HAPHURIWAT N , BIER V M . Trade-offs between target hardening and overarching protection[J]. European Journal of Operational Research, 2011, 213 (1): 320- 328. doi: 10.1016/j.ejor.2011.03.035
20	PAULSON E C , LINKOV I , KEISLER J M . A game theoretic model for resource allocation among countermeasures with multiple attributes[J]. European Journal of Operational Research, 2016, 252 (2): 610- 622. doi: 10.1016/j.ejor.2016.01.026
21	DAVIS P K , SHAVER R D , BECK J . Portfolio-analysis methods forassessing capability options[M]. USA: RAND Corporation, 2008.
22	DAVIS P K. Analytic architecture for capabilities-based planning, mission-system analysis, and transformation[R]. Pittsburgh: RAND Corporation, 2002.
23	HOLLAND J H . Adaptation in natural and artificial systems[M]. Ann Arbor: The University of Michigan Press, 1992.
24	ARIANYANE, MALEKI D, YARI A. Efficient resource allocation in cloud data centers through genetic algorithm[C]//Proc. of the 6th International Symposium on Telecommunication, 2012: 566-570.
25	BHATANMN, VIJAYALAKSHMI M, PATIL A, et al. Enhanced genetic algorithm with dispatching rules and diploid multi-parent evolution[C]//Proc. of the IEEE Mysore Sub Section International Conference, 2021: 159-164.
26	RAJAN V C , DAS S P , SRIDHARAN R , et al. Development of a reliable and flexible supply chain network design model: a genetic algorithm based approach[J]. International Journal of Production Research, 2021, 59 (20): 6185- 6209. doi: 10.1080/00207543.2020.1808256
27	NAKAMURA D M , TESSARO Y V , FURUIE S S , et al. Color formulation in maxillofacial elastomer by genetic algorithm[J]. Dyes and Pigments, 2021, 196, 109820. doi: 10.1016/j.dyepig.2021.109820
28	丁越. 基于遗传算法的P2P网贷违约预警模型研究[D]. 杭州: 浙江大学, 2019.
	DING Y. Research on P2P network loan default warning model based on genetic algorithm[D]. Hangzhou: Zhejiang University, 2019.
29	ADITYA S , SANJAY H A . A modified genetic algorithm and weighted principal component analysis based feature selection and extraction strategy in agriculture[J]. Knowledge-Based Systems, 2021, 232, 107460. doi: 10.1016/j.knosys.2021.107460

一级体系	能力1	能力2	能力3	能力4	能力5
S₁	3/4/4/6/7	0/2/4/6/11	1/5/9/16/16	2/5/8/10/15	3/3/9/14/17
S₂	2/3/7/10/16	2/2/2/6/11	4/8/12/17/18	0/1/3/3/10	3/3/8/9/16
S₃	1/4/4/8/14	2/7/10/13/20	2/6/9/12/19	0/4/4/7/10	1/4/9/15/19
S₄	3/5/6/10/17	1/3/4/6/14	3/7/10/11/11	2/6/11/16/22	2/3/5/10/14

年数	能力1	能力2	能力3	能力4	能力5
1	1.064	6.651	24.244	3.320 8	13.219
2	21.359	20.463	24.857	24.034	20.035
3	27.890	22.866	41.073	41.858	22.267
4	33.356	35.244	46.107	68.330	49.581
5	46.276	39.166	61.315	92.205	67.561

二级体系	第1年	第2年	第3年	第4年	第5年
S₁₁	-	-	-	0.242 7	-
S₁₂	-	0.263 2	-	-	-
S₁₃	-	-	0.252 7	-	-
S₁₄	-	-	-	-	0.239 1
S₁₅	0.284 2	-	-	-	-
S₁₆	-	-	0.256 6	-	-
S₁₇	-	-	-	0.219 3	-
S₁₈	-	-	-	0.245 4	-
S₁₉	-	-	0.245 9	-	-
S_{1, 10}	-	0.272 4	-	-	-
S₂₁	0.235 1	-	-	-	-
S₂₂	-	-	-	-	0.189 8
S₂₃	-	0.214 6	-	-	-
S₂₄	-	-	-	-	0.194 4
S₂₅	-	-	0.208 9	-	-
S₂₆	-	-	0.201 9	-	-
S₂₇	0.202 2	-	-	-	-

S_{4, 12}	-	-	0.184	-	-
S_{4, 13}	-	0.197 9	-	-	-
S_{4, 14}	-	-	-	-	0.168 9

费用	第1年	第2年	第3年	第4年	第5年
S₁	0.284 2	0.535 6	0.755 2	0.704 7	0.239 1
S₂	0.652 3	0.443 8	0.815 2	0.185 3	0.384 2
S₃	1.401 2	0.571 6	0.180 9	0.336 8	0.158 9
S₄	0.215 2	0.997 5	0.373 8	0.175 2	0.333 9

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