{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,6]],"date-time":"2025-12-06T16:49:16Z","timestamp":1765039756407,"version":"build-2065373602"},"reference-count":34,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2025,1,26]],"date-time":"2025-01-26T00:00:00Z","timestamp":1737849600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Systems"],"abstract":"<jats:p>As the scale of missions continues to expand, equipment support has emerged as a critical component of military combat effectiveness. Consequently, the supportability of a system of systems (SOS) for equipment has become as essential quality requirement alongside its performance metrics. This study systematically assessed the effectiveness of equipment SOS support through a task-driven methodology. Initially, a model for generating equipment support tasks was developed to translate the operational requirements into a sequence of support tasks. Subsequently, a simulation model was constructed to evaluate the equipment SOS support system, and solutions were derived for the corresponding SOS-level support effectiveness indexes. Finally, the feasibility and characteristics of the proposed models and simulation methodology were validated through a case study involving an emergency operational mission for an air combat group formation. The results indicate that the increased reliability of the equipment system correlates with a reduced failure rate and lower resource consumption for maintenance and support per device, thereby improving support efficiency. The methodology presented in this article provides a framework for evaluating the effectiveness of equipment SOS support while facilitating informed decision-making in information warfare conditions.<\/jats:p>","DOI":"10.3390\/systems13020077","type":"journal-article","created":{"date-parts":[[2025,1,28]],"date-time":"2025-01-28T07:54:08Z","timestamp":1738050848000},"page":"77","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Simulation Evaluation and Case Study Verification of Equipment System of Systems Support Effectiveness"],"prefix":"10.3390","volume":"13","author":[{"given":"Gang","family":"Ding","sequence":"first","affiliation":[{"name":"School of Equipment Management and UAV Engineering, Air Force Engineering University, Xi\u2019an 710051, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lijie","family":"Cui","sequence":"additional","affiliation":[{"name":"School of Equipment Management and UAV Engineering, Air Force Engineering University, Xi\u2019an 710051, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2987-8418","authenticated-orcid":false,"given":"Feng","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi\u2019an 710129, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao","family":"Shi","sequence":"additional","affiliation":[{"name":"School of Equipment Management and UAV Engineering, Air Force Engineering University, Xi\u2019an 710051, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinhe","family":"Wang","sequence":"additional","affiliation":[{"name":"Xi\u2019an Aerospace Precision Electromechanical Research Institute, Xi\u2019an 710129, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiang","family":"Tai","sequence":"additional","affiliation":[{"name":"School of Information Engineering, People\u2019s Armed Police Engineering University, Xi\u2019an 710086, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,26]]},"reference":[{"key":"ref_1","first-page":"15","article-title":"Research on Weapon Equipment System","volume":"24","author":"You","year":"2010","journal-title":"Mil. Oper. Res. Syst. Eng."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1109\/TR.2024.3356816","article-title":"Prognostics and Health Management Methods for Reliability Prediction and Predictive Maintenance","volume":"73","author":"Zio","year":"2024","journal-title":"IEEE Trans. Reliab."},{"key":"ref_3","unstructured":"Tan, Y., Yang, K., Zhao, Q., Jiang, J., Ge, B., Zhang, X., Shang, H., and Li, J. (2019). Operational Effectiveness Evaluation Method of Weapon Equipment System Combat Network Based on Combat Ring. (China. CN201510386251.2)."},{"key":"ref_4","first-page":"8","article-title":"Research on key issues in simulation deduction of aviation maintenance support mode","volume":"40","author":"Ding","year":"2020","journal-title":"Ship Electron. Eng."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1109\/TR.2023.3330776","article-title":"Reliability and Availability Assessment","volume":"73","author":"Trivedi","year":"2024","journal-title":"IEEE Trans. Reliab."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"290","DOI":"10.1109\/TR.2023.3301929","article-title":"Reliability Computing Methods of Probabilistic Location Set Covering Problem Considering Wireless Network Applications","volume":"73","author":"Feng","year":"2024","journal-title":"IEEE Trans. Reliab."},{"key":"ref_7","first-page":"13","article-title":"Distributed equipment support system task allocation model","volume":"32","author":"Gao","year":"2018","journal-title":"J. Armored Forces Eng. Acad."},{"key":"ref_8","unstructured":"Luo, L.Z., Chakraborty, N., and Sycara, K. (2011, January 9\u201313). Multi-robot assignment algorithm for tasks with set precedence constraints. Proceedings of the 2011 IEEE International Conference on Robotics and Automation, Shanghai, China."},{"key":"ref_9","first-page":"1375","article-title":"Cooperative mission planning for equipment support marshalling based on the optimization of the invading weed bat twin group","volume":"34","author":"Wang","year":"2019","journal-title":"Control. Decis."},{"key":"ref_10","first-page":"475","article-title":"Robustness analysis of complex network of equipment support system for mission success","volume":"35","author":"Xing","year":"2018","journal-title":"Comput. Appl. Res."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Song, T.L., and Xing, L.D. (2011, January 24\u201327). Mission need-based system supportability objectives determination. Proceedings of the 2011 Proceedings\u2014Annual Reliability and Maintainability Symposium, Lake Buena Vista, FL, USA.","DOI":"10.1109\/RAMS.2011.5754477"},{"key":"ref_12","unstructured":"Li, D. (2013). Simulation Modeling and Optimization of the Use of Support Resources for Basic Combat Units Based on Petri Nets. [Master\u2019s Thesis, National University of Defense Technology]."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1109\/WCL.2012.091312.120394","article-title":"Resource Allocation in Open Access OFDMA Femtocell Networks","volume":"1","author":"Li","year":"2012","journal-title":"IEEE Wirel. Commun. Lett."},{"key":"ref_14","first-page":"398","article-title":"Optimization of multi-level spare parts for naval equipment under wartime mission conditions","volume":"47","author":"Wang","year":"2013","journal-title":"J. Shanghai Jiaotong Univ."},{"key":"ref_15","unstructured":"Sheng, J.Y. (2012). Research on Coordination Evaluation Index of Support Resources Used by Basic Combat Units. [Master\u2019s Thesis, National University of Defense Technology]."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/S0920-5489(99)92106-2","article-title":"Open systems architecture for integrated RF electronics","volume":"21","author":"Hooks","year":"1999","journal-title":"Comput. Stand. Interfaces"},{"key":"ref_17","first-page":"687","article-title":"Evaluation method of equipment mission success considering maintenance work","volume":"39","author":"Han","year":"2017","journal-title":"Syst. Eng. Electron. Technol."},{"key":"ref_18","first-page":"97","article-title":"Maintenance decision-making method and application centered on mission success","volume":"6","author":"Cao","year":"2007","journal-title":"Firepower Command. Control."},{"key":"ref_19","first-page":"36","article-title":"Modeling and simulation of the preventive maintenance support process of basic combat units","volume":"4","author":"Guo","year":"2007","journal-title":"Comput. Simul."},{"key":"ref_20","unstructured":"Liu, B. (2006). Ship Equipment Support Resources and Maintenance Strategy Optimization and Effectiveness Evaluation. [Master\u2019s Thesis, Northwestern Polytechnical University]."},{"key":"ref_21","unstructured":"Zhang, T. (2004). Modeling and Analysis of Maintenance Support Capability Assessment During the Use Phase of Equipment. [Ph.D. Thesis, National University of Defense Technology]."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1255","DOI":"10.1109\/TSMCA.2009.2025140","article-title":"System-of-Systems Modeling and Simulation of a Ship Environment with Wireless and Intelligent Maintenance Technologies","volume":"39","author":"Mahulkar","year":"2009","journal-title":"IEEE Trans. Syst. Man Cybern. Part A Syst. Hum."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Yang, L.B., Xu, T.H., and Wang, Z.X. (2014, January 8\u201311). Agent based heterogeneous data integration and maintenance decision support for high-speed railway signal system. Proceedings of the 2014 IEEE 17th International Conference on Intelligent Transportation Systems (ITSC), Qingdao, China.","DOI":"10.1109\/ITSC.2014.6957995"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Cao, Y., Peng, Y.L., and Wang, T.N. (2009, January 26\u201327). Research on Equipment Support Process Model Based on Multi-Agent System. Proceedings of the 2009 International Conference on Information Management, Innovation Management and Industrial Engineering, Xi\u2019an, China.","DOI":"10.1109\/ICIII.2009.296"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1072","DOI":"10.1016\/j.protcy.2014.10.121","article-title":"Developing a Model of Equipment Maintenance and Repair Process at Service Repair Company Using Agent-based Approach","volume":"16","author":"Panteleev","year":"2014","journal-title":"Procedia Technol."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Du, X., Pei, G., Xue, Z., and Zhu, N. (2016, January 10\u201311). An Agent-Based Simulation Framework for Equipment Support Command. Proceedings of the 9th International Symposium on Computational Intelligence and Design, Hangzhou, China.","DOI":"10.1109\/ISCID.2016.1012"},{"key":"ref_27","first-page":"575","article-title":"Sensitivity analysis and parameter optimization of equipment maintenance support simulation system","volume":"38","author":"Yang","year":"2016","journal-title":"Syst. Eng. Electron. Technol."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"2231","DOI":"10.1016\/j.ifacol.2019.11.537","article-title":"A Simulation Based Modelling Approach to Jointly Support and Evaluate Spare Parts Supply Chain Network and Maintenance System","volume":"52","author":"Miranda","year":"2019","journal-title":"IFAC-PapersOnLine"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"119","DOI":"10.2507\/IJSIMM17(1)424","article-title":"Rapid Evaluation of Maintenance Process Using Statistical Process Control and Simulation","volume":"17","author":"Petrovic","year":"2018","journal-title":"Int. J. Simul. Model."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"594","DOI":"10.1007\/s12204-016-1768-2","article-title":"Study on simulation modeling and evaluation of equipment maintenance","volume":"21","author":"Pang","year":"2016","journal-title":"J. Shanghai Jiaotong Univ. (Science)"},{"key":"ref_31","first-page":"55","article-title":"Research on the Construction of Supportability Index of Aviation Equipment System","volume":"19","author":"Ding","year":"2019","journal-title":"J. Air Force Eng. Univ."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"022008","DOI":"10.1088\/1757-899X\/1043\/2\/022008","article-title":"Research on the construction of supportability index of aviation equipment system of systems","volume":"1043","author":"Ding","year":"2021","journal-title":"IOP Conf. Ser. Mater. Sci. Eng."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1109\/TR.2023.3330739","article-title":"Accelerated Testing and Smart Maintenance: History and Future","volume":"73","author":"Liao","year":"2023","journal-title":"IEEE Trans. Reliab."},{"key":"ref_34","first-page":"1","article-title":"Simulation and evaluation analysis of aviation weapon and equipment system support based on multi agent","volume":"49","author":"Ding","year":"2022","journal-title":"J. Beijing Univ. Aeronaut. Astronaut."}],"container-title":["Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2079-8954\/13\/2\/77\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T10:36:31Z","timestamp":1759919791000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2079-8954\/13\/2\/77"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,1,26]]},"references-count":34,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2025,2]]}},"alternative-id":["systems13020077"],"URL":"https:\/\/doi.org\/10.3390\/systems13020077","relation":{},"ISSN":["2079-8954"],"issn-type":[{"type":"electronic","value":"2079-8954"}],"subject":[],"published":{"date-parts":[[2025,1,26]]}}}