مدل‌سازی و حل بهینه مسأله تخصیص و ‌زمان‌بندی حسگر- سلاح/تهدید به‌صورت یکپارچه با الگوریتم فراابتکاری مبتنی بر GRASP

نوع مقاله: مقاله پژوهشی

نویسندگان

1 دانشجوی کارشناسی ارشد، گروه مهندسی صنایع

2 دانشیار دانشگاه فردوسی مشهد

3 دانشیار دانشگاه آزاد اسلامی

4 استادیار، گروه مهندسی برق، دانشگاه امام رضا (ع)، مشهد، ایران

چکیده

امروزه در نبرد‌ها استفاده از سامانه‌های هوشمند بسیار متداول شده است. در همین راستا سلاح­های هوشمند کاربرد فراوانی پیدا کرده‌اند که عمدتاً وابسته به حسگر هستند. تطابق حسگر با سلاح و تهدید یا به اختصار تخصیص حسگر-سلاح/تهدید یکی از چالش­های صحنه نبرد و در زمره‌ مسائل بهینه­سازی تخصیص منابع پیچیده است به گونه­ای که نتیجه نبرد­های پیشرفته امروزه تا حد زیادی وابسته به استفاده هوشمندانه از حسگرها و سلاح­های موجود برای افزایش تأثیرآنهاست. در این مقاله مسأله حسگر-سلاح/تهدید به‌صورت یکپارچه مدل‌سازی شده است. مدل ارائه شده به دنبال حداکثر نمودن تخریب تهدیدها در یک افق زمانی مشخص و با رعایت محدودیت‌های عملیاتی می‌باشد. برای حل مدل از نرم‌افزار CPLEX استفاده شده است. همچنین یک الگوریتم فراابتکاری مبتنی بر GRASP برای حل مساله توسعه داده شده است. در پایان، با استفاده از تعدادی نمونه مساله که به‌صورت تصادفی ساخته شده­اند، نتایج پیاده‌سازی کلیه روش‌ها ارائه و مقایسه شده‌اند.

کلیدواژه‌ها


[1]  N. Li, W. Huai, and S. Wang, “ The solution of target assignment problem in command and control    decision-making behaviour simulation,”  Enterprise Information Systems, vol. 11, pp. 1059-1077, 2017.##

[2]  Z. Bogdanowicz and N. Coleman, “ Advanced Algorithm for Optimal Sensor-Target and        Weapon-Target Pairings in Dynamic Collaborative Engagement,” Army Armament Research Development and Engineering Center Picatinny Arsenal NJ, 2008.##

[3]  Z. R. Bogdanowicz, “ A new efficient algorithm for optimal assignment of smart weapons to targets,”  Computers & Mathematics with Applications, vol. 58, pp. 1965-1969, 2009.##

[4]  S. Matlin, “A review of the literature on the        missile-allocation problem,”  Operations Research, vol. 18, pp. 334-373, 1970.##

[5]  R. K. Ahuja, A. Kumar, K. C. Jha, and J. B. Orlin, “ Exact and heuristic algorithms for the weapon-target assignment problem,”  Operations Research, vol. 55, pp. 1136-1146, 2007.##

[6]  P. A. Hosein, J. T. Walton, and M. Athans, “ Dynamic weapon-target assignment problems with vulnerable C2̳ nodes,” 1988.##

[7]  S. P. Lloyd and H. S. Witsenhausen, “Weapons allocation is NP-complete,” In 1986 Summer Computer Simulation Conference, pp. 1054-1058. 1986.##

[8]  Y. H. Cha and Y. D. Kim, “Fire scheduling for planned artillery attack operations under time-dependent destruction probabilities,” Omega, vol. 38, pp.        383-392, 2010.##

[9]  D. Lötter, I. Nieuwoudt, and J. Van Vuuren, “A multiobjective approach towards weapon assignment in a ground-based air defence environment,” ORiON, vol. 29, pp. 31-54, 2013.##

[10] O. Karasakal, “Optimal Air Defense Strategies for Naval Task Group,” METU, 2004.##

[11] T. Gülez, “Weapon-Target Allocation And Scheduling For Air Defense With Time Varying Hit Probabilities,” Middle East Technical University, 2007.##

[12] G. Cho, “Hybrid nested partition method with  intelligent greedy search for solving Weapon Target Assignment problem,” Iowa State University, 2009.##

[13] A. Turan, “Algorithms for the weapon-target allocation problem,” PhD diss., Middle East Technical University, 2012.##

[14] K. Kalyanam, S. Rathinam, D. Casbeer, and M. Pachter, “Optimal Threshold Policy for Sequential Weapon Target Assignment,” IFAC-Papers OnLine, vol. 49, pp. 7-10, 2016.##

[15]  Z. Mei, Z. Peng, and X. Zhang, “ Optimal dynamic weapon-target assignment based on receding horizon control heuristic,”  In Control & Automation (ICCA), 2017 13th IEEE International Conference, pp.      876-881, 2017.##

[16]  Y. Z. Chang, Z. W. Li, Y. X. Kou, Q. P. Sun, H. Y. Yang, and Z. Y. Zhao, “A New Approach to Weapon-Target Assignment in Cooperative Air Combat,” Mathematical Problems in Engineering, vol. 2017, 2017.##

[17]  Y. Li, Y. Kou, Z. Li, A. Xu, and Y. Chang, “A Modified Pareto Ant Colony Optimization Approach to Solve Biobjective Weapon-Target Assignment Problem,” International Journal of Aerospace Engineering, vol. 2017, 2017.##

[18]  R. Taghavi and M. Ranjbar, “Weapon Scheduling in Naval Combat Systems for Maximization of Defense Capabilities,” Iranian Journal of Operations Research, vol. 6, 2015.##

[19]  M. Peymankar, M. Ranjbar, A. Izadipour, and S. Balochian, “Modelling and Solving the Location Problem of Fire Launching Sites,” Journal of Electronical & Cyber Defence, vol. 6, no. 3, Serial no. 23, 2017. (In Persian)##

[20]  M. Peymankar, M. Ranjbar, A. Izadipour, and S. Balochian, “Modeling and Solution of Fire Allocation and Scheduling Problem of Distributed Sites,”  Journal of Advanced Defence Science and Technology, vol. 9, no. 4, Serial no. 34, 2018. (In Persian)##

[21] S. A. KhatoonAbadi and H. Shirazi, “Weapon Target Assignmnet using Distributed Constraint Optimization,” In 7th National Command and Control Conference, Tehran, 2013. (In Persian)##

[22]  H. Almasian and A. Shakibamanesh, “ littoral and floating Missle sites Layout for The Assignment of Weapons Againt Offshore Sea Targets,” In 8th National Command and Control Conference, Tehran, 2014. (In Persian)##

[23]  A. Okhravi, A. Pooya, S. Nazemi, and M. Kazemi, “ Designing an integrated model for assigning targets to headquarters in marine battle management regarding to  target classification,” Ph.D Thesis, Ferdowsi University of Mashhad, Mashhad, Khorasan Razavi, Iran, 2016. (In Persian)##

[24]  F. Feiznaei, M. B. Naghibisistani, and S. K. Hosseinisani, “Solving the problem of weapons allocation in defense systems,” M.S. Thesis, Ferdowsi University of Mashhad, Mashhad, Kharasan Razavi, Iran, 2015. (In Persian)##

[25]  Z. Bogdanowicz and N. Coleman, “Sensor-target and weapon-target pairings based on auction algorithm,”  in Proceedings of the 11th WSEAS International Conference on Applied Mathematics, pp. 92-96, 2007.##

[26]  L. Zi-fen, L. Xiang-min, D. Jin-jin, C. Jin-zhu, and Z. Feng-xia, “Sensor-weapon-target assignment based on improved SWT-opt algorithm,”  In Computing, Control and Industrial Engineering (CCIE), 2011 IEEE 2nd International Conference, pp. 25-28, 2011.##

[27]  H. Chen, Z. Liu, Y. Sun, and Y. Li, “ Particle swarm optimization based on genetic operators for       sensor-weapon-target assignment,”  In Computational Intelligence and Design (ISCID), 2012 Fifth International Symposium on, pp. 170-173, 2012.##

[28]  K. L. Ezra, D. A. DeLaurentis, L. Mockus, and J. F. Pekny, “Developing Mathematical Formulations for the Integrated Problem of Sensors, Weapons, and Targets,”  Journal of Aerospace Information Systems, 2016.##

[29]  L. Mu, X. Qu, and P. Wang, “Application of Sensor/Weapon-Target Assignment based on     Multi-Scale Quantum Harmonic Oscillator Algorithm,”  In Image, Vision and Computing (ICIVC), 2017 2nd International Conference on, pp. 1147-1151, 2017.##

[30]  T. A. Feo and M. G. Resende, “Greedy randomized adaptive search procedures,” Journal of global optimization, vol. 6, pp. 109-133, 1995.##

[31]  J. P. Hart and A. W. Shogan, “Semi-greedy heuristics: An empirical study,”  Operations Research Letters, vol. 6, pp. 107-114, 1987.##

[32]  T. A. Feo and M. G. Resende, “A probabilistic heuristic for a computationally difficult set covering problem,”  Operations research letters, vol. 8, pp.   67-71, 1989.##