This paper is the third part of the complex combat dynamics series, called tensor-centric warfare (for the first two parts, see [1] [2]). In the present paper, we extend the tensor combat model from [1] and [2] to model the dynamics of delta-strikes/missiles , which are temporally confined strong kinetic effects . The scenarios analyzed here include both deterministic and random delta-strikes which mimic single, multiple and continuous-time missile attacks. We also look at the bidirectional random strike as well as the general Hamilton-Langevin dynamics framework and provide an interpretation of the results obtained through simulation.
References
[1]
Ivancevic, V., Pourbeik, P. and Reid, D. (2018) Tensor-Centric Warfare I: Tensor Lanchester Equations. Intelligent Control and Automation, 9, 11-29. https://doi.org/10.4236/ica.2018.92002
[2]
Ivancevic, V., Reid, D. and Pourbeik, P. (2018) Tensor-Centric Warfare II: Entropic Uncertainty Modeling. Intelligent Control and Automation, 9, 30-51. https://doi.org/10.4236/ica.2018.92003
[3]
Pincombe, A.H. and Pincombe, B.M. (2003) A Markov Based Method for Military Analysis. Australian Society for Operations Research Bulletin, 22, 2-8,
[4]
Pincombe, A.H. and Pincombe, B.M. (2007) Markov Modelling on the Effectiveness of Sanctions: A Case Study of the Falklands War. ANZIAM Journal, 48, 527-541. https://doi.org/10.21914/anziamj.v48i0.80
[5]
Pincombe, A.H. and Pincombe, B.M. (2008) Tractable Approximations to Multistage Decisions in Air Defence Scenarios. ANZIAM Journal, 49, 273-288. https://doi.org/10.21914/anziamj.v49i0.349
[6]
Pincombe, A.H., Pincombe, B.M. and Pearce, C.E.M. (2009) Putting the Art before the Force. ANZIAM Journal, 49, 482-496.
[7]
Pincombe, A.H., Pincombe, B.M. and Pearce, C.E.M. (2009) A Simple Battle Model with Explanatory Power. ANZIAM Journal, 49, 497-511.
[8]
Kosowski, L.R., Pincombe, A.H. and Pincombe, B.M. (2010) Irrelevance of the Fractal Dimension Term in the Fractal Attrition Equation, ANZIAM Journal, 52, 988-1008. https://doi.org/10.21914/anziamj.v52i0.3963
[9]
Keane, T. (2011) Combat Modelling with Partial Differential Equations. Applied Mathematical Modelling, 35, 2723-2735. https://doi.org/10.1016/j.apm.2010.11.057
[10]
Pincombe, B.M. and Pincombe, A.H. (2016) Mass Action Models of Falklands War Battles. ANZIAM Journal, 57, 235-252. https://doi.org/10.21914/anziamj.v57i0.10450
[11]
Pincombe, A.H., Pincombe, B.M. and Pearce, C.E.M. (2016) Dispersed Combat as Mass Action with Finite Search. ANZIAM Journal, 57, 305-319. https://doi.org/10.21914/anziamj.v57i0.10447
[12]
Millikan, J., Wong, M. and Grieger, D. (2013) Suppression of Dismounted Soldiers: towards Improving Dynamic Threat Assessment in Closed Loop Combat Simulations. In: Piantadosi, J., Anderssen, R.S. and Boland, J., Eds., 20th International Congress on Modelling and Simulation (MODSIM 2013), Adelaide, 2013, 1054-1060.
[13]
Bowden, F.D.J., Pincombe, B.M. and Williams, P.B. (2015) Feasible Scenario Spaces: A New Way of Measuring Capability Impacts. In: Weber, T., McPhee, M.J. and Anderssen, R.S., Eds, 21st International Congress on Modelling and Simulation (MODSIM2015), Gold Coast, 2015, 836-842.
[14]
Ramirez, M., Papasimeon, M., Benke, L., Lipovetzky, N., Miller, T. and Pearce, A.R. (2017) Real-Time UAV Maneuvering via Automated Planning in Simulations. 26th International Joint Conference on Artificial Intelligence (IJCAI-17), Melbourne, 19-25 August 2017, 5243-5245.
[15]
Ramirez, M., Papasimeon, Lipovetzky, N., Benke, L., Miller, T., Pearce, A.R., Scala, E. and Zamani, M. (2018) Integrated Hybrid Planning and Programmed Control for Real-Time UAV Maneuvering. Proceeding 17th International Conference on Autonomous Agents and Multiagent Systems (AAMAS 2018), Stockholm, 10-15 July 2018, 1318-1326.
[16]
Perla, P. and Lehoczky, J. (1977) A New Approach to the Analysis of Stochastic Lanchester Processes. I. Time Evolution. Technical Report No. 135, Department of Statistics, Carnegie-Mellon.
[17]
Amacher, M. and Mandallaz, D. (1986) Stochastic Versions of Lanchester Equations in Wargaming. European Journal of Operational Research, 24, 41-45. https://doi.org/10.1016/0377-2217(86)90008-1
[18]
Perry, N. (2009) Application of Black Scholes Complexity Concepts to Combat Modelling. DSTO-TR-2318.
[19]
Perry, N. (2011) Applications of Historical Analyses in Combat Modelling. DSTO-TR-2643.
[20]
Ivancevic, V. and Ivancevic, T. (2007) Neuro-Fuzzy Associative Machinery for Comprehensive Brain and Cognition Modelling. Springer, Berlin. https://doi.org/10.1007/978-3-540-48396-0
[21]
Haken, H. (2002) Brain Dynamics, Synchronization and Activity Patterns in Pulse-Codupled Neural Nets with Delays and Noise. Springer, Berlin.
[22]
Haken, H. (1993) Advanced Synergetics: Instability Hierarchies of Self-Organizing Systems and Devices. 3nd Edition, Springer, Berlin.
[23]
Kawasaki, K. (1973) Simple Derivations of Generalized Linear and Nonlinear Langevin Equations. Journal of Physics A: Mathematical, Nuclear and General, 6, 1289. https://doi.org/10.1088/0305-4470/6/9/004
[24]
Ichimaru, S. (1973) Basic Principles of Plasma Physics: A Statistical Approach. Benjamin/Cummings, Reading, MA.
[25]
Janssen, H.K. (1976) On a Lagrangean for Classical Field Dynamics and Renormalization Group Calculations of Dynamical Critical Properties. Zeitschrift für Physik B Condensed Matter, B, 23, 377-380.