Stochastic modelling of combat with reinforcement |
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| Institution: | 1. Department of Physiotherapy, University of Valencia, Valencia, Spain;2. Universidad Internacional de Valencia, Valencia, Spain;3. Physiotherapy in Motion, Multi-speciality Research Group (PTinMOTION), Department of Physiotherapy, University of Valencia, Valencia, Spain;4. Evidence in Motion, San Antonio, TX, USA;5. Physical Therapy Department, St. Ambrose University, Davenport, IA, USA;6. Facultad de Ciencias de la Salud, Universidad de Malaga, Malaga, Spain;7. Instituto de la Investigación Biomedica de Malaga (IBIMA), Malaga, Spain;8. Department of Languages and Computer Sciences, Universidad de Malaga, Malaga, Spain;9. Department of Physiotherapy, Faculty of Health Sciences, Campus of Melilla, University of Granada, Melilla, Spain;10. Department of Rehabilitation Sciences, Ghent University, Gent, Belgium;11. Departments of Human Physiology and Rehabilitation Sciences, “Pain in Motion” International Research Group, Brussels, Belgium;1. College of Environmental Science and Engineering, Nankai University, Tianjin 300350, China;2. Beijing Engineering Research Centre for Process Pollution Control, Division of Environment Technology and Engineering, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China |
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| Abstract: | The homogeneous combat when reinforcements are made at prespecified force levels has been modelled as a continuous-time discrete-state space Markov process. The effect of reinforcement on various combat characteristics, viz., the mean combat duration, the winning probabilities, the expected survivors, etc., is studied using the uniformization method. Two new concepts, i.e., Reinforcement Effectiveness Index and Reinforcement Parity Curve, have also been defined and are illustrated numerically. |
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