Differential Game for a Class of Warfare Dynamic Systems with Reinforcement Based on Lanchester Equation
This paper concerns the optimal reinforcement game problem between two opposing forces in military conflicts. With some moderate assumptions, we employ Lanchester equation and differential game theory to develop a corresponding optimization game model. After that, we establish the optimum condition...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/837431 |
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| _version_ | 1832563570379849728 |
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| author | Xiangyong Chen Jianlong Qiu |
| author_facet | Xiangyong Chen Jianlong Qiu |
| author_sort | Xiangyong Chen |
| collection | DOAJ |
| description | This paper concerns the optimal reinforcement game problem between two opposing forces in military conflicts. With some moderate assumptions, we employ Lanchester equation and differential game theory to develop a corresponding optimization game model. After that, we establish the optimum condition for the differential game problem and give an algorithm to obtain the optimal reinforcement strategies. Furthermore, we also discuss the convergence of the algorithm. Finally, a numerical example illustrates the effectiveness of the presented optimal schemes. Our proposed results provide a theoretical guide for both making warfare command decision and assessing military actions. |
| format | Article |
| id | doaj-art-825b7de565a84ae28bfa522f3ae82e0d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-825b7de565a84ae28bfa522f3ae82e0d2025-02-03T01:13:13ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/837431837431Differential Game for a Class of Warfare Dynamic Systems with Reinforcement Based on Lanchester EquationXiangyong Chen0Jianlong Qiu1School of Sciences, Linyi University, Linyi, Shandong 276005, ChinaSchool of Sciences, Linyi University, Linyi, Shandong 276005, ChinaThis paper concerns the optimal reinforcement game problem between two opposing forces in military conflicts. With some moderate assumptions, we employ Lanchester equation and differential game theory to develop a corresponding optimization game model. After that, we establish the optimum condition for the differential game problem and give an algorithm to obtain the optimal reinforcement strategies. Furthermore, we also discuss the convergence of the algorithm. Finally, a numerical example illustrates the effectiveness of the presented optimal schemes. Our proposed results provide a theoretical guide for both making warfare command decision and assessing military actions.http://dx.doi.org/10.1155/2014/837431 |
| spellingShingle | Xiangyong Chen Jianlong Qiu Differential Game for a Class of Warfare Dynamic Systems with Reinforcement Based on Lanchester Equation Abstract and Applied Analysis |
| title | Differential Game for a Class of Warfare Dynamic Systems with Reinforcement Based on Lanchester Equation |
| title_full | Differential Game for a Class of Warfare Dynamic Systems with Reinforcement Based on Lanchester Equation |
| title_fullStr | Differential Game for a Class of Warfare Dynamic Systems with Reinforcement Based on Lanchester Equation |
| title_full_unstemmed | Differential Game for a Class of Warfare Dynamic Systems with Reinforcement Based on Lanchester Equation |
| title_short | Differential Game for a Class of Warfare Dynamic Systems with Reinforcement Based on Lanchester Equation |
| title_sort | differential game for a class of warfare dynamic systems with reinforcement based on lanchester equation |
| url | http://dx.doi.org/10.1155/2014/837431 |
| work_keys_str_mv | AT xiangyongchen differentialgameforaclassofwarfaredynamicsystemswithreinforcementbasedonlanchesterequation AT jianlongqiu differentialgameforaclassofwarfaredynamicsystemswithreinforcementbasedonlanchesterequation |