摘要
Analyses of the systematic confrontation between two military forcfes are the highest hierarchy on opera-tional effectiveness study of weapon systema.The physi-cal model for tactical many-on-many engagements of an aerial warfare with heterogeneous figher aircraft is estab-lished.On the basis of Lanchester multivariate equations of square law,a mathematical model corresponding to the established physical model is given.A superiorityh parame-ter is then derived directly from the mathematical model.With view to the high -tech condition of modern war-fare,the concept of superiority parameter which more well and truly reflects the essential of an air-to-air en-gagement is further formulated.The attrition coeffi-cients,which are key to the differential equations,are de-termined by using tactics of random target assignment and air-to-air capability index of the fighter aircraft.Hereby,taking the mathematical model and superiority parameter as cores,calculations amd analyses of complicate systemic problems such as evaluation of battle superiority,prog-mostication of combat process and optimization of colloca-tions have been accomplished.Results indicate that a clas-sical combat theory with its certain recent development has received newer applications in the military operation research for complicated confrontation analysis issues.
