Annihilation Prediction for Lanchester Type Models of Modern Warfare

Article Abstract:

Important new functions for analytic solution of Lanchester-type equations of modern warfare for combat between homogeneous forces are introduced. These forces are modeled by power attrition-rate coefficients with no offset. Tabulations of these Lanchester- Clifford-Schlafli (or LCS) functions allow one to study this particular variable-coefficient model almost as easily and thoroughly as Lanchester's classic constant-coefficient one. LCS functions allow one to obtain force-annihilation prediction without having to spend the time and effort of computing force-level trajectories. The new LCS functions also provide information about related variable-coefficient models. A transformation of the battles' time scale simplifies the force-level equations and shows relative fire effectiveness and intensity of combat. A diagram of Border's constant-speed attack model is shown.

Mathematical models, Algorithms, Algorithm, Applications, Models, Military, Systems

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Computational Issues in an Infinite-Horizon, Multiechelon Inventory Model

Article Abstract:

A two-echelon inventory system is described. The higher echelon is a single location called a depot and the lower echelon system is also a single point called a retail outlet. Results are extended to the infinite-horizon case. Multiple locations at the lower echelon are also considered.

Inventory control, Modeling, Data modeling software, Scientific Research, Approximation

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