Comparison of a deterministic and a stochastic formulation for the optimal control of a Lanchester-type attrition process
Taylor, James G.
Powers, Robert L.
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The structure of the optimal fire distribution policy obtained using a deterministic combat attrition model is compared with that for a stochastic one. The same optimal control problem for a homogeneous force in Lanchester combat against heterogeneous forces is studied using two different models for the combat dynamics (the usual deterministic Lanchester-type differential euqation formulation and a continuous parameter Markov chain with stationary transition probabilities). Both versions are solved using modern optimal control theory (the maximum principle (including the theory of state variable inequality constraints) for the deterministic control problem and the formalism of dynamic programming for the stochastic control problem). Numerical results have been generated using a digital computer and are compared. (Author)
Invited paper presented at International Symposium on Applications of Computers and Operations Research to Problems of World Concern held in Washington, D.C. in August 1973.
NPS Report NumberNPS55-77-18
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Application of differential games to problems of military conflict: Tactical allocation problems, Part II Taylor, James G. (Monterey, California. Naval Postgraduate School, 1972-11); NPS55TW72111AThe mathematical theory of optimal control/differential games is used to study the structure of optimal allocation policies for some tactical allocation problems with combat described by Lanchester-type equations of warfare. ...
Further comparisons of stochastic and deterministic models for the optimal control of Lanchester-type attrition processes. Hannah, William Pickens. (Monterey, California. Naval Postgraduate School, 1974);The optimal fire distribution policy obtained using a stochastic combat attrition model is compared with that for a deterministic one. The same optimal control problem for a homogeneous force in combat against a ...
Taylor, James G. (Monterey, California. Naval Postgraduate School, 1974-03); NP3-55Tw74031This is a survey paper on the author's research on applications of the mathematical theory of optimal control/differential games to problems of military conflict in order to study the structure of optimal tactical ...