An application of decomposition techniques to a decentralized force-level decision problem.

Abstract

An approach to a force level problem which incorporates inputs of cost, operational effectiveness and requirements into a decision procedure is suggested. The problem is then defined within the framework of a decomposable linear program. The linear program is given an interpretation which emphasizes operational effectiveness at the point of use. A central authority -- subordinate element dialogue is postulated in the interpretation and conducted in the presence of the market mechanism implied by the decomposable linear program. A specific task, illustrative of the more general technique, is taken as the derivation of a model which permits a central defense planner to resolve conflicts between military operational theaters for the purpose of programming construction of an amphibious force for use in all theaters. A decentralized decision process for determination of force levels is described. The application of the decomposition algorithm to the central defense planner-military theater commander interchange employed in the decision process is developed. The procedure under which amphibious force acquisition is presently accomplished is examined by solution of the linear program using a set of postulated theater tactical plans. Conclusions are drawn which contrast the interpretation ordinarily given the decomposable linear program with the interpretation suggested for the model constructed. The general applicability of the model is discussed, means of improving and expanding the model presented and additional uses described.