Accession Number : AD0755143

Title :   The Army Systems Phasing Model. A Methodology for Optimization Over Time. Volume I. Chapters 1 to 3.

Descriptive Note : Technical paper,

Corporate Author : RESEARCH ANALYSIS CORP MCLEAN VA

Personal Author(s) : Allen,Charles A. ; Magee,Ronald G. ; Mylander,W. Charles ; New,Ronald ; Pearson,John D.

Report Date : JAN 1973

Pagination or Media Count : 58

Abstract : The report describes a non-linear programming model for application to long range planning problems of the resource allocation type. A significant characteristic of the methodology is that time-phased acquisition and disposition of systems is explicitly considered in the optimization. The model can accept either of two primary problem structures: (1) maximize the effectiveness (or benefit) obtained from accomplishing various levels of effort subject to specified budgetary constraints, or (2) minimize the cost of achieving specified levels of effectiveness where budgetary constraints may or may not be imposed. Both the objective function and the functions of the constraint set may take any form as long as they may be approximated by a series of straight line segments. This includes s-shaped effectiveness functions, decreasing procurement cost functions as buy size increases, and step discontinuities such as RDTE or set-up cost functions. The only restriction is that all of the functions myst be separable. Volume 1 of the report provides a systematic development of the problem structure, a qualitative description of the solution procedure, and a mathematical discussion of the algorithm. (Author)

Descriptors :   (*ARMY BUDGETS, PLANNING), (*NONLINEAR PROGRAMMING, ALGORITHMS), MANAGEMENT PLANNING AND CONTROL, MATHEMATICAL MODELS, COSTS, CONVEX SETS, COMPUTER PROGRAMMING, OPTIMIZATION

Subject Categories : Administration and Management
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE