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

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1973
Accession Number
AD0755143

Entities

People

  • Charles A. Allen
  • John D. Pearson
  • Ronald G. Magee
  • Ronald New
  • W. Charles Mylander

Tags

DTIC Thesaurus Topics

  • Acquisition
  • Algorithms
  • Computer Programming
  • Discontinuities
  • Evolutionary Algorithms
  • Heuristic Methods
  • Linear Programming
  • Mathematical Programming
  • Mathematics
  • Optimization
  • Procurement
  • Simplex Method

Readers

  • Business Analytics
  • Logistics and Supply Chain Management.
  • Operations Research