General Planning Horizons for the Production Smoothing Problem with Deterministic Demands. I. All Demand Met from Regular Production.

Abstract

In part 1 of the paper, the authors develop an algorithm for finding planning horizons for the deterministic production smoothing problem when all demand must be met from regular Production, under rather general assumptions for the production, production smoothing, and holding cost functions. (In part 2 of this paper, planning horizons will be developed for extensions of the model including backlogging and overtime). The techniques developed here are essentially forward-looking and marginal-cost-balancing in nature, rather than total-cost-minimizing and backward-looking in nature such as dynamic programming, or total-cost-minimizing and omni-looking in nature such as linear programming. The fact that planning horizons are shown here to exist for a range of discount values both greater and less than one illustrates that the methods used here are in fact fundamentally different from ordinary infinite horizon dynamic programming methods. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1971
Accession Number
AD0736983

Entities

People

  • Howard C. Kunreuther
  • Thomas E. Morton

Organizations

  • Carnegie Mellon University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computer Programming
  • Dynamic Programming
  • Evolutionary Algorithms
  • Heuristic Methods
  • Interdisciplinary Science
  • Linear Programming
  • Mathematical Programming
  • Mathematics
  • Operations Research
  • Production

Readers

  • Defense Acquisition Program Management
  • Manufacturing Engineering.
  • Mathematical Modeling and Probability Theory.