Skip to main content

Use of Stochastic Production Coefficients in Linear Programming Models: Objective Function Distribution, Feasibility, and Dual Activities

Buy Article:

$29.50 plus tax (Refund Policy)

Abstract:

The theoretical impact resulting from use of stochastic production coefficients on the objective function values of unconstrained and constrained linear programming problems was discussed. It was shown that the objective function value that is observed will be a biased and optimistic estimator of the true response of the natural resource system. In addition, it was shown that stochastic production estimates either have no impact or result in suboptimality when the stochastic production coefficients do not affect feasibility. The distribution of the optimal objective function value observed when stochastic production estimates are used, the objective function value of the true response of the system, and a linear combination of these random variables are hypothesized. These hypothesized distributions are then tested using a simulation approach with three error distributions and levels of variability. The simulations indicate that, when global constraints are applied, the dual activities of the global constraints in the presence of stochastic production coefficients are biased estimates of the dual activities with correct production information. In addition, truly infeasible solutions were selected nearly all of the time when feasibility could be violated. For. Sci. 34(3):574-591.

Keywords: Linear programming; dual activities; feasibility; natural resource management; simulation; stochastic production

Document Type: Journal Article

Affiliations: Professor, University of Georgia, Athens, GA

Publication date: 1988-09-01

More about this publication?
  • Forest Science is a peer-reviewed journal publishing fundamental and applied research that explores all aspects of natural and social sciences as they apply to the function and management of the forested ecosystems of the world. Topics include silviculture, forest management, biometrics, economics, entomology & pathology, fire & fuels management, forest ecology, genetics & tree improvement, geospatial technologies, harvesting & utilization, landscape ecology, operations research, forest policy, physiology, recreation, social sciences, soils & hydrology, and wildlife management.
    Forest Science is published bimonthly in February, April, June, August, October, and December.

    2015 Impact Factor: 1.702
    Ranking: 16 of 66 in forestry

    Also published by SAF:
    Journal of Forestry
    Other SAF Publications
  • Submit a Paper
  • Membership Information
  • Author Guidelines
  • Podcasts
  • Ingenta Connect is not responsible for the content or availability of external websites
  • Access Key
  • Free ContentFree content
  • Partial Free ContentPartial Free content
  • New ContentNew content
  • Open Access ContentOpen access content
  • Partial Open Access ContentPartial Open access content
  • Subscribed ContentSubscribed content
  • Partial Subscribed ContentPartial Subscribed content
  • Free Trial ContentFree trial content
Cookie Policy
X
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more