Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao zbMATH Openarrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article
Data sources: zbMATH Open
International Economic Review
Article . 1970 . Peer-reviewed
Data sources: Crossref
versions View all 3 versions
addClaim

Stochastic Linear Programming with Chance Constraints

Stochastic linear programming with chance constraints
Authors: Sengupta, J K;

Stochastic Linear Programming with Chance Constraints

Abstract

An ordinary linear programming model is said to be chance-constrained if its linear constraints are associated with a set of measures indicating the extent of violation of the constraints. The CCP approach usually assumes the resource vector to be normally and mutually independently distributed and then derives a deterministic concave programming problem. In the SLP approach the tolerance measure for the linear constraints is not preassigned by the decision maker and the approach seeks to derive the statistical distribution of the optimal solution vector and also of the optimal objective function under the assumption that the set (A, b, c) of parameters contains elements with known probability distributions. Some basic differences of the CCP and the SLP approaches may be noted at the outset. First, the CCP approach utilizes the distribution properties of relevant random variables statisfying preassigned tolerance limits to specify a deterministic nonlinear program, whereas the SLP approach starts from a deterministic linear program (e.g., a program where all random elements are replaced by their expected values) and admits the random variations around its optimal basis to derive the probability distribution of the optimal solution satisfying (if necessary at a later stage) some tolerance measures if and when feasible. Second, nonlinearities are introduced in both approaches, although the initial problem in both cases is a linear programming problem. Third, the CCP approach restricts decision rules within a certain class (e.g.,

Keywords

Linear programming, Stochastic programming

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    6
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!