Multiobjective Two-Stage Stochastic Programming Problems with Interval Discrete Random Variables
Joint Authors
Chakravarty, D.
Biswal, M. P.
Barik, S. K.
Source
Advances in Operations Research
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-17
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Information Technology and Computer Science
Abstract EN
Most of the real-life decision-making problems have more than one conflicting and incommensurable objective functions.
In this paper, we present a multiobjective two-stage stochastic linear programming problem considering some parameters of the linear constraints as interval type discrete random variables with known probability distribution.
Randomness of the discrete intervals are considered for the model parameters.
Further, the concepts of best optimum and worst optimum solution are analyzed in two-stage stochastic programming.
To solve the stated problem, first we remove the randomness of the problem and formulate an equivalent deterministic linear programming model with multiobjective interval coefficients.
Then the deterministic multiobjective model is solved using weighting method, where we apply the solution procedure of interval linear programming technique.
We obtain the upper and lower bound of the objective function as the best and the worst value, respectively.
It highlights the possible risk involved in the decision-making tool.
A numerical example is presented to demonstrate the proposed solution procedure.
American Psychological Association (APA)
Barik, S. K.& Biswal, M. P.& Chakravarty, D.. 2012. Multiobjective Two-Stage Stochastic Programming Problems with Interval Discrete Random Variables. Advances in Operations Research،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-459805
Modern Language Association (MLA)
Barik, S. K.…[et al.]. Multiobjective Two-Stage Stochastic Programming Problems with Interval Discrete Random Variables. Advances in Operations Research No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-459805
American Medical Association (AMA)
Barik, S. K.& Biswal, M. P.& Chakravarty, D.. Multiobjective Two-Stage Stochastic Programming Problems with Interval Discrete Random Variables. Advances in Operations Research. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-459805
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459805