Chance constrained programming with some non-normal continuous random variables

D. K. Mohanty (), Avik Pradhan () and M. P. Biswal ()
Additional contact information
D. K. Mohanty: Indian Institute of Technology, Kharagpur
Avik Pradhan: Indrashil Institute of Science and Technology, Gujarat Technological University
M. P. Biswal: Indian Institute of Technology, Kharagpur

OPSEARCH, 2020, vol. 57, issue 4, No 9, 1298 pages

Abstract: Abstract Stochastic or probabilistic programming is a branch of mathematical programming that deals with some situations in which an optimal decision is desired under random uncertainty of some parameters. In this paper, we consider some chance constrained linear programming problems where the right hand side parameters of the chance-constraints follow some non-normal continuous distributions such as power function distribution, triangular distribution and trapezoidal distribution. To find the solution of the stated problems, we first convert the problems in to equivalent deterministic models. Then standard linear programming techniques are used to solve the equivalent deterministic models. Some numerical examples are presented to illustrate the methodology.

Keywords: Stochastic programming; Chance constrained programming; Power function distribution; Triangular distribution; Trapezoidal distribution (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s12597-020-00454-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:opsear:v:57:y:2020:i:4:d:10.1007_s12597-020-00454-9

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/12597

DOI: 10.1007/s12597-020-00454-9

Access Statistics for this article

OPSEARCH is currently edited by Birendra Mandal

More articles in OPSEARCH from Springer, Operational Research Society of India
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().