Multi-choice stochastic bi-level programming problem in cooperative nature via fuzzy programming approach

Artikel

In this paper, a Multi-Choice Stochastic Bi-Level Programming Problem (MCSBLPP) is considered where all the parameters of constraints are followed by normal distribution. The cost coefficients of the objective functions are multi-choice types. At first, all the probabilistic constraints are transformed into deterministic constraints using stochastic programming approach. Further, a general transformation technique with the help of binary variables is used to transform the multi-choice type cost coefficients of the objective functions of Decision Makers(DMs). Then the transformed problem is considered as a deterministic multichoice bi-level programming problem. Finally, a numerical example is presented to illustrate the usefulness of the paper.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: Journal of Industrial Engineering International ; ISSN: 2251-712X ; Volume: 12 ; Year: 2016 ; Pages: 287-298 ; Heidelberg: Springer

Classification and Topics

• Classification: Management
• Subject: Bi-level programming ; Stochastic programming ; Multi-choice programming ; Fuzzy programming ; Non-linear programming

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Maiti, Sumit Kumar ; Roy, Sankar Kumar
• Event: Veröffentlichung
• (who): Springer
• (where): Heidelberg
• (when): 2016

Further information

• DOI: doi:10.1007/s40092-016-0153-y
• Handle: http://hdl.handle.net/10419/157491
• Last update: 10.03.2025, 11:43 AM CET