A Goal Programming Approach to Multichoice Multiobjective Stochastic Transportation Problems with Extreme Value Distribution
Joint Authors
Al Qahtani, Hadeel
El–Hefnawy, Ali
El–Ashram, Maha M.
Fayomi, Aisha
Source
Advances in Operations Research
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-09-11
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Information Technology and Computer Science
Abstract EN
This paper presents the study of a multichoice multiobjective transportation problem (MCMOTP) when at least one of the objectives has multiple aspiration levels to achieve, and the parameters of supply and demand are random variables which are not predetermined.
The random variables shall be assumed to follow extreme value distribution, and the demand and supply constraints will be converted from a probabilistic case to a deterministic one using a stochastic approach.
A transformation method using binary variables reduces the MCMOTP into a multiobjective transportation problem (MOTP), selecting one aspiration level for each objective from multiple levels.
The reduced problem can then be solved with goal programming.
The novel adapted approach is significant because it enables the decision maker to handle the many objectives and complexities of real-world transportation problem in one model and find an optimal solution.
Ultimately, a mixed-integer mathematical model has been formulated by utilizing GAMS software, and the optimal solution of the proposed model is obtained.
A numerical example is presented to demonstrate the solution in detail.
American Psychological Association (APA)
Al Qahtani, Hadeel& El–Hefnawy, Ali& El–Ashram, Maha M.& Fayomi, Aisha. 2019. A Goal Programming Approach to Multichoice Multiobjective Stochastic Transportation Problems with Extreme Value Distribution. Advances in Operations Research،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1121541
Modern Language Association (MLA)
Al Qahtani, Hadeel…[et al.]. A Goal Programming Approach to Multichoice Multiobjective Stochastic Transportation Problems with Extreme Value Distribution. Advances in Operations Research No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1121541
American Medical Association (AMA)
Al Qahtani, Hadeel& El–Hefnawy, Ali& El–Ashram, Maha M.& Fayomi, Aisha. A Goal Programming Approach to Multichoice Multiobjective Stochastic Transportation Problems with Extreme Value Distribution. Advances in Operations Research. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1121541
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1121541