Paper Info
Title
Multi-objective two-stage grey transportation problem using utility function with goals.
Abstract
Multi-Objective Goal Programming is applied to solve problems in many application areas of real-life decision making problems. We formulate the mathematical model of Two-Stage Multi-Objective Transportation Problem (MOTP) where we design the feasibility space based on the selection of goal values. Considering the uncertainty in real-life situations, we incorporate grey parameters for supply and demands into the Two-Stage MOTP, and a procedure is applied to reduce the grey numbers into real numbers. Thereafter, we present a solution procedure to the proposed problem by introducing an algorithm and using the approach of Revised Multi-Choice Goal Programming. In the proposed algorithm, we introduce a utility function for selecting the goals of the objective functions. A numerical example is encountered to justify the reality and feasibility of our proposed study. Finally, the paper ends with a conclusion and an outlook to future investigations of the study.
Year
DOI
Venue
2017
https://doi.org/10.1007/s10100-016-0464-5
CEJOR
Keywords
Field
DocType
Transportation problem,Multi-objective decision making,Goal programming,Grey number,Utility function,90B06,90C29
Mathematical optimization,Computer science,Operations research,Transportation theory,Goal programming,Real number,Operations management,Gray (horse)
Journal
Volume
Issue
ISSN
25
2
1435-246X
Citations 
PageRank 
References 
6
0.55
11
Authors
3
Name
Order
Citations
PageRank
Sankar Kumar Roy110414.63
Gurupada Maity2303.22
Gerhard-wilhelm Weber321036.23