Issues in selecting a representative set for multi-objective integer programs

Download

index.pdf

Date

2017

Author

Özarık, Sami Serkan

Metadata

Show full item record

Item Usage Stats

175
views

85
downloads

Multi-objective Integer Programs (MOIPs) have many areas of application in real life since it allows the decision makers to consider conflicting objectives simultaneously. However, the optimal solution is not unique for MOIPs and the number of nondominated points of multi-objective integer programs increases exponentially with the problem size. Therefore, finding all nondominated points is computationally hard and not practical for the decision maker. Instead of generating all nondominated points, it is reasonable to generate a set of points that represents the nondominated set with a desired quality level. In this thesis, we develop algorithms to generate representative sets for different MOIPs using a new quality measure that considers the distribution of points over the nondominated set. We first introduce a density measure and analyze typical distributions of nondominated points for different MOIPs. We then develop an approach that approximates the nondominated set, categorizes the approximate nondominated set into regions based on their estimated densities and generate distribution-based representative sets.

Subject Keywords

Multiple criteria decision making., Decision making, Decision making

URI

http://etd.lib.metu.edu.tr/upload/12621520/index.pdf
https://hdl.handle.net/11511/26824

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

A Probabilistic and interactive approach to multiple criteria sorting Mutlu, Sinem; Köksalan, Murat; Serin, Yaşar Yasemin; Department of Industrial Engineering (2015) In this thesis, we develop a method in order to assign alternatives that are evaluated by multiple criteria into preference ordered classes probabilistically. Our motivation is that; when there are large sets of alternatives, placement could be realized in a fast and effective way based on a reasonable misclassification ratio. We assume that the underlying utility function of Decision Maker (DM) is additive. We first ask DM to place reference alternatives into the classes. We develop an interactive probabil...
An Interactive partitioning approach for multiobjective decision making under a general monotone utility function Karasakal, Esra (2013-09-01) We develop an interactive partitioning approach for solving the multiobjective decision making problem of a decision maker (DM) who has an implicit general monotone utility function. The approach reduces feasible solution space using the DM's preferences. Hypothetical solutions called partition ideals (PIs) that dominate portions of the efficient frontier are generated and those that are inferior to a feasible solution are used to eliminate the dominated regions. We investigate the issues in representation ...
An interactive ranking-based multi-criteria choice algorithm with filtering: Applications to university selection Karakaya, Gülşah (Orta Doğu Teknik Üniversitesi (Ankara, Turkey), 2019-6) In this study, we develop an interactive algorithm to converge to the most preferred alternative of a decision maker (DM) among a set of discrete alternatives. The algorithm presents a limited number of alternatives to the DM and collects preference ranking of them iteratively. The preferences are modeled by a flexible and realistic preference function. To improve the performance, the alternatives presented are determined by a filtering method. We compare our algorithm with benchmark algorithms on nume...
An interactive approach for biobjective integer programs under quasiconvex preference functions Ozturk, Diclehan Tezcaner; Köksalan, Mustafa Murat (2016-09-01) We develop an interactive algorithm for biobjective integer programs that finds the most preferred solution of a decision maker whose preferences are consistent with a quasiconvex preference function to be minimized. During the algorithm, preference information is elicited from the decision maker. Based on this preference information and the properties of the underlying quasiconvex preference function, the algorithm reduces the search region and converges to the most preferred solution progressively. Findin...
Utilisation of Decision Support Systems in Construction Management: A Literature Survey Günay, Göksu ; Pekeriçli, Mehmet Koray (2020-11-12) Today, computers are widely used in all industries for data collection and analysis, interpretation of data and decision making processes. Especially Decision Support Systems, which are computer-based Information Systems providing tools for assisting managers in making semi-structured decisions, have gained stronger ground parallel to the latest developments in information technologies including artificial intelligence applications like fuzzy logic, machine learning, natural langu...

Citation Formats

S. S. Özarık, “Issues in selecting a representative set for multi-objective integer programs,” M.S. - Master of Science, Middle East Technical University, 2017.