Multi-objective integer programming: A general approach for generating all non-dominated solutions

Date

2009-11-16

Author

Oezlen, Melih
Azizoğlu, Meral

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

269
views

0
downloads

In this paper we develop a general approach to generate all non-dominated solutions of the multi-objective integer programming (MOIP) Problem. Our approach, which is based on the identification of objective efficiency ranges, is an improvement over classical epsilon-constraint method. Objective efficiency ranges are identified by solving simpler MOIP problems with fewer objectives. We first provide the classical epsilon-constraint method on the bi-objective integer programming problem for the sake of completeness and comment on its efficiency. Then present our method on tri-objective integer programming problem and then extend it to the general MOIP problem with k objectives. A numerical example considering tri-objective assignment problem is also provided.

Subject Keywords

Management Science and Operations Research, Modelling and Simulation, Information Systems and Management

URI

https://hdl.handle.net/11511/43574

Journal

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH

DOI

https://doi.org/10.1016/j.ejor.2008.10.023

Collections

Department of Industrial Engineering, Article

Suggestions

OpenMETU
Core

THE SCHEDULING OF ACTIVITIES TO MAXIMIZE THE NET PRESENT VALUE OF PROJECTS - COMMENT SEPIL, C (Elsevier BV, 1994-02-24) In a recent paper, Elmaghraby and Herroelen have presented an algorithm to maximize the present value of a project. Here, with the help of an example, it is shown that the algorithm may not find the optimal solution.
A NEW HEURISTIC APPROACH FOR THE MULTIITEM DYNAMIC LOT-SIZING PROBLEM KIRCA, O; KOKTEN, M (Elsevier BV, 1994-06-09) In this paper a framework for a new heuristic approach for solving the single level multi-item capacitated dynamic lot sizing problem is presented. The approach uses an iterative item-by-item strategy for generating solutions to the problem. In each iteration a set of items are scheduled over the planning horizon and the procedure terminates when all items are scheduled. An algorithm that implements this approach is developed in which in each iteration a single item is selected and scheduled over the planni...
An efficient algorithm for the capacitated single item dynamic lot size problem Kırca, Ö. (Elsevier BV, 1990-3) A dynamic programming based algorithm is developed for the single item lot size problem with concave costs and arbitrary capacities. By making use of the extreme point properties of the problem, first the set of all feasible cumulative production levels that may occur in an optimal solution is generated. In the second stage, a dynamic programming procedure is carried out over this set. The worst case computational effort is equal to that of the standard dynamic programming approach but extensive computation...
Assessment of criteria - rich rankings for environmental policy making Yeralan, Sencer; Ozdoglar, Mehmet Rasit; Azizoğlu, Meral (Inderscience Publishers, 2011-12-01) This paper illustrates the use of mathematical programming techniques to extract more information out of composite indexes (e.g., the EPI-2008) that would assist decision makers. While recognising the qualitative aspects of such decision making, in order to support and guide the policy making process, we develop analytical tools to assist the process. We carefully delineate our models to be limited only to the provable quantitative properties of the available objective data. However, such data are processed...
Effective optimization with weighted automata on decomposable trees Ravve, E. V.; Volkovich, Z.; Weber, Gerhard Wilhelm (Informa UK Limited, 2014-01-02) In this paper, we consider quantitative optimization problems on decomposable discrete systems. We restrict ourselves to labeled trees as the description of the systems and we use weighted automata on them as our computational model. We introduce a new kind of labeled decomposable trees, sum-like weighted labeled trees, and propose a method, which allows us to reduce the solution of an optimization problem, defined in a fragment of Weighted Monadic Second Order Logic, on such a tree to the solution of effec...

Citation Formats

M. Oezlen and M. Azizoğlu, “Multi-objective integer programming: A general approach for generating all non-dominated solutions,” EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, pp. 25–35, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/43574.