Multiobjective traveling salesperson problem on Halin graphs

Date

2009-07-01

Author

Ozpeynirci, Ozgur
Köksalan, Mustafa Murat

Metadata

Show full item record

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

Item Usage Stats

167
views

0
downloads

In this paper, we study traveling salesperson (TSP) and bottleneck traveling salesperson (BTSP) problems on special graphs called Halin graphs. Although both problems are NP-Hard on general graphs, they are polynomially solvable on Halin graphs. We address the multiobjective versions of these problems. We show computational complexities of finding a single nondominated point as well as finding all nondominated points for different objective function combinations. We develop algorithms for the polynomially solvable combinations.

Subject Keywords

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

URI

https://hdl.handle.net/11511/57206

Journal

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH

DOI

https://doi.org/10.1016/j.ejor.2008.04.011

Collections

Department of Industrial Engineering, Article

Suggestions

OpenMETU
Core

Bank asset and liability management under uncertainty Oguzsoy, CB; Güven, Sibel (Elsevier BV, 1997-11-01) This study presents a multiperiod stochastic linear simple recourse model for asset and liability management in banking. The model determines the portfolio of assets and liabilities over the planning horizon given a set of deterministic rates of returns of investments and costs of borrowings, and a set of random outstanding deposit levels, liquidity and total reserve requirements with a given discrete probability distribution. The intention is to develop an optimization tool to assure sustained profitabilit...
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.
Multi-objective integer programming: A general approach for generating all non-dominated solutions Oezlen, Melih; Azizoğlu, Meral (Elsevier BV, 2009-11-16) 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 comple...
JOB-SHOP SCHEDULING UNDER A NONRENEWABLE RESOURCE CONSTRAINT TOKER, A; KONDAKCI, S; ERKIP, N (JSTOR, 1994-08-01) In this paper we consider the job shop scheduling problem under a discrete non-renewable resource constraint. We assume that jobs have arbitrary processing times and resource requirements and there is a unit supply of the resource at each time period. We develop an approximation algorithm for this problem and empirically test its effectiveness in finding the minimum makespan schedules.
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...

Citation Formats

O. Ozpeynirci and M. M. Köksalan, “Multiobjective traveling salesperson problem on Halin graphs,” EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, pp. 155–161, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57206.