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An Exact ε-constraint Method for Bi-objective Combinatorial Optimization Problems - Application to the Traveling Salesman Problem with Profits

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TLDR
It is shown in this paper that the Pareto front of bi-objective problems can be efficiently generated with the [epsilon]-constraint method and heuristics based on information gathered from previous subproblems that significantly speed up the method are described.
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This article is published in European Journal of Operational Research.The article was published on 2009-04-01. It has received 334 citations till now. The article focuses on the topics: 2-opt & Bottleneck traveling salesman problem.

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Citations
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An optimization-based heuristic for the Multi-objective Undirected Capacitated Arc Routing Problem

TL;DR: The MUCARP is heuristically tackled and an approximation of the optimal Pareto front is determined through an optimization-based heuristic procedure, whose performances are tested and analyzed on classical benchmark instances.
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A novel model for sustainable waste collection arc routing problem: Pareto-based algorithms

TL;DR: In this paper , a mixed-integer linear programming (MILP) model was developed to formulate the sustainable periodic capacitated arc routing problem (PCARP) for municipal solid waste (MSW) management.
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Optimizing the choice of influential nodes for diffusion on a social network

TL;DR: A bi‐objective probabilistic integer programming model is developed that assumes that actors are heterogeneous in the probability that they will pass messages along their ego networks.
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A single vehicle routing problem with fixed delivery and optional collections

TL;DR: In this paper, a branch-and-cut method was proposed to solve the single-vehicle routing problem with fixed delivery and optional collections, where all delivery customers must be visited by the vehicle, while a collection customer is visited if the capacity of the vehicle is large enough to fit the collected load and the visit reduces collection costs that would be otherwise incurred.
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Scenario-based heuristic to two-stage stochastic program for the parallel machine ScheLoc problem

TL;DR: Investigation of the stochastic parallel machine ScheLoc problem to minimise the weighted sum of the location cost and the expectation of the total completion time shows that the scenario-based heuristic outperforms the SAA method and GA in terms of solution quality and computational time.
References
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Book

Nonlinear Multiobjective Optimization

TL;DR: This paper is concerned with the development of methods for dealing with the role of symbols in the interpretation of semantics.
BookDOI

Multiple criteria decision analysis: state of the art surveys

TL;DR: In this article, the authors present a survey of the state of the art in multiple criterion decision analysis (MCDA) with an overview of the early history and current state of MCDA.
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Performance assessment of multiobjective optimizers: an analysis and review

TL;DR: This study provides a rigorous analysis of the limitations underlying this type of quality assessment in multiobjective evolutionary algorithms and develops a mathematical framework which allows one to classify and discuss existing techniques.
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TSPLIB—A Traveling Salesman Problem Library

TL;DR: This paper contains the description of a traveling salesman problem library (TSPLIB) which is meant to provide researchers with a broad set of test problems from various sources and with various properties.