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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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Bi-objective optimization of a single machine batch scheduling problem with energy cost consideration

TL;DR: In this paper, a bi-objective single machine batch scheduling problem with non-identical job sizes, the time-of-use (TOU) electricity prices, and different energy consumption rates of the machine is investigated.
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Integrated Production Inventory Routing Planning for Intelligent Food Logistics Systems

TL;DR: A new method that combines an $\epsilon$ -constraint-based two-phase iterative heuristic and a fuzzy logic method is developed to solve a new integrated planning problem for intelligent food logistics systems.
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Integrated temporary facility location and casualty allocation planning for post-disaster humanitarian medical service

TL;DR: A bi-objective optimization model is developed to determine the optimal temporary medical service locations and medical service allocation plan by maximizing the number of expected survivals and minimizing the total operational cost in the way of using ambulances and helicopters.
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Bi-objective identical parallel machine scheduling to minimize total energy consumption and makespan

TL;DR: This paper considers an identical parallel machine scheduling problem to minimize simultaneously two objectives: the total energy consumption (TEC) and the makespan, and an augmented ɛ -constraint method is applied to obtain an optimal Pareto front for small-scale instances.
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Energy- and Spectrum-Efficient User Association in Millimeter-Wave Backhaul Small-Cell Networks

TL;DR: The user association problem aiming at the joint maximization of network energy efficiency (EE) and spectrum efficiency (SE) without compromising the user quality of service (QoS) is studied and a heuristic algorithm is proposed, which is compared with reference solutions under different traffic scenarios and BH technologies.
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.