EURO Journal on Computational Optimization最新文献

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The Solution of some 100-city Travelling Salesman Problems 近百个城市旅行商问题的求解
IF 2.4
EURO Journal on Computational Optimization Pub Date : 2021-01-01 DOI: 10.1016/j.ejco.2021.100017
A. Land
{"title":"The Solution of some 100-city Travelling Salesman Problems","authors":"A. Land","doi":"10.1016/j.ejco.2021.100017","DOIUrl":"https://doi.org/10.1016/j.ejco.2021.100017","url":null,"abstract":"<div><p>A simplex-based <span>FORTRAN</span> code, working entirely in integer arithmetic, has been developed for the exact solution of travelling-salesman problems. The code adds tour-barring constraints as they are found to be violated. It deals with fractional solutions by adding two-matching constraints and as a last resort by ‘Gomory’ cutting plane constraints of the Method of Integer Forms. Most of the calculations are carried out on only a subset of the variables, with only occasional passes through the whole set of possible variables. Computational experience on some 100-city problems is reported.</p></div>","PeriodicalId":51880,"journal":{"name":"EURO Journal on Computational Optimization","volume":"9 ","pages":"Article 100017"},"PeriodicalIF":2.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2192440621001441/pdfft?md5=a52a3c9bdab27e0da82eb05946357c1d&pid=1-s2.0-S2192440621001441-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"92106932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Quadratically adjustable robust linear optimization with inexact data via generalized S-lemma: Exact second-order cone program reformulations 基于广义s引理的非精确数据的二次可调鲁棒线性优化:精确二阶锥规划的重新表述
IF 2.4
EURO Journal on Computational Optimization Pub Date : 2021-01-01 DOI: 10.1016/j.ejco.2021.100019
V. Jeyakumar, G. Li, D. Woolnough
{"title":"Quadratically adjustable robust linear optimization with inexact data via generalized S-lemma: Exact second-order cone program reformulations","authors":"V. Jeyakumar,&nbsp;G. Li,&nbsp;D. Woolnough","doi":"10.1016/j.ejco.2021.100019","DOIUrl":"https://doi.org/10.1016/j.ejco.2021.100019","url":null,"abstract":"<div><p>Adjustable robust optimization allows for some variables to depend upon the uncertain data after its realization. However, the uncertainty is often not revealed exactly. Incorporating inexactness of the revealed data in the construction of ellipsoidal uncertainty sets, we present an exact second-order cone program reformulation for robust linear optimization problems with inexact data and quadratically adjustable variables. This is achieved by establishing a generalization of the celebrated S-lemma for a separable quadratic inequality system with at most one non-homogeneous function. It allows us to reformulate the resulting separable quadratic constraints over an intersection of two ellipsoids in terms of second-order cone constraints. We illustrate our results via numerical experiments on adjustable robust lot-sizing problems with demand uncertainty, showing improvements over corresponding problems with affinely adjustable variables as well as with exactly revealed data.</p></div>","PeriodicalId":51880,"journal":{"name":"EURO Journal on Computational Optimization","volume":"9 ","pages":"Article 100019"},"PeriodicalIF":2.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2192440621001465/pdfft?md5=a4dc90a6e60a07a7b22d11984e1bb230&pid=1-s2.0-S2192440621001465-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91979794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
The Steiner bi-objective shortest path problem Steiner双目标最短路径问题
IF 2.4
EURO Journal on Computational Optimization Pub Date : 2021-01-01 DOI: 10.1016/j.ejco.2021.100004
Hamza Ben Ticha , Nabil Absi , Dominique Feillet , Alain Quilliot
{"title":"The Steiner bi-objective shortest path problem","authors":"Hamza Ben Ticha ,&nbsp;Nabil Absi ,&nbsp;Dominique Feillet ,&nbsp;Alain Quilliot","doi":"10.1016/j.ejco.2021.100004","DOIUrl":"10.1016/j.ejco.2021.100004","url":null,"abstract":"<div><p>In this paper, we introduce the Steiner Bi-objective Shortest Path Problem. This problem is defined on a directed graph <span><math><mrow><mi>G</mi><mo>=</mo><mo>(</mo><mi>V</mi><mo>,</mo><mi>A</mi><mo>)</mo><mo>,</mo></mrow></math></span> with a subset <span><math><mrow><mi>T</mi><mo>⊂</mo><mi>V</mi></mrow></math></span> of terminals. Arcs are labeled with travel time and cost. The goal is to find a complete set of efficient paths between every pair of nodes in <span><math><mi>T</mi></math></span>. The motivation behind this problem stems from data preprocessing for vehicle routing problems. We propose a solution method based on a labeling approach with a multi-objective A* search strategy guiding the search towards the terminals. Computational results based on instances generated from real road networks show the efficiency of the proposed algorithm compared to state-of-art approaches.</p></div>","PeriodicalId":51880,"journal":{"name":"EURO Journal on Computational Optimization","volume":"9 ","pages":"Article 100004"},"PeriodicalIF":2.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.ejco.2021.100004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127602474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Recent advances in nonconvex semi-infinite programming: Applications and algorithms 非凸半无限规划的最新进展:应用与算法
IF 2.4
EURO Journal on Computational Optimization Pub Date : 2021-01-01 DOI: 10.1016/j.ejco.2021.100006
Hatim Djelassi , Alexander Mitsos , Oliver Stein
{"title":"Recent advances in nonconvex semi-infinite programming: Applications and algorithms","authors":"Hatim Djelassi ,&nbsp;Alexander Mitsos ,&nbsp;Oliver Stein","doi":"10.1016/j.ejco.2021.100006","DOIUrl":"https://doi.org/10.1016/j.ejco.2021.100006","url":null,"abstract":"<div><p>The goal of this literature review is to give an update on the recent developments for semi-infinite programs (SIPs), approximately over the last 20 years. An overview of the different solution approaches and the existing algorithms is given. We focus on deterministic algorithms for SIPs which do not make any convexity assumptions. In particular, we consider the case that the constraint function is non-concave with respect to parameters. Advantages and disadvantages of the different algorithms are discussed. We also highlight recent SIP applications. The article closes with a discussion on remaining challenges and future research directions.</p></div>","PeriodicalId":51880,"journal":{"name":"EURO Journal on Computational Optimization","volume":"9 ","pages":"Article 100006"},"PeriodicalIF":2.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2192440621000034/pdfft?md5=5ca660963f35897b9ff91651f8795b64&pid=1-s2.0-S2192440621000034-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"92106933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 18
Mobility offer allocations in corporate settings 移动提供分配在企业设置
IF 2.4
EURO Journal on Computational Optimization Pub Date : 2021-01-01 DOI: 10.1016/j.ejco.2021.100010
Sebastian Knopp, Benjamin Biesinger, Matthias Prandtstetter
{"title":"Mobility offer allocations in corporate settings","authors":"Sebastian Knopp,&nbsp;Benjamin Biesinger,&nbsp;Matthias Prandtstetter","doi":"10.1016/j.ejco.2021.100010","DOIUrl":"https://doi.org/10.1016/j.ejco.2021.100010","url":null,"abstract":"<div><p>Corporate mobility is often based on a fixed assignment of vehicles to employees. Relaxing this fixation and including alternatives such as public transportation or taxis for business and private trips could increase fleet utilization and foster the use of battery electric vehicles. We introduce the <em>mobility offer allocation problem</em>as the core concept of a flexible booking system for corporate mobility. The problem is equivalent to interval scheduling on dedicated unrelated parallel machines. We show that the problem is NP-hard to approximate within any factor. We describe problem specific conflict graphs for representing and exploring the structure of feasible solutions. A characterization of all maximum cliques in these conflict graphs reveals symmetries which allow to formulate stronger integer linear programming models. We also present an adaptive large neighborhood search based approach which makes use of conflict graphs as well. In a computational study, the approaches are evaluated. It was found that greedy heuristics perform best if very tight run-time requirements are given, a solver for the integer linear programming model performs best on small and medium instances, and the adaptive large neighborhood search performs best on large instances.</p></div>","PeriodicalId":51880,"journal":{"name":"EURO Journal on Computational Optimization","volume":"9 ","pages":"Article 100010"},"PeriodicalIF":2.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.ejco.2021.100010","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"92106931","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Presolving linear bilevel optimization problems 求解线性双层优化问题
IF 2.4
EURO Journal on Computational Optimization Pub Date : 2021-01-01 DOI: 10.1016/j.ejco.2021.100020
Thomas Kleinert , Julian Manns , Martin Schmidt , Dieter Weninger
{"title":"Presolving linear bilevel optimization problems","authors":"Thomas Kleinert ,&nbsp;Julian Manns ,&nbsp;Martin Schmidt ,&nbsp;Dieter Weninger","doi":"10.1016/j.ejco.2021.100020","DOIUrl":"10.1016/j.ejco.2021.100020","url":null,"abstract":"<div><p>Linear bilevel optimization problems are known to be strongly NP-hard and the computational techniques to solve these problems are often motivated by techniques from single-level mixed-integer optimization. Thus, during the last years and decades many branch-and-bound methods, cutting planes, or heuristics have been proposed. On the other hand, there is almost no literature on presolving linear bilevel problems although presolve is a very important ingredient in state-of-the-art mixed-integer optimization solvers. In this paper, we carry over standard presolve techniques from single-level optimization to bilevel problems and show that this needs to be done with great caution since a naive application of well-known techniques does often not lead to correctly presolved bilevel models. Our numerical study shows that presolve can also be very beneficial for bilevel problems but also highlights that these methods have a more heterogeneous effect on the solution process compared to what is known from single-level optimization. As a side result, our numerical experiments reveal that there is an urgent need for better and more heterogeneous test instance libraries to further propel the field of computational bilevel optimization.</p></div>","PeriodicalId":51880,"journal":{"name":"EURO Journal on Computational Optimization","volume":"9 ","pages":"Article 100020"},"PeriodicalIF":2.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2192440621001477/pdfft?md5=9e7ad6370cbef2e71f6e19e0e4213468&pid=1-s2.0-S2192440621001477-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"54300226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Ailsa H. Land and her 1979 study of the traveling salesman problem: Personal reminiscences and historical remarks 艾尔萨·h·兰德和她1979年对旅行推销员问题的研究:个人回忆和历史评论
IF 2.4
EURO Journal on Computational Optimization Pub Date : 2021-01-01 DOI: 10.1016/j.ejco.2021.100016
Panagiotis A. Miliotis
{"title":"Ailsa H. Land and her 1979 study of the traveling salesman problem: Personal reminiscences and historical remarks","authors":"Panagiotis A. Miliotis","doi":"10.1016/j.ejco.2021.100016","DOIUrl":"https://doi.org/10.1016/j.ejco.2021.100016","url":null,"abstract":"<div><p>This short note provides some historical comments on occasion of the 2021 EURO Gold Medal awarded to Professor Ailsa H. Land.</p></div>","PeriodicalId":51880,"journal":{"name":"EURO Journal on Computational Optimization","volume":"9 ","pages":"Article 100016"},"PeriodicalIF":2.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S219244062100143X/pdfft?md5=106988656b2f5be2d4cd76a122e1dc5d&pid=1-s2.0-S219244062100143X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91979862","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Two decades of blackbox optimization applications 二十年的黑箱优化应用
IF 2.4
EURO Journal on Computational Optimization Pub Date : 2021-01-01 DOI: 10.1016/j.ejco.2021.100011
Stéphane Alarie , Charles Audet , Aïmen E. Gheribi , Michael Kokkolaras , Sébastien Le Digabel
{"title":"Two decades of blackbox optimization applications","authors":"Stéphane Alarie ,&nbsp;Charles Audet ,&nbsp;Aïmen E. Gheribi ,&nbsp;Michael Kokkolaras ,&nbsp;Sébastien Le Digabel","doi":"10.1016/j.ejco.2021.100011","DOIUrl":"10.1016/j.ejco.2021.100011","url":null,"abstract":"<div><p>This article reviews blackbox optimization applications of direct search optimization methods over the past twenty years. Emphasis is placed on the Mesh Adaptive Direct Search (<span>Mads</span>) derivative-free optimization algorithm. The main focus is on applications in three specific fields: energy, materials science, and computational engineering design. Nevertheless, other applications in science and engineering, including patents, are also considered. The breadth of applications demonstrates the versatility of <span>Mads</span> and highlights the evolution of its accompanying software <span>NOMAD</span> as a standard tool for blackbox optimization.</p></div>","PeriodicalId":51880,"journal":{"name":"EURO Journal on Computational Optimization","volume":"9 ","pages":"Article 100011"},"PeriodicalIF":2.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2192440621001386/pdfft?md5=24b6b1c0c0f7241ce4440915df287124&pid=1-s2.0-S2192440621001386-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121510835","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 46
(Global) Optimization: Historical notes and recent developments (全局)优化:历史记录和最近的发展
IF 2.4
EURO Journal on Computational Optimization Pub Date : 2021-01-01 DOI: 10.1016/j.ejco.2021.100012
Marco Locatelli , Fabio Schoen
{"title":"(Global) Optimization: Historical notes and recent developments","authors":"Marco Locatelli ,&nbsp;Fabio Schoen","doi":"10.1016/j.ejco.2021.100012","DOIUrl":"https://doi.org/10.1016/j.ejco.2021.100012","url":null,"abstract":"<div><p>Recent developments in (Global) Optimization are surveyed in this paper. We collected and commented quite a large number of recent references which, in our opinion, well represent the vivacity, deepness, and width of scope of current computational approaches and theoretical results about nonconvex optimization problems. Before the presentation of the recent developments, which are subdivided into two parts related to heuristic and exact approaches, respectively, we briefly sketch the origin of the discipline and observe what, from the initial attempts, survived, what was not considered at all as well as a few approaches which have been recently rediscovered, mostly in connection with machine learning.</p></div>","PeriodicalId":51880,"journal":{"name":"EURO Journal on Computational Optimization","volume":"9 ","pages":"Article 100012"},"PeriodicalIF":2.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2192440621001398/pdfft?md5=252436f9fc13d176bb9b22211d1ad1fc&pid=1-s2.0-S2192440621001398-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91979792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
A merit function approach for evolution strategies 进化策略的价值函数方法
IF 2.4
EURO Journal on Computational Optimization Pub Date : 2021-01-01 DOI: 10.1016/j.ejco.2020.100001
Youssef Diouane
{"title":"A merit function approach for evolution strategies","authors":"Youssef Diouane","doi":"10.1016/j.ejco.2020.100001","DOIUrl":"https://doi.org/10.1016/j.ejco.2020.100001","url":null,"abstract":"<div><p>In this paper, we extend a class of globally convergent evolution strategies to handle general constrained optimization problems. The proposed framework handles quantifiable relaxable constraints using a merit function approach combined with a specific restoration procedure. The unrelaxable constraints, when present, can be treated either by using the extreme barrier function or through a projection approach. Under reasonable assumptions, the introduced extension guarantees to the regarded class of evolution strategies global convergence properties for first order stationary constraints. Numerical experiments are carried out on a set of problems from the CUTEst collection as well as on known global optimization problems.</p></div>","PeriodicalId":51880,"journal":{"name":"EURO Journal on Computational Optimization","volume":"9 ","pages":"Article 100001"},"PeriodicalIF":2.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.ejco.2020.100001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91979836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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