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interactive algorithms FOR MULTIPLE CRITERIA NONLINEAR-PROGRAMMING PROBLEMS

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 1986年第2期25卷 247-257页

作者： SADAGOPAN, S RAVINDRAN, A UNIV OKLAHOMA DEPT IND ENGNNORMANOK 73019

In this paper, several interactive procedures for solving multiple criteria nonlinear programming problems have been developed. These are based on the generalized reduced gradient method for solving single objective nonlinear programming problems. They can handle maximization problems with nonlinear concave objectives, nonlinear convex constraints and an implicit quasi-concave preference function of the decision maker. The interactive procedures work with information of varying degrees of accuracy from the decision maker, thereby extending and strengthening a number of existing methods. [ABSTRACT FROM AUTHOR]

关键词： interactive algorithms Multiple criteria optimization nonlinear programming

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interactive algorithms: Pool, Stream and Precognitive Stream

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JOURNAL OF MACHINE LEARNING RESEARCH 2018年第154期18卷 1-39页

作者： Sabato, Sivan Hess, Tom Ben Gurion Univ Negev Dept Comp Sci IL-8410501 Beer Sheva Israel

We consider interactive algorithms in the pool-based setting, and in the stream-based setting. interactive algorithms observe suggested elements (representing actions or queries), and interactively select some of them and receive responses. Pool-based algorithms can select elements at any order, while stream-based algorithms observe elements in sequence, and can only select elements immediately after observing them. We further consider an intermediate setting, which we term precognitive stream, in which the algorithm knows in advance the identity of all the elements in the sequence, but can select them only in the order of their appearance. For all settings, we assume that the suggested elements are generated independently from some source distribution, and ask what is the stream size required for emulating a pool algorithm with a given pool size, in the stream-based setting and in the precognitive stream setting. We provide algorithms and matching lower bounds for general pool algorithms, and for utility-based pool algorithms. We further derive nearly matching upper and lower bounds on the gap between the two settings for the special case of active learning for binary classification.

关键词： interactive algorithms active learning pool-based stream-based

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interactive algorithms: pool, stream and precognitive stream

The Journal of Machine Learning Research

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The Journal of Machine Learning Research 2017年第1期18卷

作者： Sivan Sabato Tom Hess Department of Computer Science Ben-Gurion University of the Negev Beer Sheva Israel

关键词： active learning interactive algorithms pool-based stream-based

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Development and application of wavelet-based algorithms for damage localization in two-dimensional structures

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Journal of Building Pathology and Rehabilitation 2025年第1期10卷 1-16页

作者： de Sá, Rafael Alan Gomes, Gilberto Silva, Ramon Graduate Program in Structures and Civil Construction - PECC University of Brasília Brasilia Brazil

Damage detection in civil engineering is crucial for ensuring the safety and maintenance of infrastructure. This study introduces the development and implementation of innovative algorithms based on the Wavelet Transform (WT) for damage detection and localization in two-dimensional structures, integrated with the Boundary Element Method (BEM). The study conducts a detailed multiresolution analysis of displacement data using an academic computational package for modeling, meshing, and data acquisition. Key analyses include evaluating the effectiveness of different wavelet families in damage detection, assessing the impact of varying the Reference Line (RL) resolution from 19 to 9 points, and examining the trade-offs between computational efficiency and accuracy. The algorithms are validated on two beam typologies: fixed-free (cantilever) and fixed–fixed (double-clamped). The results demonstrate high accuracy in damage localization. The findings highlight the advantages of combining WT with BEM for structural monitoring, offering significant improvements over traditional methods. The paper concludes by discussing the potential for applying these techniques to a broader range of structures and damage scenarios, aiming to enhance the reliability and scope of structural health monitoring systems. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.

关键词： BEM interactive algorithms Multiresolution analysis Structural damage detection Wavelet transform

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USING EFFICIENT FEASIBLE DIRECTIONS IN interactive MULTIPLE OBJECTIVE LINEAR-PROGRAMMING

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OPERATIONS RESEARCH LETTERS 1991年第4期10卷 203-209页

作者： BENSON, HP AKSOY, Y TULANE UNIV AB FREEMAN SCH BUSINESS NEW ORLEANS LA 70118 USA

In this paper we show how to incorporate efficient feasible directions into interactive line search algorithms for multiple objective linear programming problems. The resulting new line search is guaranteed to generate points that lie in the efficient set. In addition, the new line search automatically corrects possible errors in judgement that the decision maker may inadvertently commit in giving some of his responses. These two improvements are achieved without sacrificing the key property of typical interactive line search algorithms, namely that they yield a new point at each iteration more preferred by the decision maker than the current point. The only additional computational requirement of the new line search is the solution of a single linear programming problem at each iteration. For these reasons, we advocate the incorporation of efficient feasible directions into interactive line search algorithms for multiple objective linear programs in the manner shown in this paper.

关键词： MULTIPLE CRITERIA EFFICIENT POINTS interactive algorithms

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A novel multi-objective interactive Coral Reefs Optimization algorithm for the Unequal Area Facility Layout Problem

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SWARM AND EVOLUTIONARY COMPUTATION 2020年 55卷 100688-100688页

作者： Garcia-Hernandez, L. Salas-Morera, L. Carmona-Munoz, C. Abraham, A. Salcedo-Sanz, S. Univ Cordoba Area Project Engn Cordoba Spain Machine Intelligence Res Labs MIR Labs Sci Network Innovat & Res Excellence Auburn WA USA Univ Alcala Dept Signal Proc & Commun Madrid Spain

The Unequal Area Facility Layout Problem (UA-FLP) has been widely analyzed in the literature using several heuristics and meta-heuristics to optimize some qualitative criteria, taking into account different restrictions and constraints. Nevertheless, the subjective opinion of the designer (Decision Maker, DM) has never been considered along with the quantitative criteria and restrictions. This work proposes a novel approach for the UA-FLP based on an interactive Coral Reefs Optimization (ICRO) algorithm, which combines the simultaneous consideration of both quantitative and qualitative (DM opinion) features. The algorithm implementation is explained in detail, including the way of jointly considering quantitative and qualitative aspects in the fitness function of the problem. The experimental part of the paper illustrates the effect of including qualitative aspects in UA-FLP problems, considering three different hard UA-FLP instances. Empirical results show that the proposed approach is able to incorporate the DM preferences in the obtained layouts, without affecting much to the quantitative part of the solutions.

关键词： UA-FLP Coral Reefs Optimization interactive algorithms Bio-inspired algorithms

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AN interactive SYSTEM FOR SUPPORTING MULTIOBJECTIVE DECISION-MAKING

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AUTOMATICA 1983年第6期19卷 697-702页

作者： WUWONGSE, V KOBAYASHI, S ICHIKAWA, A TOKYO INST TECHNOL DEPT SYST SCIYOKOHAMAKANAGAWA 227JAPAN

The purpose of this paper is to develop an interactive system for supporting the decision making process under multiple objectives and to empirically evaluate its performance. An interactive algorithm underlying the system is proposed with emphasis on the psychological aspects of the decision maker (DM). A choice process model is developed, based on pairwise comparison judgments of alternatives, because the judgments are basic and easy for a DM. A corresponding interactive algorithm is implemented and compared with other existing algorithms. Two kinds of comparative experiments, numerical and subject experiments, are conducted to verify the validity of the choice model as well as the practical effectiveness and the convergence of the algorithm.

关键词： interactive algorithms man-machine systems model of human choice process Multiobjective decision making utility function

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interactive optimization

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Annals of Operations Research 1986年第1-4期5卷 541-556页

作者： Fisher, M.L. Department of Decision Sciences The Wharton School University of Pennsylvania Philadelphia 19104 PA United States

Optimization algorithms or heuristics in which the user interacts significantly either during the solution process or as part of post-optimality analysis are becoming increasingly popular. An important underlying premise of such man/ machine systems is that there are some steps in solving a problem in which the computer has an advantage and other steps in which a human has an advantage. This paper first discusses how man/machine systems can be useful in facilitating model specification and revision, coping with aspects of a problem that are difficult to quantify and assisting in the solution process. We then survey successful systems that have been developed in the areas of vehicle scheduling, location problems, job shop scheduling, course scheduling, and planning language-based optimization. © 1986 J.C. Baltzer A.G., Scientific Publishing Company.

关键词： graphics interactive algorithms Programming scheduling

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Robust indicator-based algorithm for interactive evolutionary multiple objective optimization

Robust indicator-based algorithm for interactive evolutionar...

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Genetic and Evolutionary Computation Conference (GECCO)

作者： Tomczyk, Michal K. Kadzinski, Milosz Poznan Univ Tech Inst Comp Sci Poznan Poland

ISBN: (纸本)9781450361118

We propose a novel robust indicator-based algorithm, called IEMO/I, for interactive evolutionary multiple objective optimization. During the optimization run, IEMO/I selects at regular intervals a pair of solutions from the current population to be compared by the Decision Maker. The successively provided holistic judgements are employed to divide the population into fronts of potential optimality. These fronts are, in turn, used to bias the evolutionary search toward a subset of Pareto-optimal solutions being most relevant to the Decision Maker. To ensure a fine approximation of such a subset, IEMO/I employs a hypervolume metric within a steady-state indicator-based evolutionary framework. The extensive experimental evaluation involving a number of benchmark problems confirms that IEMO/I is able to construct solutions being highly preferred by the Decision Maker after a reasonable number of interactions. We also compare IEMO/I with some selected state-of-the-art interactive evolutionary hybrids incorporating preference information in form of pairwise comparisons, proving its competitiveness.

关键词： Evolutionary algorithms multiple objective optimization preference learning interactive algorithms pairwise comparisons indicator-based algorithms

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interactive decision making: Equivalence of modified formulations

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Annals of Operations Research 1994年第1期51卷 1-13页

作者： Rustem, Berç Department of Computing Imperial College of Science Technology and Medicine London SW7 2BZ 180 Queen's Gate United Kingdom

We discuss the use of a quadratic norm for departures from the bliss value of a decision problem under conflicting objectives. The use of a quadratic norm is, for example, of interest within the dynamic framework of optimal control. The symmetric nature of the quadratic norm is relaxed to allow for nonsymmetric preferences. The possibility of tailoring the quadratic objective function to generate optimal policies which are acceptable to the policy maker is explored with two alternative interactive algorithms. One of these is for objective functions with diagonal weighting matrices and uses updates of the bliss values. The second algorithm proceeds by updating non-diagonal weights, while keeping the bliss values fixed. The equivalence of both algorithms is established. © 1994 J.C. Baltzer AG, Science Publishers.

关键词： decision support interactive algorithms Multiple objectives quadratic programming

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