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Urban dynamics and multiple-objective programming: A case study of Beijing

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 2008年第9期13卷 1998-2017页

作者： Yuan, X. H. Ji, Xi Chen, H. Chen, B. Chen, G. Q. Peking Univ Dept Engn Sci & Mech Natl Lab Complex Syst & Turbulence Beijing 100871 Peoples R China Peking Univ Coll Environm Sci Beijing 100871 Peoples R China Beijing Normal Univ Sch Environm State Key Lab Environm Simulat & Pollut Contol Beijing 100875 Peoples R China

This study serves as a primary application of the integrated system dynamics and multiple-objective programming (ISDMOP) model for strategic planning of Beijing city, which is here divided into six subsystems as population, resources, energy, economy, environment and ecosystem, with the planning horizon spanning from 2003 to 2020. Comparison between the original system dynamics (ORSD) model based on the existing economic structure of Beijing and the optimized system dynamics (OPSD) model adjusted according to the solutions of the multiple-objective programming (MOP) are conducted. The developing trend of each subsystem is simulated and illuminated, based on which constructive suggestions are provided for urban strategic planning of Beijing. The ISDMOP model is proved effective for investigating urban dynamics and realizing the multiple-objective programming. (C) 2007 Elsevier B.V. All rights reserved.

关键词： urban dynamics strategic planning multiple-objective programming

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Decision support for multi-objective flow shop scheduling by the Pareto Iterated Local Search methodology

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COMPUTERS & INDUSTRIAL ENGINEERING 2011年第3期61卷 805-812页

作者： Geiger, Martin Josef Helmut Schmidt Univ Univ Fed Armed Forces Hamburg Logist Management Dept D-22043 Hamburg Germany

The article describes the proposition and application of a local search metaheuristic for multi-objective optimization problems. It is based on two main principles of heuristic search, intensification through variable neighborhoods, and diversification through perturbations and successive iterations in favorable regions of the search space. The concept is successfully tested on permutation flow shop scheduling problems under multiple objectives and compared to other local search approaches. While the obtained results are encouraging in terms of their quality, another positive attribute of the approach is its simplicity as it does require the setting of only very few parameters. The metaheuristic is a key element of the Multi-objective Optimization and Production Planning Solver MOOPPS. The software has been awarded the European Academic Software Award in Ronneby, Sweden (http://***/llab/easa_***). and has since been used for research and higher education in the mentioned problem domain (Geiger, 2006). (C) 2011 Elsevier Ltd. All rights reserved.

关键词： Metaheuristics multiple-objective programming Flow shop scheduling Pareto Iterated Local Search

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PROJECT Method for Multiobjective Optimization Based on Gradient Projection and Reference Points

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IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS 2009年第4期39卷 864-879页

作者： Luque, Mariano Yang, Jian-Bo Wong, Brandon Yu Han Univ Malaga Dept Appl Econ Math E-29071 Malaga Spain Univ Manchester Manchester Business Sch Manchester M15 6PB Lancs England Citi Private Bank Singapore 049481 Singapore

In this paper, we propose a new interactive method for multiobjective programming (MOP) called the PROJECT method. Interactive methods in MOP are techniques that can help the decision maker (DM) to generate the most preferred solution from a set of efficient solutions. An interactive method should be capable of capturing the preferences of the DM in a pragmatic and comprehensive way. In certain decision situations, it may be easier and more reliable for DMs to follow an interactive process for providing local tradeoffs than other kinds of preferential information like aspiration levels, objective function classification, etc. The proposed PROJECT method belongs to the class of interactive local tradeoff methods. It is based on the projection of utility function gradients onto the tangent hyperplane of an efficient set and on a new local search procedure that inherits the advantages of the reference-point method to search for the best compromise solution within a local region. Most of the interactive methods based on local tradeoffs assume convexity conditions in a MOP problem, which is too restrictive in many real-life applications. The use of a reference-point procedure makes it possible to generate any efficient solutions, even the nonsupported solutions or efficient solutions located in the nonconvex part of the efficient frontier of a nonconvex MOP problem. The convergence of the proposed method is investigated. A nonlinear example is examined using the new method, as well as a case study on efficiency analysis with value judgements. The proposed PROJECT method is coded in Microsoft Visual C++ and incorporated into the software PROMOIN (Interactive MOP).

关键词： Interactive methods local tradeoffs multiple-objective programming reference-point methods utility functions

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A multi-objective stochastic programming approach for supply chain design considering risk

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INTERNATIONAL JOURNAL OF PRODUCTION ECONOMICS 2008年第1期116卷 129-138页

作者： Azaron, A. Brown, K. N. Tarim, S. A. Modarres, M. Dalhousie Univ Dept Ind Engn Halifax NS Canada Univ Coll Cork Dept Comp Sci Cork Constraint Computat Ctr Cork Ireland Hacettepe Univ Dept Management Ankara Turkey Sharif Univ Technol Dept Ind Engn Tehran Iran

In this paper, we develop a multi-objective stochastic programming approach for supply chain design under uncertainty. Demands, supplies, processing, transportation, shortage and capacity expansion costs are all considered as the uncertain parameters. To develop a robust model, two additional objective functions are added into the traditional comprehensive supply chain design problem. So, our multi-objective model includes (i) the minimization of the sum of current investment costs and the expected future processing, transportation, shortage and capacity expansion costs, (ii) the minimization of the variance of the total cost and (iii) the minimization of the financial risk or the probability of not meeting a certain budget. The ideas of unreliable suppliers and capacity expansion, after the realization of uncertain parameters, are also incorporated into the model. Finally, we use the goal attainment technique to obtain the Pareto-optimal solutions that can be used for decision-making. (c) 2008 Elsevier B.V. All rights reserved.

关键词： Supply chain management Stochastic programming multiple-objective programming Risk management

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Implementation of polynomial multi-objective optimization in Mathematica

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STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION 2008年第4期36卷 411-428页

作者： Stanimirovic, Predrag Stanimirovic, Ivan Univ Nis Dept Math Fac Sci Nish 18000 Serbia

We describe implementation of main methods for solving polynomial multi-objective optimization problems by means of symbolic processing available in the programming language MATHEMATICA. Symbolic transformations of unevaluated expressions, representing objective functions and constraints, into the corresponding representation of the single-objective constrained problem are especially emphasized. We also describe a function for the verification of Pareto optimality conditions and a function for graphical illustration of Pareto optimal points and given constraint set.

关键词： multiple-objective programming weighting coefficients prioritizing methods goal programming MATHEMATICA

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Single-period location models for subsidized housing: Project-based subsidies

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Socio-Economic Planning Sciences 2006年第4期40卷 249-274页

作者： Johnson, Michael P. H. John Heinz III School of Public Policy and Management Carnegie Mellon University Pittsburgh PA 15213-3890 United States

Large urban public housing authorities (PHAs) in the US have abandoned the traditional model of high-rise public housing developments and increasingly use lower-density project-based subsidized housing as well as tenant-based housing subsidies to provide affordable shelter. PHAs generally apply practitioner expertise to locate subsidized housing and do not identify housing alternatives using prescriptive planning models that optimize policy criteria and incorporate well-defined stakeholder impacts. Using policy characteristics and estimated economic impacts of subsidized housing, a new single-period multi-objective integer programming model for location of project-based subsidized housing is developed. Data requirements, relationships with standard planning models, solution characteristics and sensitivity analyses are examined. It is shown that this model gives planners considerable flexibility in choosing alternative housing configurations that can satisfy the needs of various interest groups. © 2005 Elsevier Ltd. All rights reserved.

关键词： Benefit-cost analysis Facility location multiple-objective programming Public policy Subsidized housing

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MultiGen: an integrated multiple-objective solution system

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DECISION SUPPORT SYSTEMS 2003年第2期36卷 177-187页

作者： Mirrazavi, SK Jones, DF Tamiz, M Univ Portsmouth Sch Comp Sci & Math Portsmouth PO1 2EG Hants England Temposoft UK Maidenhead S16 8BE Berks England

This paper presents an overview of a global multiple-objective system capable of rigourously handling a wide variety of multiple-objective and goal programming (GP) models. The system has two efficient solution engines that complement one another. These are an intelligent conventional optimisation system and a genetically driven heuristic search-based solver. The development of a linear and nonlinear sparse storage system capable of handling additional multiple-objective factors such as priority levels, goals, objectives, and upper and lower bounds is described. An appropriate input/output style for multiple-objective programmes is given. The resulting package provides an efficient and user-friendly environment for the interactive solution and analysis of a wide variety of multiple-objective programming (MOP) models. (C) 2002 Elsevier Science B.V. All rights reserved.

关键词： goal programming multiple-objective programming genetic algorithms

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Equivalence of balance points and Pareto solutions in multiple-objective programming

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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 1997年第1期92卷 209-212页

作者： Ehrgott, M Hamacher, HW Klamroth, K Nickel, S Schobel, A Wiecek, MM PhD Student Fachbereich Mathetnatik Universitat Kaiserslautern Kaiserslautern Germany Professor Fachbereich Mathematik Universitat Kaiserslautern Kaiserslautern Germany PhD Fachbereich Mathematik Universitat Kaiserslautern Kaiserslautern Germany PhD Fachbereich Mathematik Universitat Kaiserslautern Kaiserslautern Germany PhD Student Fachbereich Mathematik Universitat Kaiserslautern Kaiserslautern Germany Professor Fachbereich Mathematik Universitat Kaiserslautern Germany on sabbatical leave from the Department of Mathematical Sciences Clemson University Clemson South Carolina

It is shown that the concept of balance points introduced by Galperin (Ref. 1) is equivalent to the concept of Pareto optimality.

关键词： multiple-objective programming balance points balance set Pareto optimality efficient points level sets level curves

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An optimization model for location of subsidized housing in metropolitan areas

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Location Science 1998年第1-4期6卷 257-279页

作者： Johnson, Michael P. Hurter, Arthur P. H. John Heinz III Sch. Pub. Plcy. M. Carnegie Mellon University Pittsburgh PA 15213-3890 United States Dept. of Indust. Eng. and Mgmt. Sci. Northwestern University Evanston IL 60208-3119 United States

This paper presents an optimization model for evaluation of alternative spatial configurations of rent-subsidized housing in a large metropolitan area as well as associated monetary and nonmonetary impacts. Groups affected by these configurations include residents of subsidized housing, owners of nearby single-family housing, employers and society at large. Since impacts of subsidized housing are very localized, the first stage of the model creates potential location patterns for many small geographic areas. The second stage of the model uses local benefits to derive a location scheme for the metropolitan area which balances net social benefit with equity considerations of the geographical impact of subsidized housing. We apply this methodology to a small region in metropolitan Chicago and demonstrate alternative location schemes. © 1999 Elsevier Science Ltd. All rights reserved.

关键词： Equity Housing Location multiple-objective programming Public sector Welfare economics

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A mathematical programming approach for generating alternatives in discrete structural optimization

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ENGINEERING OPTIMIZATION 1997年第1-2期28卷 1-31页

作者： Baugh, JW Caldwell, SC Brill, ED Department of Civil Engineering North Carolina State University Raleigh NC 27695-7908 United States

Structural design, like other complex decision problems, involves many tradeoffs among competing criteria. While mathematical programming models are increasingly realistic, there are often relevant issues that cannot be easily captured, if at all, in a formal system. This paper describes an approach to modelling that recognizes these limitations and allows a designer to explore unmodelled issues in a joint human-computer cognitive system. A prototype based on this approach is presented for topological truss optimization, and three modelling techniques are contrasted for their effectiveness in producing ''different'' alternatives. The results show that alternatives produced using these techniques are good with respect to modelled objectives, and yet are different, and often better, with respect to interesting objectives not present in the model.

关键词： multiple-objective programming decision-support systems mathematical modelling design

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