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Some nondifferentiable multiobjective programming problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2006年第2期316卷 472-482页

作者： Mishra, SK Noor, MA Govind Ballabh Pant Univ Agr & Technol Dept Math Stat & Comp Sci Coll Basic Sci & Humanities Pantnagar 263145 Uttar Pradesh India COMSATS Inst Informat Technol Dept Math Islamabad Pakistan

In this paper it is shown that a relaxation defining the class of generalized d-V-type-I functions leads to a new class of multi-objective problems which preserves the sufficient optimality and duality results in the scalar non-differentiable case, and avoids the major difficulty of verifying that the inequality holds for the same kernel function. The results obtained in this paper generalize and extend the previously known results in this area. (c) 2005 Elsevier Inc. All rights reserved.

关键词： multi-objective programming duality pareto efficient solution generalized d-V-invexity

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Research on non-linear input-output model based on production function theory and a new method to update IO coefficients matrix

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APPLIED MATHEMATICS AND COMPUTATION 2006年第1期181卷 478-486页

作者： Zhao, Narisa Tang Huanwen Luo Xiaona Dalian Univ Technol Sch Management Dalian 116024 Peoples R China Dalian Univ Technol Dept Appl Math Dalian 116024 Peoples R China

A non-linear IO system is presented in this paper, based on the IO theory and production function theory. It is an extension of the famous Leontief's IO model. The original model is a description of the situation when each sector possesses constant returns to scale characteristics and input factors change by equal proportion. Using the new model, the paper puts forward a new and more flexible adjustment equation of IO coefficients matrix. In addition, an example is given to prove the feasibility and validity of the non-linear IO model. (c) 2006 Elsevier Inc. All rights reserved.

关键词： input-output non-linear production function RAS multi-objective programming

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multi-objective risk assessment of freshwater inflow on ecosystem sustainability in San Antonio Bay, Texas

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WATER INTERNATIONAL 2006年第2期31卷 169-182页

作者： Chang, Ni-Bin Parvathinathan, Gomathishankar Dyson, Brian Univ Cent Florida Dept Civil & Environm Engn Orlando FL 32816 USA Texas A&M Univ Dept Environm Engn Kingsville TX USA

San Antonio Bay is located on the coast of Texas between Galveston Bay and Corpus Christi Bay and is the primary bay in the Guadalupe Estuary. Three rivers feed San Antonio Bay from two river basins, including the Blanco and Guadalupe Rivers in the Guadalupe River Basin and the San Antonio River in the San Antonio River Basin. The Canyon Reservoir regulates the flow of fresh water in the middle and lower reaches of the Guadalupe River These inflows are a primary regulator of salinity and, thus,,the productivity of commercially important estuarine species. Increasing demand for water has prompted plans for an increased diversion of 49.3 million m(3) (40, 000 acre-feet) from the reservoir An additional amount of 61.6 million m(3) (50,000 acre-feet) from the mouth of the river is to be pumped back to, San Antonio to relieve over-pumping of the Edwards Aquifer. Because the Guadalupe River Basin contributes 58.1 percent of the freshwater inflow to the estuary, it is not known what the impact of these actions will have on the ecological integrity of the San Antonio Bay. Water resource management in the San Antonio Basin consists of decision making under risk and uncertainty related to randomness in the critical parameters such as the salinity in the bay, biological productivity, and total flow into the bay. The aim of this study is to investigate the trade-offs between the competing objectives of maximizing biological,productivity in the bay and minimizing flow using Stochastic Compromise programming (SCP). The SCP model solves a multi-objective function subject to constraints that must be maintained at three different Prescribed levels of probability providing a global set of solutions for the water resource management problem under input uncertainty. The SCP model provides information on the trade-offs among the objective function value, tolerance values of the constraint at the prescribed levels of probability, which could be valuable to policy makers in risk assessmen

关键词： environmental flow ecological systems systems analysis multi-objective programming risk assessment water resources management

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Enumeration technique for set covering problems: a combinatorial approach

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JOURNAL OF INTERDISCIPLINARY MATHEMATICS 2006年第2期9卷 421-430页

作者： Saxena, Ratnesh Rajan Univ Delhi Deen Dayal Upadhyaya Coll Dept Math Karam Pura Delhi 110015 India

Set Covering Problems belong to a class of 0-1 integer programming problems which are NP-complete. The Set Covering Problems have many applications such as location of emergency facilities, truck deliveries, political districting, Air Line Crew Scheduling, Networking and all other programming problems that need the decision variables of the form 0-1. In this paper an enumeration technique is developed to solve the Set Covering Problem using the combinatorial technique. The well-known Breadth First Search technique of graph theory forms the basis of the algorithm. The Set Covering Problems with linear and nonlinear objective functions are discussed. At the end, the concept is extended for multi-objective Set Covering Problem. The algorithms developed in the paper are supported by numerical examples.

关键词： Integer programming problems multi-objective programming combinatroics

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multiproduct, multicriteria model for supplier selection with product life-cycle considerations

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DECISION SCIENCES 2006年第4期37卷 577-603页

作者： Narasimhan, Ram Talluri, Srinivas Mahapatra, Santosh K. Clarkson Univ Sch Business Potsdam NY 13699 USA Michigan State Univ Dept Mkt & Supply Chain Management Eli Broad Coll Business E Lansing MI 48824 USA

In industrial purchasing contexts firms often procure a set of products from the same suppliers to benefit from economies of scale and scope. These products are often at different stages of their respective product life cycles (PLCs). Firms consider multiple criteria in purchasing such products, and the relative importance of these criteria varies depending on the PLC stage of a given product. Therefore, a firm should select suppliers and choose sourcing arrangements such that product requirements across multiple criteria are satisfied over time. The extant models in sourcing literature for evaluating and selecting suppliers for a portfolio of products have not considered this important and practical issue faced by firms. This article proposes a mathematical model that effectively addresses this issue and contributes to the sourcing literature by demonstrating an approach for optimally selecting suppliers and supplier bids given the relative importance of multiple criteria across multiple products over their PLC. The application of the model on a hypothetical data set illustrates the strategic and tactical significance of such considerations.

关键词： multi-objective programming Product Life Cycle Supplier Selection and Supply-Base Management

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The optimization methods based on non-dominated sorting genetic algorithm for scheduling of material flow in mineral process

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IMACS multiconference on Computational Engineering in Systems Applications (CESA 2006)

作者： Ma, E. J. Chai, T. Y. Bai, R. Northeastern Univ Res Ctr Automat Shenyang 110004 Liaoning Peoples R China

ISBN: (纸本)9787302139225

Scheduling of material flow of each section in mineral process affects not only the stability and continuity of mineral process but also realization of global production indices of the process. Synthetically considering such factors as grade of concentrate, output of concentrate, concentration-ratio and capacity of buffer storage, we establish multi-objective programming model based on object of minimized fluctuation of mineral process assembly load and minimized punish fees, and apply improved non-dominated sorting genetic algorithm to solve the model. Consequently, the optimum processing quantity of each section in material process can be obtained, which provide the reference in seeking the reasonable scheduling of material flow in mineral enterprise.

关键词： mineral process scheduling of material flow multi-objective programming non-dominated sorting genetic algorithm

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A TOD planning model to review the regulation of allowable development densities around subway stations

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LAND USE POLICY 2006年第3期23卷 353-360页

作者： Lin, J. J. Gau, C. C. Natl Taipei Univ Grad Inst Urgan Planning Taipei Taiwan

Transit-oriented development (TOD) planning generally emphasizes development efficiency, but ignores the other two aspects of sustainability: environment quality and social equity. This study has developed a multi-objective programming model for TOD planning. Based on the concept of sustainability, three objectives are considered: maximizing subway system ridership;maximizing living-environment quality;and optimizing the social equity of land development. The decision variables are the ratios of floor space to site space (RFS) for different land uses in subway station areas. Meanwhile, the constraints include restrictions on land use density, land use combinations, and level of service facilities. The Chunghsiao-Fuhsing station area in Taipei is chosen as a case study to illustrate the model application and planning results. From sensitivity analysis, it is found that enlarging the upper bound of RFS can increase subway ridership, but at a cost of reducing social equity and living environment. It is not necessary to set the upper bound of the RFS greater than 70%, because subway ridership does not significantly increase, in this case study. (c) 2004 Elsevier Ltd. All rights reserved.

关键词： transit-oriented development density regulation multi-objective programming

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Computation of some stochastic linear programming problems with Cauchy and extreme value distributions

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INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 2005年第6期82卷 685-698页

作者： Sahoo, NP Biswal, MP Indian Inst Technol Dept Math Kharagpur 721302 W Bengal India

Stochastic programming is concerned with optimization problems in which some or all parameters are treated as random variables in order to capture the uncertainty which is almost always an inherent feature of the system being modelled. It is a methodology for allocating today's resources to meet tomorrow's unknown demands. A general approach to deal with uncertainty is to assign a probability distribution to the unknown parameters. The basic idea used in stochastic optimization is to convert the probabilistic model to an equivalent deterministic model. The resulting model is then solved by standard linear or non-linear programming methods. In this paper two probability distributions, the Cauchy distribution and the extreme value distribution, are introduced for stochastic programming. Two different approaches are applied to transform the probabilistic multi-objective linear programming problem into deterministic models. The computational procedures of the models are discussed.

关键词： stochastic linear programming multi-objective programming goal programming Cauchy distribution extreme value distribution computation

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Sensitivity of efficiency classifications in the inverse DEA models

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APPLIED MATHEMATICS AND COMPUTATION 2005年第2期169卷 905-916页

作者： Jahanshahloo, GR Lotfi, FH Shoja, N Tohidi, G Razavyan, S Islamic Azad Univ Dept Math Tehran Ctr Branch Tehran Iran Islamic Azad Univ Dept Math Sci & Res Branch Tehran Iran Islamic Azad Univ Dept Math Tehran S Branch Tehran Iran Islamic Azad Univ Dept Math Firuozkooh Branch Firuozkooh Iran

The previous methods of sensitivity analysis have restricted attention to technical aspects of efficiency. Evaluations arising from prices, costs and preference on decision making units (DMUs) are not addressed in these methods. In this paper, we propose a modified version of inverse data envelopment analysis (DEA) models for sensitivity of efficiency classifications of efficient and inefficient DMUs in which important policies over inputs, outputs and DMUs are represented by preference cones. We use the non-dominated solutions of the modified version of inverse DEA to obtain the Lipper and lower bounds of inputs and outputs variations range. The method is illustrated through an example in which data set is taken from previous research on DEA. (c) 2004 Elsevier Inc. All rights reserved.

关键词： data envelopment analysis inverse DEA models sensitivity analysis efficiency. multi-objective programming

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Mitigating CO2 emissions by adjusting the power generation mix in Taiwan

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INTERNATIONAL JOURNAL OF GLOBAL ENERGY ISSUES 2005年第4期23卷 360-373页

作者： Hsu, George Chen, Tser-Yieth Natl Chung Hsing Univ Dept Appl Econ 250Kuo Kuang Rd Taichung 402 Taiwan Natl Chung Hsing Univ Dept Management Informat Syst Taichung 402 Taiwan Natl Dong Hwa Univ Dept Int Business Shoufeng Hua Lien Hsieng Taiwan

In this paper, we employ a multi-objective programming model to estimate the power generation mix trade-off between generation costs and CO2 emissions in Taiwan. Eight policy scenarios are simulated and compared to the reference and base cases. The empirical results show that, for the electricity sector, CO2 emissions in 2010 could be set at 120% of the 1990 level, by way of promoting cogeneration and gas-fired generation capacity. The estimated per unit mitigation cost of CO2 emission would be US$358/ton. The policy implications are discussed and limitation of this study is also presented.

关键词： Kyoto Protocol CO2 emission mitigation cost multi-objective programming power generation mix Taiwan

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