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11th International Conference on Computer Aided Optimum Design of Structures

作者： Kravanja, S. Univ Maribor Fac Civil Engn SLO-2000 Maribor Slovenia

ISBN: (纸本)9781845641856

The paper presents the mixed-integer non-linear programming (MINLP) approach to structural optimization. MINLP is a combined discrete/continuous optimization technique, where discrete binary 0-1 variables are defined for optimization of discrete alternatives and continuous variables for optimization of parameters. The MINLP optimization is performed through three steps: i.e. the generation of a mechanical superstructure, the modelling of an MINLP model formulation and the solution of the defined MINLP problem. As the discrete/continuous optimization problems are usually non-convex and highly non-linear, the Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm is applied for the optimization. The accompanied Linked Multilevel Hierarchical Strategy (LMHS) is developed to accelerate the convergence of the mentioned algorithm. Two examples are presented at the end of the paper.

关键词： mixed-integer non-linear programming MINLP structural optimization structural synthesis

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An integrated analytic network process with mixed-integer non-linear programming to supplier selection and order allocation

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INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY 2010年第9-12期49卷 1195-1208页

作者： Razmi, Jafar Rafiei, Hamed Univ Tehran Univ Coll Engn Dept Ind Engn Tehran Iran

As the global business environment changed, much more commercial and technological competitions evolved in this environment. Consequently, more attention is devoted to the business partners including suppliers. In this paper, supplier selection with order allocation problem is addressed for strategic items with respect to the materials' characteristics as well as what has been mostly considered in the literature, suppliers' characteristics. The proposed model comprises an analytic network process (ANP) sub-model to qualify suppliers and filter-suitable candidates among the available ones. Additionally, the ANP sub-model is applied to evaluate suppliers regarding their qualitative attributes which cannot be modeled with mathematical tools properly. Moreover, a mixed-integer non-linear sub-model is presented to simultaneously allocate order quantities to the chosen suppliers. The model is customized to the strategic items by introducing supplier switching cost which is a notable cost component for products. Finally, experimental results and sensitivity analyses are presented to validate the proposed model.

关键词： Supplier selection Order allocation Strategic sourcing Analytic network process mixed-integer non-linear programming

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A mixed-integer non-linear programming with surrogate model for optimal remediation design of NAPLs contaminated aquifer

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INTERNATIONAL JOURNAL OF ENVIRONMENT AND POLLUTION 2014年第1期54卷 1-16页

作者： Luo, Jiannan Lu, Wenxi Jilin Univ Minist Educ Key Lab Groundwater Resources & Environm Changchun 130021 Peoples R China Jilin Univ Coll Environm & Resources Changchun 130021 Peoples R China

A mixed-integer non-linear programming (MINLP) with surrogate model was introduced to derive the optimal surfactant enhanced aquifer remediation (SEAR) process (remediation cost minimisation and removal rate maximisation) at a nitrobenzene-contaminated site. First, a 3D multi-phase flow simulation model was developed to simulate the SEAR process;using a radial basis function artificial neural network (RBFANN), the surrogate model was built which was an approximation of the simulation model;a MINLP was built to identify the optimal remediation strategies and genetic algorithm (GA) and penalty function were combined to solve the model;at last, the optimal remediation strategies were obtained. The approximation result of RBFANN was compared with that of back-propagation artificial neural network (BPANN), mean absolute error, mean relative error and coefficient of determination of the developed RBFANN model were 0.01, 2.27% and 0.85 respectively, which indicated much higher approximation accuracy than BPANN. The MINLP with surrogate model is a powerful tool for non-aqueous phase liquids (NAPLs) contaminated site remediation optimisation problem and it can greatly improve computational efficiency.

关键词： groundwater remediation mixed-integer non-linear programming non-aqueous phase liquid NAPL surrogate model

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Fuzzy mixed integer non-linear programming model for the design of an algae-based eco-industrial park with prospective selection of support tenants under product price variability

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JOURNAL OF CLEANER PRODUCTION 2016年第PartB期136卷 183-196页

作者： Ubando, Aristotle T. Culaba, Alvin B. Aviso, Kathleen B. Tan, Raymond R. Cuello, Joel L. Ng, Denny K. S. El-Halwagi, Mahmoud M. De La Salle Univ Dept Mech Engn 2401 Taft Ave Manila 0922 Philippines De La Salle Univ Ctr Engn & Sustainable Dev Res 2401 Taft Ave Manila 0922 Philippines De La Salle Univ Dept Chem Engn 2401 Taft Ave Manila 0922 Philippines Univ Arizona Agr & Biosyst Engn Dept Tucson AZ USA Univ Nottingham Ctr Excellence Green Technol Dept Chem & Environm Engn Malaysia Campus Semenyih Malaysia Texas A&M Univ Dept Chem Engn College Stn TX 77843 USA

Eco-industrial parks provide a platform for the application of industrial symbiosis where the synergistic net work of companies reuse portions of their by-products to reduce disposed waste, reduce environmental emissions, and improve plant efficiency. However, designing a complex network of material and energy exchanges between companies in an industrial park while satisfying multiple conflicting objectives require a systematic design methodology. In addition, strategic decision-making in an eco-industrial park involves the selection of prospective companies (i.e., support tenants), which complement the existing companies (i.e., anchor tenants). In this study, a fuzzy mixed-integer non-linear programming model is proposed to select prospective support tenants in an eco-industrial park while satisfying the product demand, minimizing the environmental footprint of the eco-industrial park, and also maximizing the annualized profit of each company in the eco-industrial park. A hypothetical but realistic case study involving an algae-based eco-industrial park is used to demonstrate the application of the model. The results demonstrate the selection of the appropriate support tenants for the algae-based eco-industrial park together with the optimal plant configuration. Sensitivity analysis is used to assess the performance of the algae-based eco-industrial park with respect to the changes in prices of the by-products. The developed model thus aid the planners of an eco-industrial park in assessing which among the prospective support tenants would best complements an existing anchor tenant. Furthermore, the model can also identify price negotiation points between tenants for some product streams which may show sensitivity on the plant capacity of each tenant. (C) 2016 Elsevier Ltd. All rights reserved.

关键词： Eco-industrial parks Fuzzy set theory mixed-integer non-linear programming Microalgae Bioenergy

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Unbounded convex sets for non-convex mixed-integer quadratic programming

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MATHEMATICAL programming 2014年第1-2期143卷 231-256页

作者： Burer, Samuel Letchford, Adam N. Univ Iowa Dept Management Sci Tippie Coll Business Iowa City IA 52242 USA Univ Lancaster Dept Management Sci Lancaster England

This paper introduces a fundamental family of unbounded convex sets that arises in the context of non-convex mixed-integer quadratic programming. It is shown that any mixed-integer quadratic program with linear constraints can be reduced to the minimisation of a linear function over a face of a set in the family. Some fundamental properties of the convex sets are derived, along with connections to some other well-studied convex sets. Several classes of valid and facet-inducing inequalities are also derived.

关键词： mixed-integer non-linear programming Global optimisation Polyhedral combinatorics Convex analysis

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Dynamic bus bridging strategy in response to metro disruptions integrated with routing, timetabling and vehicle dispatching

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OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE 2025年 134卷

作者： Yuan, Yin Li, Shukai Liu, Shi Qiang D'Ariano, Andrea Yang, Lixing Beijing Jiaotong Univ Sch Syst Sci Beijing 100044 Peoples R China Fuzhou Univ Sch Econ & Management Fuzhou 350108 Peoples R China Roma Tre Univ Dept Civil Comp Sci & Aeronaut Technol Engn I-00146 Rome Italy

Unplanned metro disruptions always result in severe confusion and delays, while bus bridging can provide a promising resolution by efficient evacuating stranded passengers. This article investigates the dynamic bus bridging problem under metro disruptions to generate the routing, timetabling and vehicle dispatching schemes for bus bridging services in an online fashion. Specifically, we formulate a mixed-integer non-linear programming model for each decision stage, with the objective of minimizing passenger travel times and operational costs. This model focuses on the role of multimodal transportation in improving the overall urban public transportation network's responses to metro disruption emergencies, which involves the utilization of temporary bus bridging services and the spare capacity of unaffected metro lines, passenger transfers and path choices. To address the model complexity, we propose a two-level decomposition approach to split the original problem into the master problem and subproblem. The approach can ensure the optimal solution in finite iterations. To further improve the performance of the solution approach, we design multiple acceleration techniques (i.e., customizing integer cuts supporting parallel computation, solution adjustment, domain reduction for the master problem, warm start and bound contraction for the subproblem) without compromising optimality. Extensive experiments verify that the proposed method can effectively evacuate stranded passengers, improving passenger satisfaction and meanwhile reducing operational costs. The proposed two-level decomposition approach with multiple acceleration techniques demonstrates higher computational efficiency than the common commercial solver and standard two-level decomposition approach, facilitating timely disruption responses. Additionally, according to the computational results, we derive a series of managerial insights for decision-makers.

关键词： Metro disruptions Bus bridging mixed-integer non-linear programming Two-level decomposition

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Exploring DC microgrid: Advanced applications and their control strategies

Energy 360

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Energy 360 2025年 3卷

作者： C. Elwely Salem A. Et-taleby Y. Chaibi N. Ayadi B. Elkari M. Benslimane Z. Chalh Sidi Mohamed Ben Abdellah University Fez Morocco ESME Research Lab Paris France IDEA School Euromed University Fez Morocco

The increasing reliance on microgrids (MG) as a power delivery system underscores the critical importance of advanced control strategies and application-specific solutions. With a focus on their technological advantages, possible uses and control mechanisms, this review evaluates the emerging role of DC microgrids as a viable substitute for conventional AC systems. Examining recent advancements, the paper explores key applications, including electric vehicle (EV) charging, smart buildings, hydrogen production, data centers and residential energy systems, highlighting the versatility of DC microgrids in optimizing renewable energy integration and enhancing energy efficiency. The review further categorizes and analyzes different control methods, including centralized, decentralized and distributed control, detailing their key features, limitations and mathematical representations. The findings emphasize that DC microgrids offer improved energy efficiency, reduced conversion losses and enhanced power reliability. Additionally, advanced control strategies play a crucial role in ensuring optimal energy management, system stability and operational resilience. By providing a critical analysis of these aspects, this review serves as a guide for future research and innovation in DC microgrid control and application optimization, contributing to the development of more sustainable and efficient energy systems.

关键词： AC, Alternative current AEMS, Automated energy management system BEMSs, Building energy management systems BESS, Battery energy storage system CAC, Centralized automated control CEMPC, Centralized economic model predictive control COS, Cooperative Online Scheduling CRAC, Computer room air conditioning CSWG, Climate Sustainability Work Group CVC, Clusters of vehicle control DC, Direct current DEMPC, Distributed economic model predictive control DERs, Distributed energy resources DGs, Distributed generators DMM, Direction method of multipliers DMS, Distributed management system DRC, Demand response control DTLR, Dynamic thermal line rating EMS, Energy management system ESS, Energy storage system EVCSs, Electric Vehicle Charging Stations EVs, Electric Vehicles FLC, Fuzzy logic control GA, Genetic algorithm GTBA, Game-theory based approach HDR, Holistic Demand Response HEMS, Hybrid energy management system HPWOA, Hybrid particle whale optimization algorithm HRSO, Hybrid Robust-Stochastic Optimization HV, High voltage HVAC, Heat, ventilation and air conditioning IRENA, International Renewable Energy Agency IT, Information technology LC, Local control LCOE, Levelized Cost of Energy LV, Low voltage LVAC, Low voltage alternative current LVDC, Low voltage direct current MCO, Multiple criteria optimization MG, Microgrid MINLP, mixed-integer non-linear programming MPPT, Maximum power point tracking MREAI, Microgrid renewable energy availability index MREEI, Microgrid renewable energy energy index MRI, Microgrid resiliency index MV, Medium voltage NPC, Net present cost NZB, Net zero building NZEB, Net-zero energy buildings OCO, Online Convex Optimization P2P, Peer to peer PED, Peak energy demands PEVs, Plug-in electric vehicles PFF, Power fluctuation factor PHEVs, Plug-in hybrid electric vehicles PMS, Power management system PSO, Particle Swarm Optimization PV, Photovoltaic RESs, Renewable energy sources RMOO, Robust Multi-Objective Optimization SIU, Smart interlinking unit SLA, Service legal agreement SMC, Sliding mode cont

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MINLP optimization of a composite I beam floor system

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STEEL AND COMPOSITE STRUCTURES 2016年第5期22卷 1163-1192页

作者： Zula, Tomaz Kravanja, Stojan Klansek, Uros Univ Maribor Fac Civil Engn Transportat Engn & Architecture Smetanova 17 SLO-2000 Maribor Slovenia

This paper presents the cost optimization of a composite I beam floor system, designed to be made from a reinforced concrete slab and steel I sections. The optimization was performed by the mixed-integer non-linear programming (MINLP) approach. For this purpose, a number of different optimization models were developed that enable different design possibilities such as welded or standard steel I sections, plastic or elastic cross-section resistances, and different positions of the neutral axes. An accurate economic objective function of the self-manufacturing costs was developed and subjected to design, resistance and deflection (in) equality constraints. Dimensioning constraints were defined in accordance with Eurocode 4. The Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm was applied together with a two-phase MINLP strategy. A numerical example of the optimization of a composite I beam floor system, as presented at the end of this paper, demonstrates the applicability of the proposed approach. The optimal result includes the minimal produced costs of the structure, the optimal concrete and steel strengths, and dimensions.

关键词： composite structures cost optimization structural optimization mixed-integer non-linear programming MINLP

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Multi-parametric MINLP optimization study of a composite I beam floor system

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ENGINEERING STRUCTURES 2017年 130卷 316-335页

作者： Kravanja, S. Zula, T. Klansek, U. Univ Maribor Fac Civil Engn Transportat Engn & Architecture Smetanova 17 SI-2000 Maribor Slovenia

This paper deals with a comparative study of an optimal design regarding composite steel and concrete floor structures based on the performed multi-parametric mixed-integer non-linear programming (MINLP) approach, and Eurocode specifications. The optimization models COMBOPT (COMposite Beam OPTimization) were developed and cost optimizations of the structure alternatives were performed. A series of MINLP optimizations were executed over a wide range of various design parameters: different material unit prices, hourly labour costs, imposed loads, structure spans, steel and concrete grades, welded and standard steel sections, plastic and elastic cross-sectional resistances, different positions of the neutral axis and different locations of the centre of gravity axis of the transformed (all steel) section. The Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm was applied. The minimal self-manufacturing costs of the structure, steel and concrete grades and standard sizes were obtained through each individual MINLP optimization. All the results were analysed and compared. Comparative diagrams and a recommended design for a composite floor system were determined. In addition, this study answered some questions regarding the influence of unit prices on the optimal design, the most suitable position of the neutral axis, the competitive spans of the structures with welded and standard steel sections, the competitiveness of the plastic cross-section resistance when compared to the elastic resistance, the spans and loads where the ultimate and the serviceability limit states are predominant and the adequate location of the centre of gravity axis of the transformed (all steel) section. (C) 2016 Elsevier Ltd. All rights reserved.

关键词： Composite structures Cost optimization Structure optimization Multi-parametric optimization mixed-integer non-linear programming MINLP

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Computational implementation of non-linear convex hull reformulation

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COMPUTERS & CHEMICAL ENGINEERING 2007年第7期31卷 856-866页

作者： Sawaya, Nicolas W. Grossmann, Ignacio E. Carnegie Mellon Univ Dept Chem Engn Pittsburgh PA 15213 USA

Lee and Grossmann [Lee, S., & Grossmann, I. E. (2000). New algorithms for nonlinear generalized disjunctive programming. Computers and Chemical Engineering, 24, 2125-2141] have developed a reformulation for nonlinear Generalized Disjunctive programming (GDP) problems that obtains from the intersection of the convex hulls of every disjunction. In order to computationally implement this method, it is necessary to reformulate the problem in such a way so as to avoid division by zero in the nonlinear inequalities present amongst the convex bull constraints, while preserving the convex nature of the problem. To accomplish this, we propose to replace the original set of nonlinear constraints by two different sets of convex constraints that circumvent the aforementioned problem and that approximate the original set of constraints exactly at their limit. Furthermore, we compare the two sets of approximating constraints against each other and give rigorous theoretical conditions under which one is superior to the other. Finally, we illustrate the efficiency of both approximations on a variety of numerical examples draw from the Chemical Engineering and Operations Research literature. (C) 2006 Elsevier Ltd. All rights reserved.

关键词： disjunctive programming convex hull mixed-integer non-linear programming

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