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Multi-objective surrogate optimization of mixed-variable IPM motor design problem with ADMM-based approach

OPTIMIZATION AND ENGINEERING 2025年 1-26页

作者： Asanuma, Tatsuya Kanno, Yoshihiro Univ Tokyo Grad Sch Informat Sci & Technol Dept Math Informat Hongo 7-3-1 Tokyo 1138656 Japan JMAG Business Co JSOL Corp Kudan Kaikan TerraceKudan Minami 1-6-5 Tokyo 1020074 Japan

Designing electric motors boils down to solving multi-objective optimization problems where we look for design variables satisfying multiple requirements on, e.g., torque and electromagnetic losses. To design high-performance motors without restriction by existing design ideas, it is necessary to take the design space as wide as possible at the initial design stage. When dealing with the extensive design space, it is required to treat the basic structure parameters of motors and the detailed dimensions as design variables. For an interior permanent magnet (IPM) motor, which is one of the typical motor types, we need to handle discrete integer design variables such as the number of slots and the coil pitch in addition to the continuous ones. However, it is difficult to obtain the discrete design variable values without rounding off to the nearest allowed values in the framework of the existing continuous surrogate optimization such as sequential approximation optimization (SAO) with the response surface created from the electromagnetic finite element analysis results. We solve this mixed-variable optimization problem by the heuristic approach based on the alternating direction method of multipliers (ADMM) and show with example design problems that the better results are obtained more efficiently in terms of the number of expensive objective function evaluations compared to taking rounding-off measures.

关键词： Electric motor Multi-objective optimization mixed-integer nonlinear programming Sequential approximation optimization Surrogate-based optimization Radial basis function network

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Real-time train regulation in the metro system with energy storage devices: An efficient decomposition algorithm with bound contraction

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TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES 2024年 159卷

作者： Li, Shukai Yuan, Yin Chen, Zebin Yang, Lixing Yu, Chengpu Beijing Jiaotong Univ Sch Syst Sci Beijing 100044 Peoples R China Beijing Inst Technol Sch Automat Beijing 100081 Peoples R China

Focusing on the energy -conservation train operation issues, this paper proposes an effective real-time train regulation scheme for metro systems with energy storage devices. Specifically, to minimize train timetable deviation, passenger waiting and energy consumption, we formulate a mixed -integer nonlinear programming model to generate energy -efficient train regulation strategies. This model explicitly considers the train traffic, passenger load and storage, immediate and delayed uses of regenerative energy. Carefully tailored to the proposed model, we devise an efficient decomposition algorithm to split the original problem into small-scale subproblems. In the algorithm, specific values of binary variables, passenger -flow estimates and logic -based cuts are consecutively identified and updated. Besides, bound contraction and bilinear -specific warming start procedures are particularly designed for further acceleration. Numerical experiments are conducted to validate the proposed model and method. Our energyefficient train regulation strategies can improve train departure punctuality, headway regularity, reduce passenger waiting times, and achieve energy savings. Furthermore, the solution algorithm exhibits promising computational efficiency in real -world experiments, thereby facilitating an online implementation.

关键词： Metro system Real-time train regulation Energy storage devices Decomposition algorithm mixed-integer nonlinear programming

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A novel multi-operation sequencing formulation for the crude oil scheduling problem with restricted overlapping constraints

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COMPUTERS & CHEMICAL ENGINEERING 2024年 187卷

作者： Wang, Chuan Yang, Minglei Dai, Xin Fan, Chen Du, Wenli East China Univ Sci & Technol State Key Lab Ind Control Technol Shanghai 200237 Peoples R China East China Univ Sci & Technol Key Lab Smart Mfg Energy Chem Proc Minist Educ Shanghai 200237 Peoples R China

The scheduling of crude oil operations holds critical significance in the petrochemical industry due to its profound influence on downstream unit operations and, consequently, overall business profitability. This work presents a novel multi-operation sequencing formulation considering operations with restricted overlapping constraints. This operation-centric model also distinguishes itself by incorporating constraints posed by refinery practice such as downstream product management, multiparcel unloading, brine settling, and changeover detection. A new symmetry-breaking strategy is applied to remove symmetric solutions properly and expedite problem solving while ensuring solution quality. Case studies of various examples are conducted to validate the efficacy of the proposed model. Comparative analyses are performed with the unit-specific event-based formulation, which enables multiple time grids tailored to different units and is widely used in continuous-time modeling. Results further demonstrate the great potential of the presented formulation in generating tighter bounds and accelerating convergence.

关键词： Crude oil operation scheduling mixed-integer nonlinear programming Mathematical modeling Symmetry-breaking

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Integrative decision on new product development in configurable product family

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EUROPEAN JOURNAL OF INDUSTRIAL ENGINEERING 2024年第2期18卷 191-224页

作者： Ziaei, Mazaher Ketabi, Saeedeh Ghandehari, Mahsa Univ Isfahan Dept Management Esfahan Iran

Intensified competition leads companies to integrate decision-making on design, supply, and marketing policies for the new product development (NPD). This integration is more substantial for the manufacturers of configurable product families (CPF) such as cars. This study aims to develop a profit-maximisation model to concurrently optimise all main variables of configuration selection, components' supply policy, price, modules' warranty length, and launch time for NPD in CPF. The proposed model is a mixed-integer nonlinear program and is solved through an adapted differential evolution (DE) algorithm. Different numerical cases extracted from one automobile company are studied, and sensitivity analysis on the main parameters is performed. The results approve the significant effects of integrative decision-making based on new variables on the profit. Due to the diversity of the decision variables, the model can be applied in a wide range of situations. Furthermore, considering more realistic assumptions helps to achieve more practical solutions and applicable results.

关键词： configurable product family modules' warranty length launch time mixed-integer nonlinear programming differential evolution DE algorithm

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Solving continuous and discrete nonlinear programs with BARON

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COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 2024年 1-39页

作者： Zhang, Yi Sahinidis, Nikolaos V. Optimizat Firm LLC Shanghai Peoples R China Georgia Inst Technol H Milton Stewart Sch Ind & Syst Engn Atlanta GA 30332 USA Georgia Inst Technol Sch Chem & Biomol Engn Atlanta GA 30332 USA

Under development since the early 1990s, BARON has become a highly robust and efficient computational system for solving nonconvex continuous and discrete optimization problems to global optimality. This work discusses key features that were introduced to BARON in the past decade, including hybrid relaxations, linear and nonlinear presolve methods, enhanced convexification methods, heuristics, and various robustness enhancements. A systematic computational comparison on benchmark libraries is presented among various state-of-the-art local and global codes for nonlinear and mixed-integer nonlinear programs. The results demonstrate the benefits from the newly added algorithmic facilities, and the leading performance of BARON over both local and global solvers.

关键词： Global optimization mixed-integer nonlinear programming nonlinear programming Computation BARON

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An integrated multi-objective optimization, evaluation, and decision-making method for ship energy system

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APPLIED ENERGY 2024年 373卷

作者： Wu, Nianyuan Zhang, Fang Zhang, Fuzheng Jiang, Chenxing Lin, Jian Xie, Shan Jing, Rui Zhao, Yingru Xiamen Univ Coll Energy Xiamen 361005 Peoples R China State Power Investment Corp State Nucl Elect Power Planning Design & Res Inst Beijing Peoples R China

With the rapid development of global shipping industry, the energy conservation and emission reduction issue of ships has received increasing attention from the international community. A series of regulations released by the International Maritime Organization (IMO) have greatly stimulated the related research. However, the mechanism of optimization design and evaluation of marine ship energy system at the whole ship level based on the comprehensive consideration of various performance of ships is still unclear. In the present study, an integrated modeling method of multi-objective optimization and evaluation for ship energy system are proposed to optimize the design of ship energy system. This paper constructs a technical selection, capacity allocation, and operational optimization model for ship energy systems using mixed-integer nonlinear programming (MINLP) method. Based on determining relevant constraints and multiple objective functions, the data envelopment analysis (DEA) method is introduced to evaluate and make decisions on the multi-objective optimization results, and compared with traditional decision-making method. The economic optimization results show that the net present cost of ship energy system can be reduced by 20%, while the NOx, SOx and CO2 emissions of the system are reduced by 41%, 20% and 32%, respectively. Moreover, the energy efficiency of the optimized ship energy system is improved by 9% compared to the conventional ship energy system. In summary, the proposed method can effectively identify the advantages and disadvantages of different solutions, therefore provide more design options of sub-optimal schemes for decision makers.

关键词： Ship energy system mixed-integer nonlinear programming Multi-objective optimization Data envelopment analysis

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Optimization of container ship sailing speed considering carbon emissions policies and cargo time value

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ENGINEERING OPTIMIZATION 2025年

作者： Xing, Yuwei Wu, Zerong Yang, Hualong Zheng, Jianfeng Liu, Baoli Dalian Maritime Univ Transportat Engn Coll Dalian Peoples R China

This article addresses the container ship sailing speed optimization problem considering carbon emissions policies and cargo time value. A mixed-integer nonlinear programming model is formulated to minimize total cost. For consistent sailing speeds across different legs of the voyage, a novel analytical solution is introduced. For scenarios where sailing speeds vary, a discretization method is proposed to transform the nonlinear model into an integer linear one, which can be solved by CPLEX. The proposed model is validated via a numerical experiment. The findings indicate that fluctuations in the unit time value of container cargo exert a more significant influence on the average container ship sailing speed than factors associated with carbon emissions policies. Sensitivity analysis reveals that the cap-and-trade policy is more effective than the carbon tax policy in reducing carbon dioxide emissions. These insights are valuable for liner shipping companies to achieve a balance between environmental sustainability and customer satisfaction.

关键词： Container ship sailing speed cap-and-trade policy carbon tax policy cargo time value mixed-integer nonlinear programming

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On the use of overlapping convex hull relaxations to solve nonconvex MINLPs

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JOURNAL OF GLOBAL OPTIMIZATION 2025年第2期91卷 415-436页

作者： Wu, Ouyang Muts, Pavlo Nowak, Ivo Hendrix, Eligius M. T. HAW Hamburg D-20099 Hamburg Germany Univ Malaga Malaga 29016 Spain

We present a novel relaxation for general nonconvex sparse MINLP problems, called overlapping convex hull relaxation (CHR). It is defined by replacing all nonlinear constraint sets by their convex hulls. If the convex hulls are disjunctive, e.g. if the MINLP is block-separable, the CHR is equivalent to the convex hull relaxation obtained by (standard) column generation (CG). The CHR can be used for computing an initial lower bound in the root node of a branch-and-bound algorithm, or for computing a start vector for a local-search-based MINLP heuristic. We describe a dynamic block and column generation (DBCG) MINLP algorithm to generate the CHR by dynamically adding aggregated blocks. The idea of adding aggregated blocks in the CHR is similar to the well-known cutting plane approach. Numerical experiments on nonconvex MINLP instances show that the duality gap can be significantly reduced with the results of CHRs. DBCG is implemented as part of the CG-MINLP framework Decogo, see https://***/en/latest/***.

关键词： Decomposition method Parallel computing Column generation Nonconvex optimization mixed-integer nonlinear programming

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Stackelberg Pricing Game for Ride-Hailing Platforms With Combined Travel Modes

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IEEE TRANSACTIONS ON INTELLIGENT TRANSPORTATION SYSTEMS 2024年第11期25卷 15856-15870页

作者： Xu, Weina Lin, Gui-Hua Wang, Tingsong Zhu, Xide Shanghai Univ Polit Sci & Law Sch Econ & Management Shanghai 201701 Peoples R China Shanghai Univ Sch Management Shanghai 200444 Peoples R China

This paper proposes a pricing strategy based on the variable-ratio charging-compensation scheme for a ride-hailing platform with combined travel modes (Express or Carpool) of riders in a general network composed of multiple corridors. We establish a Stackelberg game model with the platform as a leader and the riders as followers to capture the decision-making process of stakeholders, in which the pricing decision is determined by the platform in the upper level taking each rider's optimal response into account and travel modes are selected by riders independently in the lower level. The built model is a mixed-integer bilevel programming problem, which is difficult to solve due to its inherent hierarchical structure and discrete variables. By means of some mathematical techniques, we transform the bilevel model equivalently into a single-level mixed-integer nonlinear programming problem. Based on the numerical examples and results analysis, we bring some interesting managerial insights into the pricing of ride-hailing platforms, one of which is that booking fees of Express, unit time and distance fees of Express, compensations for Express riders and Express drivers are the core pricing factors to affect travel mode choices of riders.

关键词： Ride-hailing platform variable-ratio charging-compensation scheme travel mode Stackelberg game mixed-integer nonlinear programming Ride-hailing platform variable-ratio charging-compensation scheme travel mode Stackelberg game mixed-integer nonlinear programming

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Hybrid Active-Passive RIS Transmitter Enabled Energy-Efficient Multi-User Communications

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IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS 2024年第9期23卷 10653-10666页

作者： Huang, Ao Mu, Xidong Guo, Li Zhu, Guangyu Beijing Univ Posts & Telecommun Key Lab Universal Wireless Commun Minist Educ Beijing 100876 Peoples R China Beijing Univ Posts & Telecommun Sch Artificial Intelligence Beijing 100876 Peoples R China Beijing Univ Posts & Telecommun Natl Engn Res Ctr Mobile Internet Secur Technol Beijing 100876 Peoples R China Queen Mary Univ London Sch Elect Engn & Comp Sci London E1 4NS England

A novel hybrid active-passive reconfigurable intelligent surface (RIS) transmitter enabled downlink multi-user communication system is investigated. Specifically, RISs are exploited to serve as transmitter antennas, where each element can flexibly switch between active and passive modes to deliver information to multiple users. The system energy efficiency (EE) maximization problem is formulated by jointly optimizing the RIS element scheduling and beamforming coefficients, as well as the power allocation coefficients, subject to the user's individual rate requirement and the maximum RIS amplification power constraint. Using the Dinkelbach relaxation, the original mixed-integer nonlinear programming problem is transformed into a nonfractional optimization problem with a two-layer structure, which is solved by the alternating optimization approach. In particular, an exhaustive search method is proposed to determine the optimal operating mode for each RIS element. Then, the RIS beamforming and power allocation coefficients are properly designed in an alternating manner. To overcome the potentially high complexity caused by exhaustive searching, we further develop a joint RIS element mode and beamforming optimization scheme by exploiting the Big-M formulation technique. Numerical results validate that: 1) The proposed hybrid RIS scheme yields higher EE than the baseline multi-antenna schemes employing fully active/passive RIS or conventional radio frequency chains;2) Both proposed algorithms are effective in improving the system performance, especially the latter can achieve precise design of RIS elements with low complexity;and 3) For a fixed-size hybrid RIS, maximum EE can be reaped by setting only a minority of elements to operate in the active mode.

关键词： Multi-user communication energy-efficient design hybrid reconfigurable intelligent surface RIS element scheduling mixed-integer nonlinear programming Multi-user communication energy-efficient design hybrid reconfigurable intelligent surface RIS element scheduling mixed-integer nonlinear programming

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