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ACTA PHYSICA POLONICA A 2019年第4期135卷 681-683页

作者： Kir, S. Comert, S. E. Yener, F. Yazgan, H. R. Candan, G. Sakarya Univ Fac Engn Dept Ind Engn Sakarya Turkey Sakarya Univ Fac Polit Sci Dept Econometr Sakarya Turkey

In this study, the ELT recycling process and management system of Turkey were examined. A new mixed integer nonlinear programming model was proposed for the collection, transport, and recycling of the ELT. Since the dimension of the current problem was not suitable for finding the optimum solution, a clustering approach was also proposed. The proposed approach was validated on a case study.

关键词： ELT management ELT recycling in Turkey mixed-integer nonlinear programming clustering analysis

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A novel economic scheduling of multi-product deterministic demand for co-production air separation system with liquid air energy storage

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RENEWABLE ENERGY 2023年第1期209卷 533-545页

作者： Kong, Fulin Liu, Yuxin Shen, Minghai Tong, Lige Yin, Shaowu Wang, Li Ding, Yulong Univ Sci & Technol Beijing Sch Energy & Environm Engn Beijing 100083 Peoples R China Univ Sci & Technol Beijing Beijing Key Lab Energy Saving & Emiss Reduct Met I Beijing 100083 Peoples R China Univ Birmingham Birmingham Ctr Energy Storage Birmingham England Univ Birmingham Sch Chem Engn Birmingham England

Air separation units (ASUs) integrated with liquid air energy storage (LAES) have the potential to balance grid demand and improve production profits. This study aims to enhance the demand response of a novel coproduction air separation system (NCASS) by maximizing the energy arbitrage of a LAES system. We developed a mixed-integer nonlinear programming model to minimize operating costs by using a proxy model to represent the ASU production space and a black box model to represent the material and energy flow balance of LAES. The model is based on rigorous mathematical programming and, considers material and energy flow balance, analyzes the production and delivery processes and constraints for each product, and matches equipment start-up and shutdown time constraints. The case study shows that the model achieves a high level of matter and energy matching between the distillation process and the LAES process, maximizing the LAES peakshaving capacity and improving system economics. During the 24 h schedule period, the total electricity consumption of NCASS increases by 18.94% during the valley electricity period and decreases by 20.59% during the flat and peak electricity period. The economic benefits increase by 9.51 k$, accounting for 14.29% of the total costs. This study contributes to the wider application of NCAS with LAES technology for sustainable energy management.

关键词： Energy-saving Liquid air energy storage Economic scheduling Multiple product Time-of-day tariff mixed-integer nonlinear programming

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mixed-integer programming models for line pressure optimization in shale gas gathering systems

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JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING 2017年 157卷 1021-1032页

作者： Drouven, Markus G. Grossmann, Ignacio E. Carnegie Mellon Univ Dept Chem Engn Pittsburgh PA 15213 USA

In this work we propose a mixed-integer nonlinear programming model to address the line pressure optimization problem for shale gas gathering systems. This model is designed to determine: a) the optimal timing for turning prospective wells in-line, b) the optimal pressure profile within a gathering network, and c) the necessary compression power for delivering produced gas to long-distance transmission lines. We rely on a pressure-normalized decline curve model to quantify how line pressure variations impact the gas production of individual wells. The reservoir model itself is incorporated in a transmission optimization framework which rigorously evaluates pressure drops along pipeline segments. Moreover, we explicitly consider compression requirements to lift line pressure from gas gathering levels to setpoints dictated by transmission pipeline companies. Since the resulting optimization models are large-scale, nonlinear and nonconvex, we propose a solution procedure based on an efficient initialization strategy. Finally, we present a detailed case study, and show that the proposed optimization framework can be used effectively to manage line pressures in shale gas gathering systems by properly scheduling when, and how many, new wells are brought online.

关键词： Shale gas mixed-integer nonlinear programming Optimization Line pressure Transmission lines

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An Enhanced Optimal PV and Battery Sizing Model for Zero Energy Buildings Considering Environmental Impacts

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IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS 2020年第6期56卷 6846-6856页

作者： Mehrtash, Mahdi Capitanescu, Florin Heiselberg, Per Kvols Gibon, Thomas Bertrand, Alexandre LIST ERIN L-4422 Belvaux Luxembourg Univ British Columbia Fac Sci Appl Vancouver BC V6T 1Z2 Canada Aalborg Univ Dept Civil Engn DK-9220 Aalborg Denmark

The important focus of the energy strategy of the European Union relies on the concept of zero energy building (ZEB), which is, by definition, a building that roughly produces yearly as much renewable energy as it consumes. This article proposes an enhanced mixed-integer nonlinear programming model for optimal sizing of photovoltaic (PV) and battery energy storage systems to comply with the definition of a ZEB. A salient novel feature of the proposed model is that it factors in the environmental impacts, computed through rigorous life cycle assessment methodology, of buying electricity from the grid and manufacturing battery and PV systems. Furthermore, an adjustable parameter is introduced to make the model adaptive from the perspective of the building owners willingness-to-pay for environmental impacts. The proposed model is then rigorously reformulated, managing to accumulate its nonlinearity in only one constraint per time interval. Eventually, the reformulated model is linearized to a mixed-integer linear programming model using the McCormick relaxation technique. The case study conducted on archetypal buildings in Luxembourg reveals that the proposed McCormick-based linear model is able to provide high accuracy results with reasonable computational effort.

关键词： Batteries Buildings Computational modeling Investment Maintenance engineering Mathematical model Adaptation models Battery storage system environmental impacts McCormick envelops mixed-integer nonlinear programming optimal photovoltaic (PV) and battery sizing zero energy building (ZEB)

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Second-order cone programming for solving unit commitment strategy of thermal generators

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ENERGY CONVERSION AND MANAGEMENT 2013年 76卷 20-25页

作者： Yuan, Xiaohui Tian, Hao Zhang, Shuangquan Ji, Bin Hou, Yanhong Huazhong Univ Sci & Technol Sch Hydropower & Informat Engn Wuhan 430074 Peoples R China Huazhong Univ Sci & Technol Sch Energy & Power Engn Wuhan 430074 Peoples R China

The short-term unit commitment (UC) problem of hydrothermal generation systems is a mixed-integer nonlinear programming (MINLP), which is difficult to solve efficiently, especially for large-scale instances. The perspective relaxation (PR) is an effective approach to constructing tight approximations to MINLP with semi-continuous variables. In this paper, the PR of UC problem is formulated as a mixed integer second-order cone programming (SOCP) model because the quadratic polynomial cost function of the UC problem is SOCP-representable. The proposed model is implemented by using the commercial optimization software IBM CPLEX 12.4. Extensive numerical studies have been conducted to verify the advantages of our proposed method. Instances of the test system vary from 10 to 1000 units. Our results indicate that the proposed method performs better than the existing methods in terms of production cost savings and faster computational times, especially for large systems. (C) 2013 Elsevier Ltd. All rights reserved.

关键词： mixed-integer nonlinear programming Second-order cone programming Separable convex function Unit commitment

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Algorithms for joint sensor and control nodes selection in dynamic networks

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AUTOMATICA 2019年 106卷 124-133页

作者： Nugroho, Sebastian A. Taha, Ahmad F. Gatsis, Nikolaos Summers, Tyler H. Krishnan, Ram Univ Texas San Antonio Dept Elect & Comp Engn 1 UTSA Circle San Antonio TX 78249 USA Univ Texas Dallas Dept Mech Engn 800 W Campbell Rd Richardson TX 75080 USA

The problem of placing or selecting sensors and control nodes plays a pivotal role in the operation of dynamic networks. This paper proposes optimal algorithms and heuristics to solve the Simultaneous Sensor and Actuator Selection Problem (SSASP) in linear dynamic networks. In particular, a sufficiency condition of static output feedback stabilizability is used to obtain the minimal set of sensors and control nodes needed to stabilize an unstable network. We then show that SSASP can be written as a mixed-integer nonconvex problem. To solve this nonconvex combinatorial problem, three methods based on (i) mixed-integer nonlinear programming, (ii) binary search algorithms, and (iii) simple heuristics are proposed. The first method yields optimal solutions to SSASP given that some constants are appropriately selected. The second method requires a database of binary sensor/actuator combinations, returns optimal solutions, and necessitates no tuning parameters. The third approach is a heuristic that yields suboptimal solutions but is computationally attractive. The theoretical properties of these methods are discussed and numerical tests on dynamic networks showcase the trade-off between optimality and computational time. (C) 2019 Elsevier Ltd. All rights reserved.

关键词： Sensor and control nodes selection Static output feedback control mixed-integer nonlinear programming Combinatorial heuristics

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Branch-and-price for a class of nonconvex mixed-integer nonlinear programs

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JOURNAL OF GLOBAL OPTIMIZATION 2021年第4期81卷 861-880页

作者： Allman, Andrew Zhang, Qi Univ Minnesota Dept Chem Engn & Mat Sci Minneapolis MN 55455 USA

This work attempts to combine the strengths of two major technologies that have matured over the last three decades: global mixed-integer nonlinear optimization and branch-and-price. We consider a class of generally nonconvex mixed-integer nonlinear programs (MINLPs) with linear complicating constraints and integer linking variables. If the complicating constraints are removed, the problem becomes easy to solve, e.g. due to decomposable structure. Integrality of the linking variables allows us to apply a discretization approach to derive a Dantzig-Wolfe reformulation and solve the problem to global optimality using branch-andprice. It is a remarkably simple idea;but to our surprise, it has barely found any application in the literature. In this work, we show that many relevant problems directly fall or can be reformulated into this class of MINLPs. We present the branch-and-price algorithm and demonstrate its effectiveness (and sometimes ineffectiveness) in an extensive computational study considering multiple large-scale problems of practical relevance, showing that, in many cases, orders-of-magnitude reductions in solution time can be achieved.

关键词： mixed-integer nonlinear programming Branch-and-price Decomposition Nonconvex optimization

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Optimal bus service design with limited stop services in a travel corridor

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TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW 2018年第Mar.期111卷 70-86页

作者： Wang, David Z. W. Nayan, Ashish Szeto, W. Y. Nanyang Technol Univ Sch Civil & Environm Engn 50 Nanyang Ave Singapore 639798 Singapore Univ Hong Kong Dept Civil Engn Pok Fu Lam Hong Kong Peoples R China

This paper seeks to answer questions from the combined bus operator's and users' perspective on how to design limited stop service operation strategies when they are offered along with the normal bus services. The passengers' service choice is determined by the common line calculation. The problem is formulated as a mixed integer nonlinear Program (MINLP) with equilibrium constraints. Thereafter, a global optimal solution method applying various linearization and convexification techniques is proposed. Numerical studies are then performed to evaluate the model validity and solution efficiency followed by concluding remarks.

关键词： Limited stop service Line setting Attractive lines mixed-integer nonlinear programming Global optimization

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Process Synthesis Using Block Superstructure with Automated Flowsheet Generation and Optimization

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AICHE JOURNAL 2018年第8期64卷 3082-3100页

作者： Li, Jianping Demirel, Salih Emre Hasan, M. M. Faruque Texas A&M Univ Artie McFerrin Dept Chem Engn College Stn TX 77843 USA

An alternative method for chemical process synthesis using a block-based superstructure representation is proposed. The block-based superstructure is a collection of blocks arranged in a two-dimensional grid. The assignment of different equipment on blocks and the determination of their connectivity are performed using a mixed-integer nonlinear formulation for automated flowsheet generation and optimization-based process synthesis. Based on the special structure of the block representation, an efficient strategy is proposed to generate and successively refine feasible and optimized process flowsheets. Our approach is demonstrated using two process synthesis case studies adapted from the literature and one new process synthesis problem for methanol production from biogas (C) 2018 American Institute of Chemical Engineers

关键词： process synthesis block superstructure optimization mixed-integer nonlinear programming process intensification

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Optimal traffic calming: A mixed-integer bi-level programming model for locating sidewalks and crosswalks in a multimodal transportation network to maximize pedestrians' safety and network usability

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TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW 2016年 91卷 33-50页

作者： Rashidi, Eghbal Parsafard, Mohsen Medal, Hugh Li, Xiaopeng Mississippi State Univ Dept Ind & Syst Engn Mississippi State MS 39762 USA Univ S Florida Dept Civil & Environm Engn Tampa FL 33620 USA

We study the effect that installing sidewalks and crosswalks, as traffic calming facilities, has on the safety and usability of a transportation network with automobile, public transit and walking as modes of transportation. A mathematical programming model is proposed for this problem whose objective is to minimize the safety hazard for pedestrians and the total transportation cost of the network. We utilize a customized greedy heuristic and a simulated annealing algorithm for solving the problem. The computational results indicate that installing sidewalks and crosswalks at proper locations can reduce the overall transportation cost and improve pedestrians' safety. (C) 2016 Elsevier Ltd. All rights reserved.

关键词： Multimodal transportation network mixed-integer nonlinear programming Network design Pedestrians' safety Traffic calming User equilibrium

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