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Reformulations of mixed-integer programming Continuous-Time Models for Chemical Production Scheduling

INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH 2014年第24期53卷 10155-10165页

作者： Merchan, Andres F. Maravelias, Christos T. Univ Wisconsin Dept Chem & Biol Engn Madison WI 53706 USA

Although several optimization models have been proposed for chemical production scheduling, there is still a need for effective solution methods. Accordingly, the goal of this work is to present different reformulations of representative continuous-time models by introducing an explicit variable for the number of batches of a given task. This idea, which has been successfully applied to discrete-time models, results in significant computational enhancement. We discuss how different objective functions benefit from particular reformulations and show significant improvements by means of an extensive computational study that includes several instances containing different process networks and scheduling horizons.

关键词： mixed integer linear programming CONTINUOUS time models PRODUCTION scheduling STRUCTURAL optimization DISCRETE-time systems SCHEDULING

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Power Reduction in FM Networks by mixed-integer programming: A Case Study

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IEEE ACCESS 2024年 12卷 23725-23732页

作者： Avella, Pasquale Nobili, Paolo Sassano, Antonio Univ Sannio Dipartimento Ingn I-82100 Benevento Italy Univ Tuscia DAFNE I-01100 Viterbo Italy Sapienza Univ Roma Dipartimento Ingn Informat Automat & Gestionale DI I-00185 Rome Italy

The climate change emergency calls for a reduction in energy consumption in all human activities and production processes. The radio broadcasting industry is no exception. However, reducing energy requirements by uniformly cutting the radiated power at every transmitter can potentially impair the quality of service. A careful evaluation and optimization study are in order. In this paper, by analyzing the Italian frequency modulation analog broadcasting service, we show that it is indeed possible to significantly reduce the energy consumption of the broadcasters without sacrificing the quality of the service, rather, even getting improvements.

关键词： Climate change Energy consumption mixed integer linear programming Power system management Energy conservation Optimization methods Power system reliability Power system measurements Human factors Quality of service Broadcasting Broadcast networks FM power reduction mixed-integer programming

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A mixed-integer programming model for an integrated production planning problem with preventive maintenance in the pulp and paper industry

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ENGINEERING OPTIMIZATION 2023年第8期55卷 1352-1369页

作者： Aviles, Francisco N. Etchepare, Renato Maynard Aguayo, Maichel M. Valenzuela, Mario Univ San Sebastian Fac Ingn Arquitectura & Diseno Lientur 1457 Concepcion 4080871 Chile

Production planning and scheduling in the pulp and paper industry can be very challenging. In most cases, practitioners address the production planning process manually, which is time-consuming and sub-optimal. This study deals with production planning encountered in a pulp mill company involving different wood species, parallel heterogeneous lines, inventory limits, sequence-independent setup times and preventive maintenance. To tackle the problem, an efficient mixed-integer formulation is proposed that optimizes when, where and how much to produce of different wood species and schedules preventive maintenance to minimize the total setup times. Several computational experiments are conducted to solve a case study in a pulp mill company in Chile. The results show the capability of the model to support the decision-making process in the pulp and paper industry, providing an efficient tool for practitioners to solve the problem in a reasonable amount of time.

关键词： Production planning preventive maintenance pulp and paper industry mixed integer linear programming lot-sizing

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Using mixed integer programming for the volt/var optimization in distribution feeders

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ELECTRIC POWER SYSTEMS RESEARCH 2013年 98卷 39-50页

作者： Borghetti, Alberto Univ Bologna I-40126 Bologna Italy

One of the functions that characterize modern management systems of electric power distribution networks is the periodical short-term optimization of the operating conditions. Such a function is typically designated as volt/var optimization (VVO). The usual objective is the minimization of network loss or demand. The main constraints are the maximum current values in lines or transformers and a few percentage point deviation of bus voltages from the rated value. WO exploits the availability of two-way communication and the possibility to control transformer load tap changers, switchable capacitor banks, and reactive outputs of specific embedded generators (being active outputs often fixed by market decisions or by energy resource characteristics). The use of mixed integer linear programming (MILP) appears to have been less explored than other approaches for the solution of WO problems. This paper presents a MILP model that includes the approximate representation of the main characteristics and constraints of short-term distribution system operation. The quality of the results obtained for different test feeders in various operating conditions and the corresponding performances of the solver appear promising for online applications. (C) 2013 Elsevier B.V. All rights reserved.

关键词： Distribution management systems Volt/var optimization Load tap changers Switchable capacitor banks Embedded generation mixed integer linear programming

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Modeling of heavy-load train operation adjustment under temporary skylight

Modeling of heavy-load train operation adjustment under temp...

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2024 International Conference on Smart Transportation and City Engineering, STCE 2024

作者： Gao, Mingming Dai, Bin Yu, Lintong Cai, Zhenghong Dispatching and Command Center Guoneng Shuohuang Railway Development Co. Ltd. Suning China School of Transportation and Logistics Southwest Jiaotong University Chengdu China

ISBN: (纸本)9781510690585

In the operation of heavy-load railways, the setting of temporary windows has a significant impact on the train operation plan. How to effectively adjust the train operation diagram during and after the windows are lifted to ensure the safe and timely passage of trains has become a key issue in railway scheduling. Aiming at the problem of heavy-load train operation adjustment under temporary windows, this paper proposes a mixed integer linear programming model, which includes two sub-models: the optimization of the train detention plan and the optimization of the departure plan. The train detention plan model mainly solves the selection of trains that need to stop during the window and their specific stop tracks, intending to minimize the cancellation of trains. The departure plan model optimizes the departure order and time for trains that resume operation after the window is lifted, to minimize the overall delay time of the train. Taking the Shuohuang Railway as an example, this paper verifies the effectiveness of the model through simulation experiments. The results show that the model performs well in reducing train delay time and optimizing resource allocation, providing theoretical support for railway scheduling under temporary windows. © 2025 SPIE.

关键词： heavy-load train mixed integer linear programming temporary skylight train diagram adjustment

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Multistage Production Planning in the Dairy Industry: A mixed-integer programming Approach

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INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH 2015年第46期54卷 11709-11719页

作者： Bilgen, Bilge Dogan, Koray Dokuz Eylul Univ Dept Ind Engn TR-35160 Izmir Turkey ITU Ayazaga Campus Solvoyo Innovat Lab Istanbul Turkey

This paper addresses a production planning problem in a multistage production system consisting of continuous processing resources separated by finite-capacity storage tanks, stimulated by a particular case study in the dairy industry. The problem is formulated as a mixed-integer linear programming (MILP) model that incorporates several distinguishing characteristics of dairy production, such as multistage bulk production, shelf-life requirements, intermediate storage, setups, resource speeds, limitations on minimum and maximum lot sizes, and the conservation of flow among various tanks. The objective is to maximize the total profit while determining the quantity of intermediate products and SKUs processed on various resources, the assignment of products to various resources and intermediate storage tanks, the quantity of each SKU sold, lost sales of each SKU, and waiting times. The determinations often reveal production bottlenecks. The efficiency of the proposed model is illustrated through its application to the milk production plant of a leading dairy company. Special features of the proposed model are highlighted through several examples. The computational performance of the MILP model is examined in several test scenarios.

关键词： PRODUCTION planning DAIRY industry mixed integer linear programming CONTINUOUS processing STORAGE tanks

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mixed integer programming of multi-objective security-constrained hydro/thermal unit commitment

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RENEWABLE & SUSTAINABLE ENERGY REVIEWS 2014年第Jan.期29卷 911-923页

作者： Norouzi, Mohammad Reza Ahmadi, Abdollah Nezhad, Ali Esmaeel Ghaedi, Amir Islamic Azad Univ Dept Elect Engn Lamerd Branch Lamerd Iran Islamic Azad Univ Dept Elect Engn Sci & Res Branch Fars *** Iran Islamic Azad Univ Dept Elect Engn Dariun Branch Shiraz Iran

This paper proposes a method for short term security-constrained unit commitment (SCUC) for hydro and thermal generation units. The SCUC problem is modeled as a multi-objective problem to concurrently minimize the ISO's cost as well as minimizing the emissions caused by thermal units. The non-linearity of valve loading effects is linearized in the presented problem. In order to model the SCUC problem more realistically, this paper considers the dynamic ramp rate of thermal units instead of the fixed rate. Moreover, multi-performance curves pertaining to hydro units are developed and the proposed SCUC problem includes the prohibited operating zones (POZs). Besides, the model of SCUC is transformed into mixed integer linear programming (MILP) instead of using mixed integer non-linear programming (MINLP) which has the capability to be solved efficiently using optimization software even for real size power systems. Pareto optimal solutions are generated by employing lexicographic optimization as well as hybrid augmented-weighted epsilon-constraint technique. Furthermore, a Fuzzy decision maker is utilized in this paper to determine the most preferred solution among Pareto optimal solutions derived through solving the proposed multi-objective SCUC problem. Eventually, the proposed model is implemented on modified IEEE 118-bus system comprising 54 thermal units and 8 hydro units. The simulation results reveal that the solutions obtained from the proposed technique in comparison with other methods established recently are superior in terms of total cost and emission output. (C) 2013 Elsevier Ltd. All rights reserved.

关键词： Security-constrained unit commitment mixed integer linear programming Multi-objective optimization Augmented epsilon-constraint method Hydro units

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Symmetry issues in mixed integer programming based Unit Commitment

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INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS 2014年第Jan.期54卷 86-90页

作者： Alemany, J. Magnago, F. Moitre, D. Pinto, H. [a] Department of Electrical and Electronic Engineering Univ. Nacional de Río Cuarto Argentina [b] Nexant Inc. AZ USA

A mixed integer linear problem is called symmetric if the variables can be permuted without changing the structure of the problem. Generally, these problems are difficult to solve due to the redundant solutions which populate the enumeration tree. In Unit Commitment problems the symmetry is present when identical generators have to be scheduled. This article presents a way to reduce the computational burden of the Branch and Cut algorithm by adding appropriate inequalities into the mixed-linear formulation of the Unit Commitment problem. In the examples considered, this approach leads to a substantial reduction in computational effort, without affecting the objective value. (C) 2013 Elsevier Ltd. All rights reserved.

关键词： Identical generators mixed integer linear programming Security Constrained Unit Commitment Symmetry Unit Commitment

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An MILP Approach Based Optimization Techniques for Offshore Wind Farms Electrical Collector Systems

An MILP Approach Based Optimization Techniques for Offshore ...

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2025 International Conference on Electrical Automation and Artificial Intelligence, ICEAAI 2025

作者： Huang, Lijuan Hou, Ting Pan, Zhen Cheng, Min Zhang, Yining Xin, Qingming Guangxi Power Grid Co. Ltd China Southern Power Grid Co. Ltd Guangxi Nanning530000 China Electric Power Research Institute Co. Ltd China Southern Power Grid Co. Ltd Guangdong Guangzhou510000 China

ISBN: (纸本)9798331506797

The sizing and placement of the lines between the offshore substation (OS) and the wind turbines (WTs) are optimized using the mixed integer linear programming-based approach to large-scale offshore wind farm collector system planning (OWF-CSP) that we offer in this work. In order to guarantee the radiality of the topology of the offshore wind farm's collector system and expedite the solution process, we discover that the problem is comparable to distribution system planning, where topological constraints from Distribution Network Extension Planning (DNEP) are implemented. The effectiveness of the proposed method is demonstrated by a case study based on an OWF with 42 fixed-location WTs. The OWF-CSP approach suggested in this paper reduces the computational time with the aid of radiality constraints and lowers the investment cost and power loss on the cables in comparison to the conventional design. © 2025 IEEE.

关键词： Distribution Network Extension Planning mixed integer linear programming offshore wind farm

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A Novel Solution Approach to a Priority-Slot-Based Continuous-Time mixed integer Nonlinear programming Formulation for a Crude-Oil Scheduling Problem

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INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH 2016年第41期55卷 10955-10967页

作者： Zhao, Yuming Wu, Naiqi Li, Zhiwu Qu, Ting Guangdong Univ Technol Sch Electromech Engn Guangzhou 510006 Guangdong Peoples R China Macau Univ Sci & Technol Inst Syst Engn Taipa Macau Peoples R China Zhaoqing Univ Sch Comp Sci Zhaoqing 526061 Guangdong Peoples R China Jinan Univ Sch Elect & Informat Engn Zhuhai Campus Zhuhai 519070 Peoples R China

To satisfy component concentration constraints in crude oil operations, it is necessary to blend different oil types, resulting in a mixed integer nonlinear programming (MINLP) formulation for the scheduling problem of crude oil operations. Because of the intractability of such a nonlinear problem, approximate methods were proposed in the literature. However, by the existing methods, a composition concentration dicrepancy may occur, leading to an infeasible solution;or a feasible solution cannot be found even if such a solution exists for some cases. Based on a priority-slot modeling method, this paper copes with the crude-oil scheduling problem suffering from composition concentration discrepancy. To find a solution without composition concentration discrepancy, a valid inequality is added to the MINLP model. Also, the model size is significantly reduced by properly determining the number of slots. Then, a novel solution method is proposed. By this method, the problem is iteratively solved and, at each iteration step, only a reduced MILP problem is solved. Consequently, a solution can be found such that the composition concentration discrepancy is completely eliminated and it is computationally more efficient than the existing ones. Experiments are done to test the performance of the proposed method. Results show that the proposed method outperforms the existing ones.

关键词： NONlinear programming PETROLEUM DISCREPANCY theorem COMPUTATIONAL chemistry mixed integer linear programming

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