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Multi-objective multi-mode resource constrained project scheduling problem using Pareto-based algorithms

COMPUTING 2019年第6期101卷 547-570页

作者： Tirkolaee, Erfan Babaee Goli, Alireza Hematian, Milad Sangaiah, Arun Kumar Han, Tao Mazandaran Univ Sci & Technol Dept Ind Engn Babol Sar Iran Islamic Azad Univ Ayatollah Amoli Branch Young Researchers & Elite Club Amol Iran Yazd Univ Dept Ind Engn Yazd Iran Vellore Inst Technol Sch Comp Sci & Engn Vellore 632014 Tamil Nadu India Dongguan Univ Technol DGUT CNAM Inst Dongguan Guangdong Peoples R China

This study addresses the multi-objective multi-mode resource-constrained project scheduling problem with payment planning where the activities can be done through one of the possible modes and the objectives are to maximize the net present value and minimize the completion time concurrently. Moreover, renewable resources including manpower, machinery, and equipment as well as non-renewable ones such as consumable resources and budget are considered to make the model closer to the real-world. To this end, a non-linear programming model is proposed to formulate the problem based on the suggested assumptions. To validate the model, several random instances are designed and solved by GAMS-BARON solver applying the epsilon-constraint method. For the high NP-hardness of the problem, we develop two metaheuristics of non-dominated sorting genetic algorithm II and multi-objective simulated annealing algorithm to solve the problem. Finally, the performances of the proposed solution techniques are evaluated using some well-known efficient criteria.

关键词： Multi-mode resource-constrained project scheduling problem NPV Payment planning epsilon-constraint method NSGA-II MOSA

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Bi-Objective Vehicle Routing for Hazardous Materials Transportation With Actual Load Dependent Risks and Considering the Risk of Each Vehicle

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IEEE TRANSACTIONS ON ENGINEERING MANAGEMENT 2019年第3期66卷 429-442页

作者： Zhang, Meng Wang, Nengmin He, Zhengwen Yang, Zhen Guan, Yongpei Xi An Jiao Tong Univ Minist Educ Proc Control & Efficiency Engn Sch Management Xian 710049 Shaanxi Peoples R China Xi An Jiao Tong Univ Minist Educ Proc Control & Efficiency Engn Key Lab Xian 710049 Shaanxi Peoples R China Engn Res Ctr Proc Min Mfg Serv Shaanxi Prov Xian 710049 Shaanxi Peoples R China Univ Florida Dept Ind & Syst Engn Gainesville FL 32611 USA

As a consequence of industrial development, large quantities of hazardous materials are shipped everyday. Most related studies consider the risks as fixed weights on edges. However, the loads of the vehicles are important factors about the risks. Thus, considering the risks as fixed parameters cannot reflect actual practice. In addition, the vehicle routing models in previous studies simultaneously minimize the total transportation cost and the total risk. However, simply considering the total risk of a fleet as a whole cannot evaluate each vehicle's risk. Although the total risk is low, the risk of a specific vehicle may still be very high. In this paper, the actual load dependent risk is introduced, and a corresponding bi-objective vehicle routing model for hazardous materials transportation is developed, minimizing the maximum risk of vehicles and the total transportation cost simultaneously. An exact algorithm is developed based on the epsilon-constraint method with several improvements. For large-scale problems, an approximation approach is proposed. Computational experiments on a series of instances are reported and several managerial insights are derived from the sensitivity analysis.

关键词： Actual load dependent risk bi-objective optimization epsilon-constraint method hazardous materials transportation vehicle routing problem (VRP)

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Bi-objective cyclic scheduling for single hoist with processing-time-window constraints considering buffer-setting

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PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING 2019年第2期233卷 192-203页

作者： Gao, Zhongshun Zhou, Binghai Tongji Univ Sch Mech Engn Shanghai 201804 Peoples R China

To solve the scheduling problem of a single hoist with processing-time-window constraints considering buffer-setting, we consider bi-objective scheduling which makes trade-offs between the cycle time and the hoist travel distance. First, a bi-objective mixed-integer programming model is constructed for the basic line without considering buffer-setting. In order to improve the throughput of the basic line, a transform method with buffer-setting is put forward. Based on the basic line model, a subsection searching epsilon-constraint method which combines the transform method is introduced to solve the bi-objective mixed-integer programming model. Experimental results both on benchmark instances and on randomly generated instances indicate that the proposed approach is efficient and buffers can improve the throughputs.

关键词： Bi-objective buffer-setting epsilon-constraint method hoist-scheduling problem mixed-integer programming

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Two efficient algorithms for constructing almost even approximations of the Pareto front in multi-objective optimization problems

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ENGINEERING OPTIMIZATION 2019年第4期51卷 567-589页

作者： Dolatnezhadsomarin, Azam Khorram, Esmaile Amirkabir Univ Technol Dept Math & Comp Sci Tehran Iran

In this article, two algorithms are proposed for constructing almost even approximations of the Pareto front of multi-objective optimization problems. The first algorithm is a hybrid of the epsilon-constraint and Pascoletti-Serafini scalarization methods for solving bi-objective problems. The second is a modification of the successive Pareto optimization (SPO) algorithm for solving three-objective problems. In these algorithms, the MATLAB fmincon solver is used to solve single-objective optimization problems, which returns a local optimal solution. Some metrics are considered to evaluate the quality of approximations obtained by the suggested algorithms on six test problems, and their results are compared with other algorithms (normal constraint, weighted constraint, SPO, differential evolution, multi-objective evolutionary algorithm/decomposition-differential evolution, non-dominated sorting genetic algorithm-II and S-metric selection evolutionary multi-objective algorithm). Experimental results show that the proposed algorithms provide almost even approximations of the whole Pareto front, and better quality of approximation and CPU time compared with established algorithms.

关键词： Multi-objective optimization problem Pareto-optimal solution Pascoletti-Serafini scalarization approach epsilon-constraint method

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Multi-objective, multi-year dynamic generation and transmission expansion planning- renewable energy sources integration for Iran's National Power Grid

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INTERNATIONAL TRANSACTIONS ON ELECTRICAL ENERGY SYSTEMS 2019年第4期29卷 e2810.1-e2810.21页

作者： Javadi, Mohammad Sadegh Nezhad, Ali Esmaeel Islamic Azad Univ Shiraz Branch Young Researchers & Elite Club Shiraz Iran Univ Bologna Dept Elect Elect & Informat Engn Bologna Italy

The paper presents a multi-year, multi-objective framework for integrating Renewable Energy Sources (RESs) into the high voltage transmission network of Iran's National Power Grid (INPG). The objective functions in this study are the total cost, including the investment cost and operating cost for the planning horizon, and the system reliability. The first objective function is stated from the economic point of view, while the second objective function is considered as a security index in the expansion planning issue. The main purpose of this paper is to increase the RES penetration into the generation mix of INPG. Since the mentioned 230 to 400-kV INPG is a large-scale power system, the problem formulation is investigated in a mixed-integer programming, and then, the developed multi-objective problem has been solved using the augmented epsilon-constraint optimization method. In order to select the executive plan for installation, the fuzzy satisfying decision-making procedure is adopted in this study.

关键词： epsilon-constraint method fuzzy satisfying decision making Iran National Power Grid multi-objective optimization multi-year planning renewable energy integration

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Finding Efficient Solutions for Multicriteria Optimization Problems with SOS-convex Polynomials

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TAIWANESE JOURNAL OF MATHEMATICS 2019年第6期23卷 1535-1550页

作者： Lee, Jae Hyoung Jiao, Liguo Pukyong Natl Univ Dept Appl Math Busan 48513 South Korea Pusan Natl Univ Finance Fishery Manufacture Ind Math Ctr Big Data Busan 46241 South Korea

In this paper, we focus on the study of finding efficient solutions for a multicriteria optimization problem (MP), where both the objective and constraint functions are SOS-convex polynomials. By using the well-known epsilon-constraint method (a scalarization technique), we substitute the problem (MP) to a class of scalar ones. Then, a zero duality gap result for each scalar problem, its sum of squares polynomial relaxation dual problem, the semidefinite representation of this dual problem, and the dual problem of the semidefinite programming problem, is established, under a suitable regularity condition. Moreover, we prove that an optimal solution of each scalar problem can be found by solving its associated semidefinite programming problem. As a consequence, we show that finding efficient solutions for the problem (MP) is tractable by employing the epsilon-constraint method. A numerical example is also given to illustrate our results.

关键词： epsilon-constraint method multicriteria optimization semidefinite programming SOS-convex polynomials

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Comparison of Some Scalarization methods in Multiobjective Optimization: Comparison of Scalarization methods

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BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY 2019年第5期42卷 1875-1905页

作者： Kasimbeyli, Refail Ozturk, Zehra Kamisli Kasimbeyli, Nergiz Yalcin, Gulcin Dinc Erdem, Banu Icmen Anadolu Univ Fac Engn Dept Ind Engn Iki Eylul Campus TR-26555 Eskisehir Turkey

The paper presents an analysis, characterizations and comparison of six commonly used scalarization methods in multiobjective optimization. The properties of these methods are investigated with respect to the basic characteristics such as ordering cone, convexity and boundedness, the ability of generating proper efficient solutions, the ability to consider reference points which is a choice of decision maker as a solution and weighting preferences of decision maker, the number of additional constraints and decision variables. The paper also presents new characteristics for these methods and relations between them. The main characteristics of these scalarization methods are illustrated on the same example.

关键词： Conic scalarization method Weighted sum method epsilon-constraint method Benson's method Weighted Chebyshev method Pascoletti-Serafini method Multiobjective optimization Proper efficiency

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Day-ahead scheduling problem of smart micro-grid with high penetration of wind energy and demand side management strategies

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SUSTAINABLE ENERGY TECHNOLOGIES AND ASSESSMENTS 2020年 40卷

作者： Chamandoust, Heydar Bahramara, Salah Derakhshan, Ghasem Islamic Azad Univ Damavand Branch Dept Elect Engn Tehran Iran Islamic Azad Univ Sanandaj Branch Dept Elect Engn Tehran Iran

In this paper, the day-ahead scheduling problem of a smart microgrid (SMG) is modeled as a multi-objective function consisting of: i) minimizing the operation cost and the emission pollution in generation side ii) minimizing the load curtailment cost with the strategic conversion of curtailable loads (CLs) and iii) coordinating of shiftable loads (SLs) and the output power of wind turbines (WTs). The second and the third objectives present a new approach of Demand Side Management (DSM) strategies to improve the customer's satisfaction (CS) and the WT penetration (WTP) using stimulation of customers to use their loads regarding the demand profile of the system. Also, the output power of WTs is considered as the stochastic model, and the participation of the SLs based on the availability of WTs output power are scheduled. To confirm the proposed approach, all objective functions are optimized by the epsilon-constraint approach in the GAMS optimization software and the best solution of the non-dominated Pareto solutions is selected using the decision-making method. To investigate the effectiveness of the proposed model, it is applied on a 24-node microgrid through four case studies.

关键词： Demand Side Management (DSM) WT penetration Optimal coordination epsilon-constraint method Decision-making method

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Developing a hazardous waste management system with consideration of health, safety, and environment

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COMPUTERS & ELECTRICAL ENGINEERING 2020年第0期82卷 106553-000页

作者： Farrokhi-Asl, Hamed Makui, Ahmad Ghousi, Rouzbeh Rabbani, Masoud Iran Univ Sci & Technol Sch Ind Engn Tehran Iran Univ Tehran Sch Ind Engn Coll Engn Tehran Iran

This paper presents a novel mathematical model for hazardous waste collection problem. The study aims to introduce a model in order to improve health, safety, environment (HSE) issues for hazardous waste collection problem in addition to considering operational cost. In addition, technologies which will be applied at each facility are investigated. To extend previous networks in this field of study, the vehicles' depot are considered,. In order to tackle the problem, epsilon-constraint and non-dominated sorting genetic algorithm II (NSGA-II) methods are applied. According to the results, we can state that NSGA-II mean value of comparison metrics are equivalent to the results of e-constraint with confidence level of 95%. Moreover, the sum of the distance's mean from the ideal point for e-constraint method is 4% less than NSGA-II which can be concluded as an acceptable result for NSGA-II algorithm. All in all, The presented model can help managers and decision makers to have a more comprehensive and thorough understanding the HSE issues with respect to the operational cost in the field of waste collection network design. (C) 2020 Elsevier Ltd. All rights reserved.

关键词： Waste collection problem HSE Multi objective optimization epsilon-constraint method Metaheuristic algorithms

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Designing an optimized configuration for a hybrid PV/Diesel/Battery Energy System based on metaheuristics: A case study on Gobi Desert

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JOURNAL OF CLEANER PRODUCTION 2020年 270卷 122467-122467页

作者： Ashraf, Muhammad Aqeel Liu, Zhenling Alizadeh, As'ad Nojavan, Sayyad Jermsittiparsert, Kittisak Zhang, Dangquan Henan Agr Univ Sch Forestry Zhengzhou 450002 Peoples R China Henan Univ Technol Sch Management Zhengzhou 450001 Peoples R China Univ Zakho Coll Engn Dept Mech Engn Zakho Iraq Urmia Univ Technol Dept Mech Engn Orumiyeh Iran Univ Bonab Dept Elect Engn Bonab Iran Chulalongkorn Univ Social Res Inst Bangkok 10330 Thailand

Among different renewable energies, the sun as an endless source of energy has been the focus of many researchers worldwide. The use of solar radiation energy in conventional power generation systems can play an important role in reducing fuel consumption and environmental pollution. The importance of this energy has been increased when we need to supply the load demand, especially in desert-like places. The main objective of this research is to propose a new optimal hybrid solar/diesel/battery system to cover the demand load of a rural part in the Gobi Desert in China. The main objectives for optimization are the loss of load probability, CO2 emissions value, and the annualized cost of the system. Here, the 8-constraint method is adopted to simplify the multi-objective problem into a single objective problem. The optimization of the problem is performed by a developed version of the elephant herd optimization algorithm and the system sensitivity analysis has been analyzed on the parameters. Simulation results show that the proposed method can provide a reliable supplement for the load demand such that the PV penetration has a prominent impact by 97.9% of the costs. The results also present that the emitted CO2 gas by the proposed cEHO algorithm by 1735 kg/year is the minimum value compared with the PSO-based optimal system and HOMER software results. The initial capital cost of the system is also achieved 48,680 $ that specifies less value than the net present cost. (C) 2020 Elsevier Ltd. All rights reserved.

关键词： Gobi desert Hybrid renewable energy system Sensitivity analysis Multi-objective optimization epsilon-constraint method Elephant herd optimization algorithm

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