Power generation expansion planning in an autonomous island system using multi-objective programming: the case of Milos Island
This paper presents the application of multiple objective linear programming for power generation expansion planning on Milos island. The model considers those economic and environmental objectives which typically conflict (cost minimization vs. CO 2 emission reduction maximization) subject to a num...
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| Vydané v: | Operational research Ročník 10; číslo 1; s. 109 - 132 |
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| Hlavní autori: | , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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01.05.2010
Springer Nature B.V |
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| ISSN: | 1109-2858, 1866-1505 |
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| Abstract | This paper presents the application of multiple objective linear programming for power generation expansion planning on Milos island. The model considers those economic and environmental objectives which typically conflict (cost minimization vs. CO
2
emission reduction maximization) subject to a number of constraints. Due to uncertainties in future power demand, the latter is handled as a fuzzy parameter. Fuzziness is dealt with by the addition of a third objective function, the maximization of the degree of demand satisfaction. The MOLP model developed is solved in two ways. First, the use of the augmented ε-constraint method which produces the trade offs between cost and CO
2
for different values of the degree of demand satisfaction, and second the reference point framework, a generation and an interactive method, respectively. In the second approach decision makers set their aspiration levels concerning the different criteria, converging after a number of iterations in a compromise solution, whereas in the augmented ε-constraint generation method the decision makers have to choose their preferred solution between all the efficient points depicted in the trade-offs. A comparative analysis of the above methods concludes the paper, highlighting advantages and shortcomings. |
|---|---|
| AbstractList | This paper presents the application of multiple objective linear programming for power generation expansion planning on Milos island. The model considers those economic and environmental objectives which typically conflict (cost minimization vs. CO sub(2) emission reduction maximization) subject to a number of constraints. Due to uncertainties in future power demand, the latter is handled as a fuzzy parameter. Fuzziness is dealt with by the addition of a third objective function, the maximization of the degree of demand satisfaction. The MOLP model developed is solved in two ways. First, the use of the augmented epsilon -constraint method which produces the trade offs between cost and CO sub(2) for different values of the degree of demand satisfaction, and second the reference point framework, a generation and an interactive method, respectively. In the second approach decision makers set their aspiration levels concerning the different criteria, converging after a number of iterations in a compromise solution, whereas in the augmented epsilon -constraint generation method the decision makers have to choose their preferred solution between all the efficient points depicted in the trade-offs. A comparative analysis of the above methods concludes the paper, highlighting advantages and shortcomings. This paper presents the application of multiple objective linear programming for power generation expansion planning on Milos island. The model considers those economic and environmental objectives which typically conflict (cost minimization vs. CO 2 emission reduction maximization) subject to a number of constraints. Due to uncertainties in future power demand, the latter is handled as a fuzzy parameter. Fuzziness is dealt with by the addition of a third objective function, the maximization of the degree of demand satisfaction. The MOLP model developed is solved in two ways. First, the use of the augmented ε-constraint method which produces the trade offs between cost and CO 2 for different values of the degree of demand satisfaction, and second the reference point framework, a generation and an interactive method, respectively. In the second approach decision makers set their aspiration levels concerning the different criteria, converging after a number of iterations in a compromise solution, whereas in the augmented ε-constraint generation method the decision makers have to choose their preferred solution between all the efficient points depicted in the trade-offs. A comparative analysis of the above methods concludes the paper, highlighting advantages and shortcomings. This paper presents the application of multiple objective linear programming for power generation expansion planning on Milos island. The model considers those economic and environmental objectives which typically conflict (cost minimization vs. CO2 emission reduction maximization) subject to a number of constraints. Due to uncertainties in future power demand, the latter is handled as a fuzzy parameter. Fuzziness is dealt with by the addition of a third objective function, the maximization of the degree of demand satisfaction. The MOLP model developed is solved in two ways. First, the use of the augmented [straight epsilon]-constraint method which produces the trade offs between cost and CO2 for different values of the degree of demand satisfaction, and second the reference point framework, a generation and an interactive method, respectively. In the second approach decision makers set their aspiration levels concerning the different criteria, converging after a number of iterations in a compromise solution, whereas in the augmented [straight epsilon]-constraint generation method the decision makers have to choose their preferred solution between all the efficient points depicted in the trade-offs. A comparative analysis of the above methods concludes the paper, highlighting advantages and shortcomings. [PUBLICATION ABSTRACT] |
| Author | Rozakis, S. Kourempele, Maria Mavrotas, G. Geronikolou, L. |
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| Keywords | Fuzzy demand Multi-objective mixed integer linear programming Reference point Augmented ε-constraint method Energy regional planning |
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| References | Mavrotas G (2000) Multiple objective programming under uncertainty. Development of a DSS and implementation to energy planning. PhD thesis, Athens (in Greek) RozakisSSoldatosPKallivroussisLNicolaouIMultiple criteria analysis of bio-energy projects: evaluation of bio-electricity production in Farsala Plain, GreeceJ Geogr Inf Dec Anal2001514964 Mavrotas G (2006) Generation of efficient solutions in multiobjective mathematical programming problems using GAMS. Effective implementation of the ε-constraint method. Technical report available in: http://www.gams.com/modlib/adddocs/epscm.pdf HobbsBFMeierPEnergy Decisions and the Environment: A Guide to the Use of Multicriteria Methods2000DordrechtKluwer Academic Publishers Antunes CH, Martins AG (eds) (2003) OR models for energy policy, planning and management. Ann Oper Res 120(12) BeltonVStewartTJMultiple criteria decision analysis: an integrated approach2002BostonKluwer Academic Publishers ZiontsSDeshpandeDNijkampPSpronkJEnergy planning using a multiple criteria decision methodMultiple criteria analysis: operational methods1981LondonGower Press153162 KavrakogluIEnergy modelsEur J Oper Res19872812113110.1016/0377-2217(87)90211-6 OliveiraCAntunesCHA multiple objective model to deal with economy–energy–environment interactionsEur J Oper Res200315337037510.1016/S0377-2217(03)00159-0 LaiYJHwangCLA new approach to some possibilistic linear programming problemsFuzzy Sets Syst19924912113310.1016/0165-0114(92)90318-X AntunesCHMartinsAGBritoIA multiple objective mixed integer linear programming model for power generation expansion planningEnergy20042961362710.1016/j.energy.2003.10.012 Mavrotas G, Diakoulaki D (2005) A mixed integer multiple objective linear programming model for capacity expansion in an autonomous power generation system. In: Loulou R, Wauub JP, Zaccour G (eds) Energy Environ, Springer, pp 191–210 TeghemJKunschPApplication of multiobjective stochastic linear programming to power systems planningEng Costs Prod Econ19859838910.1016/0167-188X(85)90013-8 Stoll HG (1989) Least-cost electricity utility planning. Wiley, New York ChattopadhyayDCost versus emissions minimization in thermal electricity generation: a case of SO2 emissions reduction from the Indian power systemInt J Energy Res19951972172710.1002/er.4440190809 DiakoulakiDAntunesCHMartinsAGFigueiraJGrecoSEhrgottMMCDA and energy planningMultiple criteria decision analysis: state of the art surveys2005BerlinSpringer859898 CormioCDicoratoMMinoiaATrovatoMA regional energy planning methodology including renewable energy sources and environmental constraintsRenewable Sustainable Energy Rev200379913010.1016/S1364-0321(03)00004-2 MartinsAGCoelhoDAntunesCHClímacoJA multiple objective linear programming approach to power generation planning with demand—side managementInt Trans Oper Res1996330531710.1111/j.1475-3995.1996.tb00055.x MavrotasGDiakoulakiDPapayannakisLAn energy planning approach based on mixed 0–1 MOLPInt Trans Oper Res1999623124410.1111/j.1475-3995.1999.tb00153.x CohonJMultiobjective programming and planning1978New YorkAcademic Press LinaresPRomeroCAggregation of preferences in an environmental economics context: a goal-programming approachOmega200230899510.1016/S0305-0483(01)00059-7 WierzbickiAPA mathematical basis for satisfying decision makingMath Modell1982339140510.1016/0270-0255(82)90038-0 HwangCLMasudAMultiple objective decision making. Methods and Applications: A state of the art survey. Lecture Notes in Economics and Mathematical Systems1979BerlinSpringer-Verlag KavrakogluIModels for national energy policyAutomatica19801637939210.1016/0005-1098(80)90022-9 SchulzVStehfestHRegional energy supply optimization with multiple objectivesEur J Oper Res19841730231210.1016/0377-2217(84)90124-3 LinaresPRomeroCA multiple criteria decision making approach for electricity planning in Spain: economic versus environmental objectivesJ Oper Res Soc200051736743 SteuerREMultiple criteria optimization. Theory, computation and application19892MalabarKrieger VanderpootenDVinckePDescription and analysis of some representative interactive multicriteria proceduresMath Comput Modell19891210/111221123810.1016/0895-7177(89)90364-6 QuaddusMGohTElectric power generation expansion planning with multiple objectivesAppl Energy19851930131910.1016/0306-2619(85)90004-2 RommelfangerHFuzzy linear programming and applicationsEur J Oper Res19969251252710.1016/0377-2217(95)00008-9 Cheol-JooCThe economic–energy–environmental policy problem: an application of the interactive multiobjective decision method for Chungbuk ProvinceJ Environ Manage19995611913110.1006/jema.1999.0264 ClímacoJAntunesCHMartinsAGAlmeidaATA multiple objective linear programming model for power generation expansion planningInt J Energy Res19951941943210.1002/er.4440190507 KavrakogluIKiziltanGMultiobjective strategies in power systems planningEur J Oper Res19831215917010.1016/0377-2217(83)90219-9 MavrotasGDiakoulakiDFloriosKGeorgiouPA mathematical programming framework for energy planning in services’ sector buildings under uncertainty in load demand: the case of a hospital in AthensEnergy Policy2008362415242910.1016/j.enpol.2008.01.011 63_CR1 J Clímaco (63_CR6) 1995; 19 RE Steuer (63_CR28) 1989 CL Hwang (63_CR11) 1979 H Rommelfanger (63_CR25) 1996; 92 63_CR29 C Cheol-Joo (63_CR5) 1999; 56 D Diakoulaki (63_CR9) 2005 S Zionts (63_CR33) 1981 G Mavrotas (63_CR21) 1999; 6 S Rozakis (63_CR26) 2001; 5 M Quaddus (63_CR24) 1985; 19 C Oliveira (63_CR23) 2003; 153 J Cohon (63_CR7) 1978 V Schulz (63_CR27) 1984; 17 C Cormio (63_CR8) 2003; 7 63_CR20 63_CR34 AP Wierzbicki (63_CR32) 1982; 3 YJ Lai (63_CR15) 1992; 49 P Linares (63_CR16) 2000; 51 D Vanderpooten (63_CR31) 1989; 12 V Belton (63_CR3) 2002 P Linares (63_CR17) 2002; 30 63_CR19 CH Antunes (63_CR2) 2004; 29 I Kavrakoglu (63_CR13) 1987; 28 BF Hobbs (63_CR10) 2000 I Kavrakoglu (63_CR14) 1983; 12 I Kavrakoglu (63_CR12) 1980; 16 G Mavrotas (63_CR22) 2008; 36 D Chattopadhyay (63_CR4) 1995; 19 AG Martins (63_CR18) 1996; 3 J Teghem (63_CR30) 1985; 9 |
| References_xml | – reference: Cheol-JooCThe economic–energy–environmental policy problem: an application of the interactive multiobjective decision method for Chungbuk ProvinceJ Environ Manage19995611913110.1006/jema.1999.0264 – reference: MartinsAGCoelhoDAntunesCHClímacoJA multiple objective linear programming approach to power generation planning with demand—side managementInt Trans Oper Res1996330531710.1111/j.1475-3995.1996.tb00055.x – reference: LaiYJHwangCLA new approach to some possibilistic linear programming problemsFuzzy Sets Syst19924912113310.1016/0165-0114(92)90318-X – reference: LinaresPRomeroCAggregation of preferences in an environmental economics context: a goal-programming approachOmega200230899510.1016/S0305-0483(01)00059-7 – reference: CormioCDicoratoMMinoiaATrovatoMA regional energy planning methodology including renewable energy sources and environmental constraintsRenewable Sustainable Energy Rev200379913010.1016/S1364-0321(03)00004-2 – reference: SteuerREMultiple criteria optimization. Theory, computation and application19892MalabarKrieger – reference: ChattopadhyayDCost versus emissions minimization in thermal electricity generation: a case of SO2 emissions reduction from the Indian power systemInt J Energy Res19951972172710.1002/er.4440190809 – reference: KavrakogluIModels for national energy policyAutomatica19801637939210.1016/0005-1098(80)90022-9 – reference: RommelfangerHFuzzy linear programming and applicationsEur J Oper Res19969251252710.1016/0377-2217(95)00008-9 – reference: ZiontsSDeshpandeDNijkampPSpronkJEnergy planning using a multiple criteria decision methodMultiple criteria analysis: operational methods1981LondonGower Press153162 – reference: SchulzVStehfestHRegional energy supply optimization with multiple objectivesEur J Oper Res19841730231210.1016/0377-2217(84)90124-3 – reference: KavrakogluIEnergy modelsEur J Oper Res19872812113110.1016/0377-2217(87)90211-6 – reference: MavrotasGDiakoulakiDFloriosKGeorgiouPA mathematical programming framework for energy planning in services’ sector buildings under uncertainty in load demand: the case of a hospital in AthensEnergy Policy2008362415242910.1016/j.enpol.2008.01.011 – reference: WierzbickiAPA mathematical basis for satisfying decision makingMath Modell1982339140510.1016/0270-0255(82)90038-0 – reference: HobbsBFMeierPEnergy Decisions and the Environment: A Guide to the Use of Multicriteria Methods2000DordrechtKluwer Academic Publishers – reference: MavrotasGDiakoulakiDPapayannakisLAn energy planning approach based on mixed 0–1 MOLPInt Trans Oper Res1999623124410.1111/j.1475-3995.1999.tb00153.x – reference: Antunes CH, Martins AG (eds) (2003) OR models for energy policy, planning and management. Ann Oper Res 120(12) – reference: HwangCLMasudAMultiple objective decision making. Methods and Applications: A state of the art survey. Lecture Notes in Economics and Mathematical Systems1979BerlinSpringer-Verlag – reference: OliveiraCAntunesCHA multiple objective model to deal with economy–energy–environment interactionsEur J Oper Res200315337037510.1016/S0377-2217(03)00159-0 – reference: RozakisSSoldatosPKallivroussisLNicolaouIMultiple criteria analysis of bio-energy projects: evaluation of bio-electricity production in Farsala Plain, GreeceJ Geogr Inf Dec Anal2001514964 – reference: BeltonVStewartTJMultiple criteria decision analysis: an integrated approach2002BostonKluwer Academic Publishers – reference: Mavrotas G, Diakoulaki D (2005) A mixed integer multiple objective linear programming model for capacity expansion in an autonomous power generation system. In: Loulou R, Wauub JP, Zaccour G (eds) Energy Environ, Springer, pp 191–210 – reference: Mavrotas G (2006) Generation of efficient solutions in multiobjective mathematical programming problems using GAMS. Effective implementation of the ε-constraint method. 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| SubjectTerms | Business and Management Carbon dioxide Computational Intelligence Decision making Demand Electric power Electricity distribution Energy consumption Energy economics Fuzzy logic Fuzzy sets Islands Linear programming Load Management Science Marketing Mathematical models Mathematical programming Maximization Methods Operations Research Operations Research/Decision Theory Original Paper Pollutants Power generation Power supply Studies Sustainability Sustainable development Turbines Variables |
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| Title | Power generation expansion planning in an autonomous island system using multi-objective programming: the case of Milos Island |
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