메뉴 건너뛰기




Volumn 25, Issue 4, 2010, Pages 625-644

A mixed integer approach for time-dependent gas network optimization

Author keywords

Branch and cut; Mixed integer programming; Piece wise linear approximation; SOS condition; Transient gas optimization

Indexed keywords

BRANCH-AND-CUT; GAS OPTIMIZATION; MIXED INTEGER PROGRAMMING; PIECE-WISE LINEAR APPROXIMATION; PIECEWISE LINEAR APPROXIMATIONS;

EID: 77951172642     PISSN: 10556788     EISSN: 10294937     Source Type: Journal    
DOI: 10.1080/10556780903270886     Document Type: Article
Times cited : (46)

References (61)
  • 2
    • 0034244118 scopus 로고    scopus 로고
    • Optimal response of a thermal unit to an electricity spot market
    • J. Arroyo and A. Conejo, Optimal response of a thermal unit to an electricity spot market, IEEE Trans. Power Systems 15 (2000), pp. 1098-1104.
    • (2000) IEEE Trans. Power Systems , vol.15 , pp. 1098-1104
    • Arroyo, J.1    Conejo, A.2
  • 3
    • 77957091210 scopus 로고
    • Branch and bound methods for mathematical programming systems
    • E. Beale, Branch and bound methods for mathematical programming systems, Ann. Discrete Math. 5 (1979), pp. 201-219.
    • (1979) Ann. Discrete Math. , vol.5 , pp. 201-219
    • Beale, E.1
  • 4
    • 0016917826 scopus 로고
    • Global optimization using special ordered sets
    • E. Beale and J. Forrest, Global optimization using special ordered sets, Math. Programm. 10 (1976), pp. 52-69.
    • (1976) Math. Programm. , vol.10 , pp. 52-69
    • Beale, E.1    Forrest, J.2
  • 5
    • 0014924953 scopus 로고
    • Special facilities in a general mathematical programming system for non-convex problems using ordered sets of variables
    • J. Lawrence, ed., Tavistock Publications, London
    • E.M.L. Beale and J.A.Tomlin, Special facilities in a general mathematical programming system for non-convex problems using ordered sets of variables, in Proceedings of the Fifth International Conference on Operations Research, J. Lawrence, ed., Tavistock Publications, London, 1970, pp. 447-454.
    • (1970) Proceedings of the Fifth International Conference on Operations Research , pp. 447-454
    • Beale, E.M.L.1    Tomlin, J.A.2
  • 6
    • 0022758683 scopus 로고
    • Generalized simulated annealing for function optimization
    • I. Bohachevsky,M. Johnson, andM. Stein, Generalized simulated annealing for function optimization,Technometrics 28 (1986), pp. 209-217. (Pubitemid 17494386)
    • (1986) Technometrics , vol.28 , Issue.3 , pp. 209-217
    • Bohachevsky Ihor, O.1    Johnson Mark, E.2    Stein Myron, L.3
  • 7
    • 26944486202 scopus 로고    scopus 로고
    • A hybrid meta-heuristic approach for natural gas pipeline network optimization
    • M.J. Blesa, C. Blum, A. Roli, and M. Sampel, eds., HM, Barcelona, Spain, August 29-30, Springer, 2005
    • C. Borraz-Sánchez and R.Z. Ríos-Mercado, A hybrid meta-heuristic approach for natural gas pipeline network optimization, in Hybrid Metaheuristics: Second InternationalWorkshop, M.J. Blesa, C. Blum, A. Roli, and M. Sampel, eds., HM 2005, Barcelona, Spain, August 29-30, Springer, 2005, pp. 54-65.
    • (2005) Hybrid Metaheuristics: Second International Workshop , pp. 54-65
    • Borraz-Sánchez, C.1    Ríos-Mercado, R.Z.2
  • 9
    • 0021819411 scopus 로고
    • Thermodynamical approach to the traveling salesman problem:An efficient simulation algorithm
    • V.Černý, Thermodynamical approach to the traveling salesman problem:An efficient simulation algorithm, J.Optim. Theory Appl. 45 (1985), pp. 41-51.
    • (1985) J. Optim. Theory Appl. , vol.45 , pp. 41-51
    • Černý, V.1
  • 10
    • 0023416976 scopus 로고
    • MINIMIZING MULTIMODAL FUNCTIONS OF CONTINUOUS VARIABLES WITH THE 'SIMULATED ANNEALING' ALGORITHM.
    • DOI 10.1145/29380.29864
    • A. Corana, M. Marchesi, C. Martini, and S. Ridella, Minimizing multimodal functions of continuous variables with the simulated annealing algorithm, ACM Trans. Math. Software 13 (1987), pp. 262-280. (Pubitemid 18519916)
    • (1987) ACM Transactions on Mathematical Software , vol.13 , Issue.3 , pp. 262-280
    • Corana, A.1    Marchesi, M.2    Martini, C.3    Ridella, S.4
  • 13
    • 50649111617 scopus 로고    scopus 로고
    • Nonlinear optimization in gas networks
    • Konrad-Zuse-Zentrum für Informationstechnik, Berlin
    • K. Ehrhardt and M. Steinbach, Nonlinear optimization in gas networks, Tech. Rep. ZR 03-46, Konrad-Zuse-Zentrum für Informationstechnik, Berlin, 2003.
    • (2003) Tech. Rep. ZR 03-46
    • Ehrhardt, K.1    Steinbach, M.2
  • 14
    • 29044435243 scopus 로고    scopus 로고
    • Nonlinear optimization in gas networks
    • H.G. Bock, E. Kostina, H.X. Phu, and R. Ranacher, eds., Berlin - Heidelberg - New York, Springer
    • K. Ehrhardt and M. Steinbach, Nonlinear optimization in gas networks, in Modeling, Simulation and Optimization of Complex Processes, H.G. Bock, E. Kostina, H.X. Phu, and R. Ranacher, eds., Berlin - Heidelberg - New York, Springer, 2005, pp. 139-148.
    • (2005) Modeling, Simulation and Optimization of Complex Processes , pp. 139-148
    • Ehrhardt, K.1    Steinbach, M.2
  • 15
    • 23044515730 scopus 로고    scopus 로고
    • KARDOS user's guide
    • Konrad-Zuse-Zentrum für Informationstechnik, Berlin
    • B. Erdmann, J. Lang, and R. Roitzsch, KARDOS user's guide, Tech. Rep. ZR 02-42, Konrad-Zuse-Zentrum für Informationstechnik, Berlin, 2002.
    • (2002) Tech. Rep. ZR 02-42
    • Erdmann, B.1    Lang, J.2    Roitzsch, R.3
  • 17
    • 0041727352 scopus 로고    scopus 로고
    • Unit commitment in power generation - A basic model and some extensions
    • R. Gollmer, M. Nowak, W. Römisch, and R. Schultz, Unit commitment in power generation - a basic model and some extensions, Ann. Oper. Res. 96 (2000), pp. 167-189.
    • (2000) Ann. Oper. Res. , vol.96 , pp. 167-189
    • Gollmer, R.1    Nowak, M.2    Römisch, W.3    Schultz, R.4
  • 20
    • 77951191494 scopus 로고    scopus 로고
    • Optimal operation of dispersed generation under uncertainty using mathematical programming
    • Universität Dortmund, Universität Duisburg-Essen
    • E. Handschin, F. Neise, H. Neumann, and R. Schultz, Optimal operation of dispersed generation under uncertainty using mathematical programming, Tech. Rep., Universität Dortmund, Universität Duisburg-Essen, 2004.
    • (2004) Tech. Rep.
    • Handschin, E.1    Neise, F.2    Neumann, H.3    Schultz, R.4
  • 22
    • 0003697647 scopus 로고    scopus 로고
    • ILOG CPLEX Division 889 AlderAvenue, Suite 200, InclineVillage, NV 89451, USA, Available at
    • ILOG CPLEX Division, 889 AlderAvenue, Suite 200, InclineVillage, NV 89451, USA, Using the CPLEX Callable Library, 2002. Available at http://www.cplex.com.
    • (2002) Using the CPLEX Callable Library
  • 25
    • 0142029542 scopus 로고    scopus 로고
    • Models for representing piecewise linear cost functions
    • A. Keha, I. de Farias Jr., and G. Nemhauser, Models for representing piecewise linear cost functions, Oper. Res. Lett. 32 (2004), pp. 44-48.
    • (2004) Oper. Res. Lett. , vol.32 , pp. 44-48
    • Keha, A.1    De Farias Jr., I.2    Nemhauser, G.3
  • 26
    • 33749636873 scopus 로고    scopus 로고
    • A branch-and-cut algorithm without binary variables for nonconvex piecewise linear optimization
    • DOI 10.1287/opre.1060.0277
    • A. Keha, I. de Farias Jr., and G.L. Nemhauser, A branch-and-cut algorithm without binary variables for nonconvex piecewise linear optimization, Oper. Res. 54 (2006), pp. 847-858. (Pubitemid 44546525)
    • (2006) Operations Research , vol.54 , Issue.5 , pp. 847-858
    • Keha, A.B.1    De Farias Jr., I.R.2    Nemhauser, G.L.3
  • 27
    • 77951167246 scopus 로고    scopus 로고
    • A practical approach to transient optimization for gas networks
    • Ruhrgas AG, PSI AG
    • C. Kelling, K. Reith, and E. Sekirnjak, A practical approach to transient optimization for gas networks, Tech. Rep., Ruhrgas AG, PSI AG, 2000.
    • (2000) Tech. Rep.
    • Kelling, C.1    Reith, K.2    Sekirnjak, E.3
  • 28
  • 31
    • 0142011931 scopus 로고    scopus 로고
    • Polyhedral methods for piecewise-linear functions I: The lambda method Discrete
    • J. Lee and D.Wilson, Polyhedral methods for piecewise-linear functions I: The lambda method, Discrete App. Math. 108 (2001), pp. 269-285.
    • (2001) App. Math. , vol.108 , pp. 269-285
    • Lee, J.1    Wilson, D.2
  • 33
    • 34547378537 scopus 로고    scopus 로고
    • A simulated annealing algorithm for transient optimization in gas networks
    • D. Mahlke, A. Martin, and S. Moritz, A simulated annealing algorithm for transient optimization in gas networks, Math. Methods Oper. Res. 66 (2007), pp. 99-116.
    • (2007) Math. Methods Oper. Res. , vol.66 , pp. 99-116
    • Mahlke, D.1    Martin, A.2    Moritz, S.3
  • 35
    • 0007797750 scopus 로고
    • On the solution of discrete programming problems
    • H. Markowitz and A. Manne, On the solution of discrete programming problems, Econometrica 25 (1957), pp. 84-110.
    • (1957) Econometrica , vol.25 , pp. 84-110
    • Markowitz, H.1    Manne, A.2
  • 36
    • 28044441281 scopus 로고    scopus 로고
    • General mixed integer programming: Computational issues for branch-and-cut algorithms
    • D. Naddef and M. Jünger, eds., Springer, Berlin
    • A. Martin, General mixed integer programming: Computational issues for branch-and-cut algorithms, in Computational Combinatorial Optimization, D. Naddef and M. Jünger, eds., Springer, Berlin, 2001.
    • (2001) Computational Combinatorial Optimization
    • Martin, A.1
  • 37
    • 29044440180 scopus 로고    scopus 로고
    • Mixed integer models for the stationary case of gas network optimization
    • A. Martin, M. Möller, and S. Moritz, Mixed integer models for the stationary case of gas network optimization, Math. Programm. 105 (2006), pp. 563-582.
    • (2006) Math. Programm. , vol.105 , pp. 563-582
    • Martin, A.1    Möller, M.2    Moritz, S.3
  • 43
    • 34547319225 scopus 로고    scopus 로고
    • A linear model for transient gas flow
    • SINTEF Industrial Management, Norway
    • M. Nowak and M.Westphalen, A linear model for transient gas flow, Tech. Rep. STF38 S03601, SINTEF Industrial Management, Norway, 2003.
    • (2003) Tech. Rep. STF38 S03601
    • Nowak, M.1    Westphalen, M.2
  • 44
    • 70349092616 scopus 로고    scopus 로고
    • Stochastic programming for power production and trading under uncertainty
    • Gerhard-Mercator-Universität Duisburg, schriftenreihe des Fachbereichs Mathematik
    • M. Nowak, R. Nürnberg,W. Römisch, R. Schultz, and M.Westphalen, Stochastic programming for power production and trading under uncertainty, Tech. Rep. SM-DU-471 Gerhard-Mercator-Universität Duisburg, schriftenreihe des Fachbereichs Mathematik, 2000.
    • (2000) Tech. Rep. SM-DU-471
    • Nowak, M.1    Nürnberg, R.2    Römisch, W.3    Schultz, R.4    Westphalen, M.5
  • 45
    • 0034238783 scopus 로고    scopus 로고
    • Approximating separable nonlinear functions via mixed zero-one programs
    • M. Padberg, Approximating separable nonlinear functions via mixed zero-one programs, Oper. Res. Lett. 27 (2000), pp. 1-5.
    • (2000) Oper. Res. Lett. , vol.27 , pp. 1-5
    • Padberg, M.1
  • 46
    • 0021507735 scopus 로고
    • Optimization of operation of gas transmission systems
    • K. Pratt and J.Wilson, Optimization of operation of gas transmission systems, Trans. Inst. Meas. Control 6 (1984), pp. 261-269.
    • (1984) Trans. Inst. Meas. Control 6 , pp. 261-269
    • Pratt, K.1    Wilson, J.2
  • 48
    • 77951199831 scopus 로고    scopus 로고
    • Available at
    • E.ON Ruhrgas AG, Available at http://www.eon-ruhrgas.com.
  • 51
    • 0347739119 scopus 로고    scopus 로고
    • The gas transmission problem solved by an extension of the simplex algorithm
    • Y. Smeers and D.D.Wolf, The gas transmission problem solved by an extension of the simplex algorithm, Manage. Sci. 46 (2000), pp. 1454-1465.
    • (2000) Manage. Sci. , vol.46 , pp. 1454-1465
    • Smeers, Y.1    Wolf, D.D.2
  • 52
    • 0034155505 scopus 로고    scopus 로고
    • Incorporating fuel constraints and electricity spot prices into the stochastic unit commitment problem
    • S. Takriti, B. Krasenbrink, and L.Y.Wu, Incorporating fuel constraints and electricity spot prices into the stochastic unit commitment problem, Oper. Res. 48 (2000), pp. 268-280.
    • (2000) Oper. Res. , vol.48 , pp. 268-280
    • Takriti, S.1    Krasenbrink, B.2    Wu, L.Y.3
  • 53
    • 29044436029 scopus 로고
    • A suggested extension of special ordered sets to non-separable non-convex programming problems
    • J. Tomlin, A suggested extension of special ordered sets to non-separable non-convex programming problems, Ann. Discrete Math. 11 (1981), pp. 359-370.
    • (1981) Ann. Discrete Math. , vol.11 , pp. 359-370
    • Tomlin, J.1
  • 54
    • 0023985209 scopus 로고
    • Special ordered sets and an application to gas supply operations planning
    • J. Tomlin, Special ordered sets and an application to gas supply operations planning, Math. Programm. 42 (1988), pp. 69-84.
    • (1988) Math. Programm. , vol.42 , pp. 69-84
    • Tomlin, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.