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Volumn 55, Issue 12, 2010, Pages 2778-2792

Optimization based production planning with hybrid dynamics and constraints

Author keywords

Dynamic programming (DP); Lagrangian relaxation (LR); mixed integer programming; production planning

Indexed keywords

ACROSS TIME; CONTINUOUS OPTIMIZATION PROBLEMS; CONTINUOUS PRODUCTION; DISCRETE OPTIMIZATION PROBLEMS; DISCRETE PROBLEMS; DISCRETE STATE; DISCRETIZATIONS; ECONOMIC IMPACTS; HYBRID DYNAMICS; INDUSTRIAL PRODUCTION; INTERMEDIATE LEVEL; LAGRANGIAN RELAXATION; LAGRANGIAN RELAXATIONS; MIXED INTEGER PROGRAMMING; NUMERICAL TESTING; OPERATING STATE; OPTIMAL SOLUTIONS; OPTIMALITY; OTHER APPLICATIONS; PIECEWISE LINEAR COST FUNCTIONS; PLANNING PROBLEM; POWER GENERATION PLANNING; PRODUCTION LEVEL; PRODUCTION PLANNING; PRODUCTION SYSTEM; SUB-PROBLEMS; TIME SPAN;

EID: 78650014441     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2049913     Document Type: Article
Times cited : (12)

References (46)
  • 1
    • 0023534142 scopus 로고
    • Optimization-based methods for operations scheduling
    • Dec.
    • A. I. Cohen and V. Sherkat, "Optimization-based methods for operations scheduling," Proc. IEEE, vol. 75, no. 12, pp. 1574-1591, Dec. 1987.
    • (1987) Proc. IEEE , vol.75 , Issue.12 , pp. 1574-1591
    • Cohen, A.I.1    Sherkat, V.2
  • 2
    • 0000835757 scopus 로고
    • An approximated method for the production scheduling of industrial batch process with parallel units
    • R. F. H. Muiser and L. B. Evans, "An approximated method for the production scheduling of industrial batch process with parallel units," Comp. Chem. Engng, vol. 13, no. 2, pp. 229-238, 1989.
    • (1989) Comp. Chem. Engng , vol.13 , Issue.2 , pp. 229-238
    • Muiser, R.F.H.1    Evans, L.B.2
  • 3
    • 0032186585 scopus 로고    scopus 로고
    • An improvement of the Lagrangian relaxation approach for job shop scheduling: A dynamic programming method
    • Oct.
    • H. Chen, C. Chu, and J. M. Proth, "An improvement of the Lagrangian relaxation approach for job shop scheduling: A dynamic programming method," IEEE Trans. Robot. Autom., vol. 14, no. 5, pp. 786-795, Oct. 1998.
    • (1998) IEEE Trans. Robot. Autom. , vol.14 , Issue.5 , pp. 786-795
    • Chen, H.1    Chu, C.2    Proth, J.M.3
  • 4
    • 0020100192 scopus 로고
    • Using Lagrangian techniques to solve hierarchical production planning problems
    • S. C. Graves, "Using Lagrangian techniques to solve hierarchical production planning problems," Manag. Sci., vol. 28, no. 3, pp. 260-275, 1982.
    • (1982) Manag. Sci. , vol.28 , Issue.3 , pp. 260-275
    • Graves, S.C.1
  • 5
    • 0345240682 scopus 로고    scopus 로고
    • A Lagrangian relaxation approach for supply chain planning with order/setup costs and capacity constraints
    • H. Chen and C. Chu, "A Lagrangian relaxation approach for supply chain planning with order/setup costs and capacity constraints," J. Syst. Sci. Syst. Eng., vol. 12, no. 1, pp. 98-110, 2003.
    • (2003) J. Syst. Sci. Syst. Eng. , vol.12 , Issue.1 , pp. 98-110
    • Chen, H.1    Chu, C.2
  • 7
    • 0035505644 scopus 로고    scopus 로고
    • An ordinal optimization based bidding strategy for electric power suppliers in the daily electric energy market
    • Nov.
    • X. Guan, Y. C. Ho, and F. Lai, "An ordinal optimization based bidding strategy for electric power suppliers in the daily electric energy market," IEEE Trans. Power Syst., vol. 16, no. 4, pp. 788-797, Nov. 2001.
    • (2001) IEEE Trans. Power Syst. , vol.16 , Issue.4 , pp. 788-797
    • Guan, X.1    Ho, Y.C.2    Lai, F.3
  • 9
    • 36348988575 scopus 로고    scopus 로고
    • Fast SCUC for large-scale power systems
    • Nov.
    • Y. Fu and M. Shahidehpour, "Fast SCUC for large-scale power systems," IEEE Trans. Power Syst., vol. 22, no. 4, pp. 2144-2151, Nov. 2007.
    • (2007) IEEE Trans. Power Syst. , vol.22 , Issue.4 , pp. 2144-2151
    • Fu, Y.1    Shahidehpour, M.2
  • 10
    • 0034244118 scopus 로고    scopus 로고
    • Optimal response of a thermal unit to an electricity spot market
    • Aug.
    • J. M. Arroyo and A. J. Conejo, "Optimal response of a thermal unit to an electricity spot market," IEEE Trans. Power Syst., vol. 15, no. 3, pp. 1098-1104, Aug. 2000.
    • (2000) IEEE Trans. Power Syst. , vol.15 , Issue.3 , pp. 1098-1104
    • Arroyo, J.M.1    Conejo, A.J.2
  • 11
    • 4043065611 scopus 로고    scopus 로고
    • Strategic self-dispatch considering ramping costs in deregulated power market
    • Aug.
    • G. B. Shrestha, K. Song, and L. Goel, "Strategic self-dispatch considering ramping costs in deregulated power market," IEEE Trans. Power Syst., vol. 19, no. 3, pp. 1575-1581, Aug. 2004.
    • (2004) IEEE Trans. Power Syst. , vol.19 , Issue.3 , pp. 1575-1581
    • Shrestha, G.B.1    Song, K.2    Goel, L.3
  • 12
    • 0036872142 scopus 로고    scopus 로고
    • Price-maker self-scheduling in a pool-based electricity market: A mixed-integer LP approach
    • Nov.
    • S. Torre, J. M. Arroyo, A. J. Conejo, and J. Contreras, "Price-maker self-scheduling in a pool-based electricity market: A mixed-integer LP approach," IEEE Trans. Power Syst., vol. 17, no. 4, pp. 1037-1042, Nov. 2002.
    • (2002) IEEE Trans. Power Syst. , vol.17 , Issue.4 , pp. 1037-1042
    • Torre, S.1    Arroyo, J.M.2    Conejo, A.J.3    Contreras, J.4
  • 13
    • 33646355424 scopus 로고    scopus 로고
    • Payment cost minimization auction for deregulated electricity markets using surrogate optimization
    • May
    • P. B. Luh et al., "Payment cost minimization auction for deregulated electricity markets using surrogate optimization," IEEE Trans. Power Syst., vol. 21, no. 2, pp. 568-578, May 2006.
    • (2006) IEEE Trans. Power Syst. , vol.21 , Issue.2 , pp. 568-578
    • Luh, P.B.1
  • 14
    • 0034391919 scopus 로고    scopus 로고
    • Evaluation of a truthful revelation auction in the context of energy markets with nonconcave benefits
    • B. F. Hobbs, M. F. Rothkopf, L. C. Hyde, and R. P. O'Neill, "Evaluation of a truthful revelation auction in the context of energy markets with nonconcave benefits," J. Regulatory Econ., vol. 18, no. 1, pp. 5-32, 2000.
    • (2000) J. Regulatory Econ. , vol.18 , Issue.1 , pp. 5-32
    • Hobbs, B.F.1    Rothkopf, M.F.2    Hyde, L.C.3    O'Neill, R.P.4
  • 15
    • 0024068934 scopus 로고
    • Short-term scheduling of thermal-electric generators using Lagrangian relaxation
    • J. F. Bard, "Short-term scheduling of thermal-electric generators using Lagrangian relaxation," Oper. Res., vol. 36, no. 5, pp. 756-766, 1988.
    • (1988) Oper. Res. , vol.36 , Issue.5 , pp. 756-766
    • Bard, J.F.1
  • 17
    • 0022901698 scopus 로고
    • Short-term scheduling for multiproduct batch chemical plants
    • U. M. Egli and D. W. T. Rippin, "Short-term scheduling for multiproduct batch chemical plants," Comp. Chem. Eng., vol. 10, no. 4, pp. 303-325, 1986.
    • (1986) Comp. Chem. Eng. , vol.10 , Issue.4 , pp. 303-325
    • Egli, U.M.1    Rippin, D.W.T.2
  • 19
    • 0037291089 scopus 로고    scopus 로고
    • Lagrangian heuristics based on disaggregated bundle methods for hydrothermal unit commitment
    • Feb.
    • A. Borghetti, A. Frangioni, F. Lacalandra, and C. A. Nucci, "Lagrangian heuristics based on disaggregated bundle methods for hydrothermal unit commitment," IEEE Trans. Power Syst., vol. 18, no. 1, pp. 313-323, Feb. 2003.
    • (2003) IEEE Trans. Power Syst. , vol.18 , Issue.1 , pp. 313-323
    • Borghetti, A.1    Frangioni, A.2    Lacalandra, F.3    Nucci, C.A.4
  • 20
    • 1542299690 scopus 로고    scopus 로고
    • Optimization based methods for unit commitment: Lagrangian relaxation versus general mixed integer programming
    • Toronto, ON, Canada Jul.
    • X. H. Guan, Q. Z. Zhai, and A. Papalexopoulos, "Optimization based methods for unit commitment: Lagrangian relaxation versus general mixed integer programming," in Proc. IEEE Power Eng. Soc. General Meeting, Toronto, ON, Canada, Jul. 2003, vol. 2, pp. 1095-1100.
    • (2003) Proc. IEEE Power Eng. Soc. General Meeting , vol.2 , pp. 1095-1100
    • Guan, X.H.1    Zhai, Q.Z.2    Papalexopoulos, A.3
  • 21
    • 0031996781 scopus 로고    scopus 로고
    • Hydrothermal scheduling based Lagrangian relaxation approach to hydrothermal coordination
    • Feb.
    • M. S. Salam, K.M. Nor, and A. R. Hamdan, "Hydrothermal scheduling based Lagrangian relaxation approach to hydrothermal coordination," IEEE Trans. Power Syst., vol. 13, no. 1, pp. 226-235, Feb. 1998.
    • (1998) IEEE Trans. Power Syst. , vol.13 , Issue.1 , pp. 226-235
    • Salam, M.S.1    Nor, K.M.2    Hamdan, A.R.3
  • 22
    • 0002554041 scopus 로고
    • Lagrangian relaxation for integer programming
    • The Netherlands: North Holland
    • A. M. Geoffrion, "Lagrangian relaxation for integer programming," in Mathematical Programming Study. Amsterdam, The Netherlands: North Holland, 1974, vol. 2, pp. 82-114.
    • (1974) Mathematical Programming Study. Amsterdam , vol.2 , pp. 82-114
    • Geoffrion, A.M.1
  • 23
    • 0019477279 scopus 로고
    • The Lagrangian relaxation method for solving integer programming problems
    • M. L. Fisher, "The Lagrangian relaxation method for solving integer programming problems," Manag. Sci., vol. 27, no. 1, pp. 1-18, 1981.
    • (1981) Manag. Sci. , vol.27 , Issue.1 , pp. 1-18
    • Fisher, M.L.1
  • 24
    • 37749027404 scopus 로고
    • An optimization-based method for unit commitment
    • X. Guan, P. B. Luh, and H. Yan, "An optimization-based method for unit commitment," Int. J. Elect. Power Energy Syst., vol. 14, no. 1, pp. 9-17, 1992.
    • (1992) Int. J. Elect. Power Energy Syst. , vol.14 , Issue.1 , pp. 9-17
    • Guan, X.1    Luh, P.B.2    Yan, H.3
  • 25
    • 0027625736 scopus 로고
    • Scheduling of manufacturing systems using the Lagrangian relaxation technique
    • Jun.
    • P. B. Luh and D. J. Hoitomt, "Scheduling of manufacturing systems using the Lagrangian relaxation technique," IEEE Trans. Autom. Control, vol. 38, no. 6, pp. 1066-1080, Jun. 1993.
    • (1993) IEEE Trans. Autom. Control , vol.38 , Issue.6 , pp. 1066-1080
    • Luh, P.B.1    Hoitomt, D.J.2
  • 26
    • 0029307071 scopus 로고
    • A capacity based Lagrangian relaxation unit commitment with ramp rate constraints
    • May
    • W. L. Peterson and S. R. Brammer, "A capacity based Lagrangian relaxation unit commitment with ramp rate constraints," IEEE Trans. Power Syst., vol. 10, no. 2, pp. 1077-1084, May 1995.
    • (1995) IEEE Trans. Power Syst. , vol.10 , Issue.2 , pp. 1077-1084
    • Peterson, W.L.1    Brammer, S.R.2
  • 27
    • 0036873329 scopus 로고    scopus 로고
    • Unit commitment with identical units: Successive subproblem solving method based on Lagrangian relaxation
    • Nov.
    • Q. Zhai, X. Guan, and J. Cui, "Unit commitment with identical units: Successive subproblem solving method based on Lagrangian relaxation," IEEE Trans. Power Syst., vol. 17, no. 4, pp. 1250-1257, Nov. 2002.
    • (2002) IEEE Trans. Power Syst. , vol.17 , Issue.4 , pp. 1250-1257
    • Zhai, Q.1    Guan, X.2    Cui, J.3
  • 28
    • 0029356615 scopus 로고
    • A direct method for security-constrained unit commitment
    • Aug.
    • J. J. Shaw, "A direct method for security-constrained unit commitment," IEEE Trans. Power Syst., vol. 10, no. 3, pp. 1329-1342, Aug. 1995.
    • (1995) IEEE Trans. Power Syst. , vol.10 , Issue.3 , pp. 1329-1342
    • Shaw, J.J.1
  • 30
    • 78650009721 scopus 로고
    • Handbooks inOR&Ms Vol. 1 optimization
    • G. L. Nemhauser Ed., et al. Amsterdam, The Netherlands: Elsevier Science Publishers B.V ch. VII
    • ,G. L. Nemhauser, Ed. et al., "Handbooks inOR&Ms,Vol. 1 optimization," in Nondifferentiable Optimization. Amsterdam, The Netherlands: Elsevier Science Publishers B.V, 1989, ch. VII.
    • (1989) Nondifferentiable Optimization
  • 33
    • 0035340883 scopus 로고    scopus 로고
    • Nonconvex economic dispatch by integrated artificial intelligence
    • DOI 10.1109/59.918303, PII S088589500103797X
    • W. Lin, F. Cheng, and M. Tsay, "Nonconvex economic dispatch by integrated artificial intelligence," IEEE Trans. Power Syst., vol. 16, no. 2, pp. 307-311, May 2001. (Pubitemid 32444293)
    • (2001) IEEE Transactions on Power Systems , vol.16 , Issue.2 , pp. 307-311
    • Lin, W.-M.1    Cheng, F.-S.2    Tsay, M.-T.3
  • 34
    • 0344395549 scopus 로고    scopus 로고
    • Environmental/economic power dispatch using multiobjective evolutionary algorithms
    • Nov.
    • M. A. Abido, "Environmental/economic power dispatch using multiobjective evolutionary algorithms," IEEE Trans. Power Syst., vol. 18, no. 4, pp. 1529-1537, Nov. 2003.
    • (2003) IEEE Trans. Power Syst. , vol.18 , Issue.4 , pp. 1529-1537
    • Abido, M.A.1
  • 35
    • 0036473939 scopus 로고    scopus 로고
    • An improved tabu search for economic dispatch with multiple minima
    • Feb.
    • W. Lin, F. Cheng, and M. Tsay, "An improved tabu search for economic dispatch with multiple minima," IEEE Trans. Power Syst., vol. 17, no. 1, pp. 108-112, Feb. 2002.
    • (2002) IEEE Trans. Power Syst. , vol.17 , Issue.1 , pp. 108-112
    • Lin, W.1    Cheng, F.2    Tsay, M.3
  • 36
    • 0036577082 scopus 로고    scopus 로고
    • A hybrid EP and SQP for dynamic economic dispatch with nonsmooth fuel cost function
    • May
    • P. Attaviriyanupap, H. Kita, E. Tanaka, and J. Hasegawa, "A hybrid EP and SQP for dynamic economic dispatch with nonsmooth fuel cost function," IEEE Trans. Power Syst., vol. 17, no. 2, pp. 411-416, May 2002.
    • (2002) IEEE Trans. Power Syst. , vol.17 , Issue.2 , pp. 411-416
    • Attaviriyanupap, P.1    Kita, H.2    Tanaka, E.3    Hasegawa, J.4
  • 37
    • 0035712199 scopus 로고    scopus 로고
    • An assessment of the current status of algorithmic approaches to the verification of hybrid systems
    • B. Silva, O. Stursberg, B. Krogh, and S. Engell, "An assessment of the current status of algorithmic approaches to the verification of hybrid systems," in Proc. IEEE Conf. Decision Control, 2001, pp. 2867-2874.
    • (2001) Proc. IEEE Conf. Decision Control , pp. 2867-2874
    • Silva, B.1    Stursberg, O.2    Krogh, B.3    Engell, S.4
  • 38
    • 3042553739 scopus 로고    scopus 로고
    • Applied hybrid system optimization: An empirical investigation of complexity
    • J. Till, S. Engell, S. Panek, and O. Stursberg, "Applied hybrid system optimization: An empirical investigation of complexity," Control Eng. Practice, vol. 12, no. 10, pp. 1291-1303, 2004.
    • (2004) Control Eng. Practice , vol.12 , Issue.10 , pp. 1291-1303
    • Till, J.1    Engell, S.2    Panek, S.3    Stursberg, O.4
  • 39
    • 0035971906 scopus 로고    scopus 로고
    • Forward decomposition algorithms for optimal control of a class of hybrid systems
    • Y. C. Cho, C. G. Cassandras, and D. L. Pepyne, "Forward decomposition algorithms for optimal control of a class of hybrid systems," Int. J. Robust Nonlin. Control, vol. 11, no. 5, pp. 497-513, 2001.
    • (2001) Int. J. Robust Nonlin. Control , vol.11 , Issue.5 , pp. 497-513
    • Cho, Y.C.1    Cassandras, C.G.2    Pepyne, D.L.3
  • 40
    • 0016025814 scopus 로고
    • Validation of subgradient optimization
    • M. Held, P. Wolf, and H. P. Crowder, "Validation of subgradient optimization," Math. Programming, vol. 6, pp. 62-88, 1974.
    • (1974) Math. Programming , vol.6 , pp. 62-88
    • Held, M.1    Wolf, P.2    Crowder, H.P.3
  • 41
    • 0033247536 scopus 로고    scopus 로고
    • The surrogate gradient algorithm for Lagrangian relaxation
    • Mar.
    • X. Zhao, P. B. Luh, and J. Wang, "The surrogate gradient algorithm for Lagrangian relaxation," J. Optim. Theory Appl., vol. 100, no. 3, pp. 699-712, Mar. 1999.
    • (1999) J. Optim. Theory Appl. , vol.100 , Issue.3 , pp. 699-712
    • Zhao, X.1    Luh, P.B.2    Wang, J.3
  • 42
    • 0037189704 scopus 로고    scopus 로고
    • A new method for unit commitment with ramping constraints
    • W. Fan, X. Guan, and Q. Zhai, "A new method for unit commitment with ramping constraints," Elect. Power Syst. Res., vol. 63, no. 3, pp. 215-224, 2002.
    • (2002) Elect. Power Syst. Res. , vol.63 , Issue.3 , pp. 215-224
    • Fan, W.1    Guan, X.2    Zhai, Q.3
  • 43
    • 0030082567 scopus 로고    scopus 로고
    • A genetic algorithm solution to the unit commitment problem
    • Feb.
    • S. A. Kazarlis, A. G. Bakirtzis, and V. Petridis, "A genetic algorithm solution to the unit commitment problem," IEEE Trans. Power Syst., vol. 11, no. 1, pp. 83-92, Feb. 1996.
    • (1996) IEEE Trans. Power Syst. , vol.11 , Issue.1 , pp. 83-92
    • Kazarlis, S.A.1    Bakirtzis, A.G.2    Petridis, V.3
  • 45
    • 68549126732 scopus 로고    scopus 로고
    • Fast unit commitment based on optimal linear approximation to nonlinear fuel costs: Error analysis and applications
    • Q. Zhai, X. Guan, and J. Yang, "Fast unit commitment based on optimal linear approximation to nonlinear fuel costs: Error analysis and applications," Elect. Power Syst. Res., vol. 79, no. 11, pp. 1604-1613, 2009.
    • (2009) Elect. Power Syst. Res. , vol.79 , Issue.11 , pp. 1604-1613
    • Zhai, Q.1    Guan, X.2    Yang, J.3


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