메뉴 건너뛰기




Volumn 7, Issue 1, 2010, Pages 32-45

Massively parallel dantzig-wolfe decomposition applied to traffic flow scheduling

Author keywords

[No Author keywords available]

Indexed keywords

DANTZIG-WOLFE DECOMPOSITION; EXPERIMENTAL EVIDENCE; HIGH FIDELITY; INTEGER OPTIMIZATION; INTEGRAL SOLUTIONS; LINEAR INTEGER PROGRAMMING; NATIONAL AIRSPACE SYSTEM; OPTIMAL SCHEDULING; PLANNING HORIZONS; RUNTIMES; SOLUTION QUALITY; SUB-PROBLEMS; TRAFFIC FLOW;

EID: 76949095082     PISSN: 15429423     EISSN: 15429423     Source Type: Journal    
DOI: 10.2514/1.45606     Document Type: Article
Times cited : (39)

References (32)
  • 2
    • 4944258903 scopus 로고    scopus 로고
    • New approach for modeling, analysis, and control of air traffic flow
    • doi: 10.2514/1.2556
    • Menon, P., Sweridul, G., and Bilimoria, K., "New Approach for Modeling, Analysis, and Control of Air Traffic Flow,"Journal of Guidance, Control, and Dynamics, Vol.27, No.5, 2004, pp. 737-744.doi: 10.2514/1.2556
    • (2004) Journal of Guidance, Control, and Dynamics , vol.27 , Issue.5 , pp. 737-744
    • Menon, P.1    Sweridul, G.2    Bilimoria, K.3
  • 3
    • 33747608388 scopus 로고    scopus 로고
    • Adjoint-based control of a new Eulerian network model of air traffic flow
    • DOI 10.1109/TCST.2006.876904
    • Bayen, A. M., Raffard, R. L., and Tomlin, C. J., "Adjoint-based Control of a New Eulerian Network Model of Air TrafficFlow," IEEE Transactions on Control Systems Technology, Vol.14, No.5, Sept. 2006, pp. 804-818.doi: 10.1109/TCST.2006.876904 (Pubitemid 44263834)
    • (2006) IEEE Transactions on Control Systems Technology , vol.14 , Issue.5 , pp. 804-818
    • Bayen, A.M.1    Raffard, R.L.2    Tomlin, C.J.3
  • 4
    • 0001012819 scopus 로고
    • Traffic flow management modeling with the time assignment model
    • Lindsay, K. S., Boyd, E. A., and Burlingame, R., "Traffic Flow Management Modeling with the Time Assignment Model,"Air Traffic Control Quarterly, Vol.1, No.3, 1993, pp. 255-276.
    • (1993) Air Traffic Control Quarterly , vol.1 , Issue.3 , pp. 255-276
    • Lindsay, K.S.1    Boyd, E.A.2    Burlingame, R.3
  • 5
    • 0001188860 scopus 로고    scopus 로고
    • The air traffic flow management problem with enroute capacities
    • May-June, doi: 10.1287/opre.46.3.406
    • Bertsimas, D. and Patterson, S. S., "The Air Traffic Flow Management Problem with Enroute Capacities," OperationsResearch, Vol.46, No.3, May-June 1998, pp. 406-422.doi: 10.1287/opre.46.3.406
    • (1998) Operations Research , vol.46 , Issue.3 , pp. 406-422
    • Bertsimas, D.1    Patterson, S.S.2
  • 6
    • 26244459644 scopus 로고    scopus 로고
    • Lagrangian delay predictive model for sector-based air traffic flow
    • doi: 10.2514/1.15242
    • Bayen, A. M., Grieder, P., Meyer, G., and Tomlin, C. J., "Lagrangian Delay Predictive Model for Sector-based Air TrafficFlow," Journal of Guidance, Control, and Dynamics, Vol.28, No.5, 2005, pp. 1015-1026.doi: 10.2514/1.15242
    • (2005) Journal of Guidance, Control, and Dynamics , vol.28 , Issue.5 , pp. 1015-1026
    • Bayen, A.M.1    Grieder, P.2    Meyer, G.3    Tomlin, C.J.4
  • 7
    • 58749102796 scopus 로고    scopus 로고
    • The European air traffic flow management problem
    • Nov., doi: 10.1287/trsc.1070.0214
    • Lulli, G., and Odoni, A. R., "The European Air Traffic Flow Management Problem," Transportation Science,Vol. 41, No.4,Nov. 2007, pp. 431-443.doi: 10.1287/trsc.1070.0214
    • (2007) Transportation Science , vol.41 , Issue.4 , pp. 431-443
    • Lulli, G.1    Odoni, A.R.2
  • 12
    • 45749119993 scopus 로고    scopus 로고
    • The air traffic flow management problem: An integer optimization approach
    • doi: 10.1007/978-3-540-68891-4-3
    • Bertsimas, D. J., Lulli, G., and Odoni, A. R., "The Air Traffic Flow Management Problem: An Integer OptimizationApproach," Lecture Notes in Computer Science, No.5035, 2008, pp. 34-46.doi: 10.1007/978-3-540-68891-4-3
    • (2008) Lecture Notes in Computer Science , Issue.5035 , pp. 34-46
    • Bertsimas, D.J.1    Lulli, G.2    Odoni, A.R.3
  • 13
    • 0001391104 scopus 로고
    • Decomposition principle for linear programs
    • Jan.-Feb., doi: 10.1287/opre.8.1.101
    • Dantzig, G. B., andWolfe, P., "Decomposition Principle for Linear Programs," Operations Research,Vol. 8, No.1, Jan.-Feb.1960, pp. 101-111.doi: 10.1287/opre.8.1.101
    • (1960) Operations Research , vol.8 , Issue.1 , pp. 101-111
    • Dantzig, G.B.1    Wolfe, P.2
  • 15
    • 0141576804 scopus 로고    scopus 로고
    • Computing solutions to moral-hazard programs using the Dantzig-Wolfe decomposition algorithm
    • DOI 10.1016/S0165-1889(03)00053-8, PII S0165188903000538
    • Prescott, E. S., "Computing Solutions to Moral-Hazard Programs Using the Dantzig-Wolfe Decompostion Algorithm,"Journal of Economic Dynamics and Control, Vol.28, 2004, pp. 777-800.doi: 10.1016/S0165-1889(03)00053-8 (Pubitemid 37155196)
    • (2004) Journal of Economic Dynamics and Control , vol.28 , Issue.4 , pp. 777-800
    • Prescott, E.S.1
  • 16
    • 23144437965 scopus 로고    scopus 로고
    • Dantzig-Wolfe decomposition of variational inequalities
    • DOI 10.1007/s10614-005-2519-x
    • Fuller, J. D., and Chung,W., "Dantzig-Wolfe Decompostion ofVariational Inequalities," Compuational Economics,Vol. 25,2005, pp. 303-326.doi: 10.1007/s10614-005-2519-x (Pubitemid 41086509)
    • (2005) Computational Economics , vol.25 , Issue.4 , pp. 303-326
    • Fuller, J.D.1    Chung, W.2
  • 17
    • 0030264417 scopus 로고    scopus 로고
    • An exact algorithm for IP column generation
    • DOI 10.1016/0167-6377(96)00033-8, PII S0167637796000338
    • Vanderbeck, F., andWolsey, L. A., "An Exact Algorithm for IP Column Generation," Operations Research Letters,Vol. 19,1996, pp. 151-159.doi: 10.1016/0167-6377(96)00033-8 (Pubitemid 126394962)
    • (1996) Operations Research Letters , vol.19 , Issue.4 , pp. 151-159
    • Vanderbeck, F.1    Wolsey, L.A.2
  • 18
    • 0033725783 scopus 로고    scopus 로고
    • On dantzig-wolfe decomposition in integer programming andways to perform branching in a branchand-price algorithm
    • Jan.-Feb., doi: 10.1287/opre.48.1.111.12453
    • Vanderbeck, F., "On Dantzig-Wolfe Decomposition in Integer Programming andWays to Perform Branching in a Branchand-Price Algorithm," Operations Research, Vol.48, No.1, Jan.-Feb. 2000, pp. 111-128.doi: 10.1287/opre.48.1.111.12453
    • (2000) Operations Research , vol.48 , Issue.1 , pp. 111-128
    • Vanderbeck, F.1
  • 19
    • 32644453668 scopus 로고    scopus 로고
    • A generic view of Dantzig-Wolfe decomposition in mixed integer programming
    • DOI 10.1016/j.orl.2005.05.009, PII S0167637705000659
    • Vanderbeck, F., and Savelsbergh, M.W., "AGenericViewof Dantzig-Wolfe Decomposition in Mixed Integer Programming,"Operations Research Letters, Vol.34, 2006, pp. 296-306.doi: 10.1016/j.orl.2005.05.009 (Pubitemid 43242946)
    • (2006) Operations Research Letters , vol.34 , Issue.3 , pp. 296-306
    • Vanderbeck, F.1    Savelsbergh, M.W.P.2
  • 20
    • 0023412141 scopus 로고
    • Recent advances in the decompostion approach to linear programming
    • Ho, J. K., "Recent Advances in the Decompostion Approach to Linear Programming," Mathematical Programming Study,Vol. 31, 1987, pp. 119-127.
    • (1987) Mathematical Programming Study , vol.31 , pp. 119-127
    • Ho, J.K.1
  • 22
    • 85008573133 scopus 로고    scopus 로고
    • Modeling and optimization in traffic flow management
    • Dec.
    • Sridhar, B., Grabbe, S., and Mukherjee, A., "Modeling and Optimization in Traffic Flow Management," Proceedings of theIEEE, Vol.96, No.12, Dec. 2008, pp. 2060-2080.
    • (2008) Proceedings of the IEEE , vol.96 , Issue.12 , pp. 2060-2080
    • Sridhar, B.1    Grabbe, S.2    Mukherjee, A.3
  • 24
    • 34250241494 scopus 로고
    • An advanced implementation of the dantzig-wolfe decomposition algorithm for linear programming
    • doi: 10.1007/BF01589355
    • Ho, J. K., and Loute, E., "An Advanced Implementation of the Dantzig-Wolfe Decomposition Algorithm for Linear Programming,"Mathematical Programming, Vol.20, 1981, pp. 303-326.doi: 10.1007/BF01589355
    • (1981) Mathematical Programming , vol.20 , pp. 303-326
    • Ho, J.K.1    Loute, E.2
  • 25
    • 76949091853 scopus 로고
    • Column dropping in the dantzig-wolfe convex programming algorithm
    • Jan.-Feb., doi: 10.1287/opre.25.1.148
    • O'Neill, R. P., "Column Dropping in the Dantzig-Wolfe Convex Programming Algorithm," Operations Research, Vol.25,No. 1, Jan.-Feb. 1977, pp. 148-155.doi: 10.1287/opre.25.1.148
    • (1977) Operations Research , vol.25 , Issue.1 , pp. 148-155
    • O'Neill, R.P.1
  • 28
    • 78651066756 scopus 로고    scopus 로고
    • ILOG Inc., April
    • ILOG, Inc., "ILOG CPLEX," http://www.ilog.com/products/cplex, April 2007.
    • (2007) ILOG CPLEX
  • 29
    • 33845809415 scopus 로고    scopus 로고
    • Volpe National Transportation Center, Technical Report ASDI-FD-001, Volpe National Transportation Center, U.S. Department of Transportation,June
    • Volpe National Transportation Center, "Aircraft Situation Display To Industry: Functional Description and Interface ControlDocument," Technical Report ASDI-FD-001, Volpe National Transportation Center, U.S. Department of Transportation,June 2005.
    • (2005) Aircraft Situation Display To Industry: Functional Description and Interface ControlDocument
  • 32
    • 49749138528 scopus 로고    scopus 로고
    • Advanced national airspace traffic flow management simulation experimentsand validation
    • edited by S. Henderson, B. Miller, M.-H.Hsieh, J. Shortle, J. D. Tew, and R. R. Barton
    • Hunter, G., Boisvert, B., and Ramamoorthy, K., "Advanced National Airspace Traffic Flow Management Simulation Experimentsand Validation," Proceedings of the 2007 Winter Simulation Conference, edited by S. Henderson, B. Miller, M.-H.Hsieh, J. Shortle, J. D. Tew, and R. R. Barton, 2007.
    • (2007) Proceedings of the 2007 Winter Simulation Conference
    • Hunter, G.1    Boisvert, B.2    Ramamoorthy, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.