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Volumn 124, Issue 1-4, 2003, Pages 35-48

Solving difficult multicommodity problems with a specialized interior-point algorithm

Author keywords

Interior point methods; Linear programming; Multicommodity flows; Network optimization

Indexed keywords


EID: 3542996935     PISSN: 02545330     EISSN: 15729338     Source Type: Journal    
DOI: 10.1023/B:ANOR.0000004761.99649.a5     Document Type: Article
Times cited : (20)

References (29)
  • 2
    • 0040502169 scopus 로고
    • Technical Report 77003. Department of Ind. Eng. and Operations Research, Southern Methodist University, Dallas
    • Ali, A. and J.L. Kennington. (1977). "Mnetgen Program Documentation." Technical Report 77003, Department of Ind. Eng. and Operations Research, Southern Methodist University, Dallas.
    • (1977) Mnetgen Program Documentation
    • Ali, A.1    Kennington, J.L.2
  • 3
    • 0003944393 scopus 로고    scopus 로고
    • Approximately solving large-scale linear programs. I: Strengthening lower bounds and accelerating convergence
    • Columbia University, New York
    • Bienstock, D. (1999). "Approximately Solving Large-Scale Linear Programs. I: Strengthening Lower Bounds and Accelerating Convergence." CORC Report 1999-1, Columbia University, New York.
    • (1999) CORC Report 1999-1
    • Bienstock, D.1
  • 5
    • 0034389613 scopus 로고    scopus 로고
    • A specialized interior-point algorithm for multicommodity network flows
    • Castro, J. (2000a). "A Specialized Interior-Point Algorithm for Multicommodity Network Flows." SIAM Journal on Optimization 10(3), 852-877.
    • (2000) SIAM Journal on Optimization , vol.10 , Issue.3 , pp. 852-877
    • Castro, J.1
  • 6
    • 34548863484 scopus 로고    scopus 로고
    • Computational experience with a parallel implementation of an interior-point algorithm for multicommodity flows
    • M.J.D. Powell and S. Scholtes (eds.). Dordrecht: Kluwer
    • Castro, J. (2000b). "Computational Experience with a Parallel Implementation of an Interior-Point Algorithm for Multicommodity Flows." In M.J.D. Powell and S. Scholtes (eds.), System Modelling and Optimization. Methods, Theory and Applications. Dordrecht: Kluwer, pp. 79-95.
    • (2000) System Modelling and Optimization. Methods, Theory and Applications , pp. 79-95
    • Castro, J.1
  • 7
    • 84957793926 scopus 로고    scopus 로고
    • A parallel implementation of an interior-point algorithm for multicommodity network flows
    • J.M. Palma, J. Dongarra, and V. Hernández (eds.), Lecture Notes in Computer Sciences. Berlin: Springer
    • Castro, J. and A. Frangioni. (2001). "A Parallel Implementation of an Interior-Point Algorithm for Multicommodity Network Flows." In J.M. Palma, J. Dongarra, and V. Hernández (eds.), Vector and Parallel Processing, Lecture Notes in Computer Sciences, Vol. 1981. Berlin: Springer, pp. 301-315.
    • (2001) Vector and Parallel Processing , vol.1981 , pp. 301-315
    • Castro, J.1    Frangioni, A.2
  • 8
    • 0030570321 scopus 로고    scopus 로고
    • An implementation of linear and nonlinear multicommodity network flows
    • Castro, J. and N. Nabona. (1996). "An Implementation of Linear and Nonlinear Multicommodity Network Flows." European Journal of Operations Research 92, 37-53.
    • (1996) European Journal of Operations Research , vol.92 , pp. 37-53
    • Castro, J.1    Nabona, N.2
  • 9
  • 10
    • 84873016484 scopus 로고    scopus 로고
    • Simplex and interior point specialized algorithms for solving non-oriented multicommodity flow problems
    • To appear
    • Chardaire, P. and A. Lisser. (1999). "Simplex and Interior Point Specialized Algorithms for Solving Non-Oriented Multicommodity Flow Problems." To appear in Operations Research.
    • (1999) Operations Research
    • Chardaire, P.1    Lisser, A.2
  • 11
    • 3543023186 scopus 로고    scopus 로고
    • Minimum cost multicommodity flow
    • M. Pardalos and M. Resende (eds.). Oxford: Oxford University Press
    • Chardaire, P. and A. Lisser. (2002). "Minimum Cost Multicommodity Flow." In M. Pardalos and M. Resende (eds.), Handbook of Applied Optimization. Oxford: Oxford University Press, pp. 404-422.
    • (2002) Handbook of Applied Optimization , pp. 404-422
    • Chardaire, P.1    Lisser, A.2
  • 13
    • 0001618549 scopus 로고    scopus 로고
    • A bundle type dual-ascent approach to linear multicommodity min cost flow problems
    • Frangioni, A. and G. Gallo. (1999). "A Bundle Type Dual-Ascent Approach to Linear Multicommodity Min Cost Flow Problems." INFORMS Journal on Computing 11(4), 370-393.
    • (1999) INFORMS Journal on Computing , vol.11 , Issue.4 , pp. 370-393
    • Frangioni, A.1    Gallo, G.2
  • 14
    • 0043048463 scopus 로고    scopus 로고
    • Solving nonlinear multicommodity flow problems by the analytic center cutting plane method
    • Goffin, J.-L., J. Gondzio, R. Sarkissian, and J.-P. Vial. (1996). "Solving Nonlinear Multicommodity Flow Problems by the Analytic Center Cutting Plane Method." Mathematical Programming 76, 131-154.
    • (1996) Mathematical Programming , vol.76 , pp. 131-154
    • Goffin, J.-L.1    Gondzio, J.2    Sarkissian, R.3    Vial, J.-P.4
  • 15
    • 84958757020 scopus 로고    scopus 로고
    • An implementation of a combinatorial approximation algorithm for minimum-cost multicommodity flow
    • R.E. Bixby, E.A. Boyd, and R.Z. Ríos-Mercado (eds.). Lecture Notes in Computer Sciences. Berlin: Springer
    • Goldberg, A.V., J.D. Oldham, S. Plotkin, and C. Stein. (1998). "An Implementation of a Combinatorial Approximation Algorithm for Minimum-Cost Multicommodity Flow." In R.E. Bixby, E.A. Boyd, and R.Z. Ríos-Mercado (eds.), Proceedings of the 6th International Integer Programming and Combinatorial Optimization Conference. Lecture Notes in Computer Sciences, Vol. 1412. Berlin: Springer.
    • (1998) Proceedings of the 6th International Integer Programming and Combinatorial Optimization Conference , vol.1412
    • Goldberg, A.V.1    Oldham, J.D.2    Plotkin, S.3    Stein, C.4
  • 17
    • 0030242781 scopus 로고    scopus 로고
    • Multiple centrality corrections in a primal-dual method for linear programming
    • Gondzio, J. (1996). "Multiple Centrality Corrections in a Primal-Dual Method for Linear Programming." Computational Optimization and Applications 6, 137-156.
    • (1996) Computational Optimization and Applications , vol.6 , pp. 137-156
    • Gondzio, J.1
  • 18
    • 0029636095 scopus 로고
    • Solving a class of LP problems with a primal-dual logarithmic barrier method
    • Gondzio, J. and M. Makowski. (1995). "Solving a Class of LP Problems with a Primal-Dual Logarithmic Barrier Method." European Journal of Operations Research 80, 184-192.
    • (1995) European Journal of Operations Research , vol.80 , pp. 184-192
    • Gondzio, J.1    Makowski, M.2
  • 19
    • 21844527358 scopus 로고
    • An exponential-function reduction method for block-angular convex programs
    • Grigoriadis, M.D. and L.G. Khachiyan. (1995). "An Exponential-Function Reduction Method for Block-Angular Convex Programs." Networks 26, 59-68.
    • (1995) Networks , vol.26 , pp. 59-68
    • Grigoriadis, M.D.1    Khachiyan, L.G.2
  • 20
    • 0003883193 scopus 로고    scopus 로고
    • Reference Manual Library. ILOG
    • ILOG CPLEX. (1999). ILOG CPLEX 6.5 Reference Manual Library. ILOG.
    • (1999) ILOG CPLEX 6.5
  • 22
    • 0033723062 scopus 로고    scopus 로고
    • A decomposition bases pricing procedure for large scale linear programs: An application to the linear multicommodity flow problem
    • Mamer, J. and R. McBride. (2000). "A Decomposition Bases Pricing Procedure for Large Scale Linear Programs: An Application to the Linear Multicommodity Flow Problem." Management Science 46, 693-709.
    • (2000) Management Science , vol.46 , pp. 693-709
    • Mamer, J.1    McBride, R.2
  • 23
    • 0032332554 scopus 로고    scopus 로고
    • Progress made in solving the multicommodity flow problem
    • McBride, R.D. (1998). "Progress Made in Solving the Multicommodity Flow Problem." SIAM Journal on Optimization 8, 947-955.
    • (1998) SIAM Journal on Optimization , vol.8 , pp. 947-955
    • McBride, R.D.1
  • 24
    • 0000561116 scopus 로고
    • On the implementation of a primal-dual interior point method
    • Mehrotra, S. (1992). "On the Implementation of a Primal-Dual Interior Point Method." SIAM Journal on Optimization 2, 575-601.
    • (1992) SIAM Journal on Optimization , vol.2 , pp. 575-601
    • Mehrotra, S.1
  • 25
    • 0000018801 scopus 로고
    • Block sparse cholesky algorithms on advanced uniprocessor computers
    • Ng, E. and B.W. Peyton. (1993). "Block Sparse Cholesky Algorithms on Advanced Uniprocessor Computers." SIAM Journal on Scientific Computing 14, 1034-1056.
    • (1993) SIAM Journal on Scientific Computing , vol.14 , pp. 1034-1056
    • Ng, E.1    Peyton, B.W.2
  • 26
    • 0040913041 scopus 로고    scopus 로고
    • A truncated interior-point method for the solution of minimum cost flow problems on an undirected multicommodity flow network
    • in Portuguese
    • Portugal, L., M.G.C. Resende, G. Veiga, G., and J. Júdice. (1997). "A Truncated Interior-Point Method for the Solution of Minimum Cost Flow Problems on an Undirected Multicommodity Flow Network." In Proceedings of First Portuguese National Telecommunications Conference, pp. 381-384 (in Portuguese).
    • (1997) Proceedings of First Portuguese National Telecommunications Conference , pp. 381-384
    • Portugal, L.1    Resende, M.G.C.2    Veiga, G.3    Júdice, J.4
  • 27
    • 0001157796 scopus 로고
    • An implementation of the dual affine scaling algorithm for minimum cost flow on bipartite uncapacitated networks
    • Resende, M.G.C. and G. Veiga. (1993). "An Implementation of the Dual Affine Scaling Algorithm for Minimum Cost Flow on Bipartite Uncapacitated Networks." SIAM Journal on Optimization 3, 516-537.
    • (1993) SIAM Journal on Optimization , vol.3 , pp. 516-537
    • Resende, M.G.C.1    Veiga, G.2
  • 28
    • 0041119132 scopus 로고
    • An interior point method for block angular optimization
    • Schultz, G.L. and R.R. Meyer. (1991). "An Interior Point Method for Block Angular Optimization." SIAM Journal on Optimization 1, 583-602.
    • (1991) SIAM Journal on Optimization , vol.1 , pp. 583-602
    • Schultz, G.L.1    Meyer, R.R.2


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