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Volumn 34, Issue 1, 2006, Pages 127-155

A Branch-and-Bound algorithm for concave network flow problems

Author keywords

Branch and bound; Concave network flows; Dynamic programming; Global optimization; State space relaxation

Indexed keywords

DYNAMIC PROGRAMMING; GLOBAL OPTIMIZATION; PROBLEM SOLVING;

EID: 29144516209     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1007/s10898-005-1658-x     Document Type: Article
Times cited : (18)

References (22)
  • 1
    • 0342862183 scopus 로고    scopus 로고
    • Beasley, J.E. (OR-L), 'Or-Library', http://www.brunel.ac.uk/depts/ma/ research/jeb/info.html.
    • Or-library
    • Beasley, J.E.1
  • 2
    • 0348238284 scopus 로고    scopus 로고
    • Linear approximations in a dynamic programming approach for the uncapacitated single-source minimum concave cost network flow problem in acyclic networks
    • Burkard, R.E., Dollani, H. and Thach, P.H. (2001), Linear approximations in a dynamic programming approach for the uncapacitated single-source minimum concave cost network flow problem in acyclic networks, Journal of Global Optimization, 19, 121-139.
    • (2001) Journal of Global Optimization , vol.19 , pp. 121-139
    • Burkard, R.E.1    Dollani, H.2    Thach, P.H.3
  • 3
    • 0019572341 scopus 로고
    • State space relaxation procedures for the computation of bounds to routing problems
    • Christofides, N., Mingozzi, A. and Toth, P. (1981), State space relaxation procedures for the computation of bounds to routing problems, Networks, 11, 145-164.
    • (1981) Networks , vol.11 , pp. 145-164
    • Christofides, N.1    Mingozzi, A.2    Toth, P.3
  • 5
    • 2142837810 scopus 로고    scopus 로고
    • PhD thesis, The Management School, Imperial College of Science Technology and Medicine, London, U.K.
    • Fontes, D.B.M.M. (2000), Optimal Network Design Using Nonlinear Cost Flows, PhD thesis, The Management School, Imperial College of Science Technology and Medicine, London, U.K.
    • (2000) Optimal Network Design Using Nonlinear Cost Flows
    • Fontes, D.B.M.M.1
  • 6
    • 2142721004 scopus 로고    scopus 로고
    • Upper bounds for single source uncapacitated minimum concave-cost network flow problems
    • Fontes, D.B.M.M., Hadjiconstantinou, E. and Christofides, N. (2003), Upper bounds for single source uncapacitated minimum concave-cost network flow problems, Networks, 41, 221-228.
    • (2003) Networks , vol.41 , pp. 221-228
    • Fontes, D.B.M.M.1    Hadjiconstantinou, E.2    Christofides, N.3
  • 7
    • 29144500780 scopus 로고    scopus 로고
    • A dynamic programming approach for solving single-source uncapacitated concave minimum cost network flow problems
    • in Press
    • Fontes, D.B.M.M., Hadjiconstantinou, E. and Christofides, N. (2005a), A dynamic programming approach for solving single-source uncapacitated concave minimum cost network flow problems, European Journal of Operational Research, in Press.
    • (2005) European Journal of Operational Research
    • Fontes, D.B.M.M.1    Hadjiconstantinou, E.2    Christofides, N.3
  • 10
    • 0041517247 scopus 로고
    • Network problems
    • Horst, R. and Pardalos, P.M. (eds.), Kluwer Academic, Dordrecht
    • Guisewite, G.M. (1994), Network problems, In Horst, R. and Pardalos, P.M. (eds.), Handbook of Global Optimization, Kluwer Academic, Dordrecht, pp. 609-648.
    • (1994) Handbook of Global Optimization , pp. 609-648
    • Guisewite, G.M.1
  • 11
    • 0012863459 scopus 로고
    • Algorithms for the single-source uncapacitated minimum concave-cost network flow problem
    • Guisewite, G.M. and Pardalos, P.M. (199la), Algorithms for the single-source uncapacitated minimum concave-cost network flow problem', Journal of Global Optimization, 3, 245-265.
    • (1991) Journal of Global Optimization , vol.3 , pp. 245-265
    • Guisewite, G.M.1    Pardalos, P.M.2
  • 12
    • 0012806902 scopus 로고
    • Global search algorithms for minimum concave-cost network flow problems
    • Guisewite, G.M. and Pardalos, P.M. (1991b), Global search algorithms for minimum concave-cost network flow problems, Journal of Global Optimization, 1, 309-330.
    • (1991) Journal of Global Optimization , vol.1 , pp. 309-330
    • Guisewite, G.M.1    Pardalos, P.M.2
  • 14
    • 84987041181 scopus 로고
    • Analysis of a flow problem with fixed charges
    • Hochbaum, D.S. and Segev, A. (1989), Analysis of a flow problem with fixed charges, Networks, 19, 291-312.
    • (1989) Networks , vol.19 , pp. 291-312
    • Hochbaum, D.S.1    Segev, A.2
  • 15
    • 85047671700 scopus 로고    scopus 로고
    • An integer concave minimization approach for the minimum concave cost capacitated flow problem on networks
    • Horst, R. and Thoai, N.V. (1998), An integer concave minimization approach for the minimum concave cost capacitated flow problem on networks, OR Spectrum, 20, 45-53.
    • (1998) OR Spectrum , vol.20 , pp. 45-53
    • Horst, R.1    Thoai, N.V.2
  • 16
    • 0032640670 scopus 로고    scopus 로고
    • A solution approach to the fixed charge network flow problem using a dynamic slope scaling procedure
    • Kim, D. and Pardalos, P.M. (1999), A solution approach to the fixed charge network flow problem using a dynamic slope scaling procedure, Operations Research Letters, 24, 195-203.
    • (1999) Operations Research Letters , vol.24 , pp. 195-203
    • Kim, D.1    Pardalos, P.M.2
  • 17
    • 0037533127 scopus 로고    scopus 로고
    • A dynamic domain contraction algorithm for nonconvex piecewise linear network flow problems
    • Kim, D. and Pardalos, P.M. (2000a), A dynamic domain contraction algorithm for nonconvex piecewise linear network flow problems, Journal of Global Optimization, 17, 225-234.
    • (2000) Journal of Global Optimization , vol.17 , pp. 225-234
    • Kim, D.1    Pardalos, P.M.2
  • 18
    • 0034178966 scopus 로고    scopus 로고
    • Dynamic slope scaling and trust interval techniques for solving concave piecewise linear network flow problems
    • Kim, D. and Pardalos, P.M. (2000b), Dynamic slope scaling and trust interval techniques for solving concave piecewise linear network flow problems, Networks, 35, 216-222.
    • (2000) Networks , vol.35 , pp. 216-222
    • Kim, D.1    Pardalos, P.M.2
  • 19
    • 0036439218 scopus 로고    scopus 로고
    • Solving fixed-charge network flow problems with a hybrid optimization and constraint programming approach
    • Kim, H.-J. and Hooker, J. (2002), Solving fixed-charge network flow problems with a hybrid optimization and constraint programming approach, Annals of Operations Research, 115, 95-124.
    • (2002) Annals of Operations Research , vol.115 , pp. 95-124
    • Kim, H.-J.1    Hooker, J.2
  • 20
    • 0002260188 scopus 로고
    • A method for solving network flow problems with general non-linear arc costs
    • Du, D.-Z. and Pardalos, P.M. (eds.), World Scientific, Singapore
    • Lamar, B.W. (1993), A method for solving network flow problems with general non-linear arc costs, In Du, D.-Z. and Pardalos, P.M. (eds.), Network Optimization Problems, World Scientific, Singapore.
    • (1993) Network Optimization Problems
    • Lamar, B.W.1
  • 21
    • 2142793094 scopus 로고    scopus 로고
    • A branch-and-cut algorithm for the single-commodity, uncapacitated, fixed-charge network flow problem
    • Ortega, F. and Wolsey, L.A. (2003), A branch-and-cut algorithm for the single-commodity, uncapacitated, fixed-charge network flow problem, Networks, 41, 143-158.
    • (2003) Networks , vol.41 , pp. 143-158
    • Ortega, F.1    Wolsey, L.A.2
  • 22
    • 0000295676 scopus 로고
    • Minimum concave cost flows in certain networks
    • Zangwill, W.I. (1968), Minimum concave cost flows in certain networks, Management Science, 14, 429-450.
    • (1968) Management Science , vol.14 , pp. 429-450
    • Zangwill, W.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.