메뉴 건너뛰기




Volumn 42, Issue 4, 2008, Pages 443-466

Branch-and-price-and-cut algorithms for solving the reliable h-paths problem

Author keywords

Branch and price and cut; Network optimization; Nonconvex optimization; Reliability

Indexed keywords

CAVITY RESONATORS; COMPUTER NETWORKS; COSTS; MATHEMATICAL MODELS; NETWORK PROTOCOLS; OPTIMIZATION; PROBABILITY; RELIABILITY; SENSOR NETWORKS;

EID: 54949117240     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1007/s10898-007-9254-x     Document Type: Article
Times cited : (19)

References (24)
  • 3
    • 0024858472 scopus 로고
    • Probabilistic shortest path problems with budgetary constraints
    • 2
    • J.F. Bard J.L. Miller 1989 Probabilistic shortest path problems with budgetary constraints Comput. Oper. Res. 16 2 145 159
    • (1989) Comput. Oper. Res. , vol.16 , pp. 145-159
    • Bard, J.F.1    Miller, J.L.2
  • 4
    • 34249766680 scopus 로고
    • A column generation and partitioning approach for multi-commodity flow problems
    • C. Barnhart C.A. Hane E.L. Johnson G. Sigismondi 1995 A column generation and partitioning approach for multi-commodity flow problems Telecommun. Syst. 3 239 258
    • (1995) Telecommun. Syst. , vol.3 , pp. 239-258
    • Barnhart, C.1    Hane, C.A.2    Johnson, E.L.3    Sigismondi, G.4
  • 5
    • 0034156185 scopus 로고    scopus 로고
    • Using branch-and-price-and-cut to solve origin-destination integer multicommodity flow problems
    • 2
    • C. Barnhart C.A. Hane P.H. Vance 2000 Using branch-and-price-and-cut to solve origin-destination integer multicommodity flow problems Oper. Res. 48 2 318 326
    • (2000) Oper. Res. , vol.48 , pp. 318-326
    • Barnhart, C.1    Hane, C.A.2    Vance, P.H.3
  • 7
    • 0002144209 scopus 로고
    • A generalized permanent labelling algorithm for the shortest path problem with time windows
    • 3
    • M. Desrochers F. Soumis 1988 A generalized permanent labelling algorithm for the shortest path problem with time windows INFOR 26 3 191 212
    • (1988) INFOR , vol.26 , pp. 191-212
    • Desrochers, M.1    Soumis, F.2
  • 9
    • 34147120474 scopus 로고
    • A note on two problems in connexion with graphs
    • E.W. Dijkstra 1959 A note on two problems in connexion with graphs Numerische Mathematik 1 269 271
    • (1959) Numerische Mathematik , vol.1 , pp. 269-271
    • Dijkstra, E.W.1
  • 10
    • 0012574470 scopus 로고    scopus 로고
    • Algorithms for the weight constrained shortest path problem
    • I. Dumitrescu N. Boland 2001 Algorithms for the weight constrained shortest path problem Int. Trans. Oper. Res. 8 15 29
    • (2001) Int. Trans. Oper. Res. , vol.8 , pp. 15-29
    • Dumitrescu, I.1    Boland, N.2
  • 11
    • 2142673126 scopus 로고    scopus 로고
    • Improved preprocessing, labeling and scaling algorithms for the weight-constrained shortest path problem
    • 3
    • I. Dumitrescu N. Boland 2003 Improved preprocessing, labeling and scaling algorithms for the weight-constrained shortest path problem Networks 42 3 135 153
    • (2003) Networks , vol.42 , pp. 135-153
    • Dumitrescu, I.1    Boland, N.2
  • 12
    • 0031332315 scopus 로고    scopus 로고
    • Case study: Two engineering applications of a constrained shortest-path model
    • A.A. Elimam D. Kohler 1997 Case study: Two engineering applications of a constrained shortest-path model Eur. J. Oper. Res. 103 426 438
    • (1997) Eur. J. Oper. Res. , vol.103 , pp. 426-438
    • Elimam, A.A.1    Kohler, D.2
  • 13
    • 0001423319 scopus 로고
    • An algorithm for separable nonconvex programming problems
    • J.E. Falk R.M. Soland 1969 An algorithm for separable nonconvex programming problems Manage. Sci. 15 550 569
    • (1969) Manage. Sci. , vol.15 , pp. 550-569
    • Falk, J.E.1    Soland, R.M.2
  • 15
    • 0021387904 scopus 로고
    • The threshold shortest path problem
    • F. Glover R. Glover D. Klingman 1984 The threshold shortest path problem Networks 14 25 36
    • (1984) Networks , vol.14 , pp. 25-36
    • Glover, F.1    Glover, R.2    Klingman, D.3
  • 16
    • 30344453380 scopus 로고    scopus 로고
    • Selected topics in column generation
    • 6
    • M.E. Lübbecke J. Desrosiers 2005 Selected topics in column generation Oper. Res. 53 6 1007 1023
    • (2005) Oper. Res. , vol.53 , pp. 1007-1023
    • Lübbecke, M.E.1    Desrosiers, J.2
  • 17
    • 0035494147 scopus 로고    scopus 로고
    • Improving discrete model representations via symmetry considerations
    • 10
    • H.D. Sherali J.C. Smith 2001 Improving discrete model representations via symmetry considerations Manage. Sci. 47 10 1396 1407
    • (2001) Manage. Sci. , vol.47 , pp. 1396-1407
    • Sherali, H.D.1    Smith, J.C.2
  • 18
    • 0001642333 scopus 로고
    • A global optimization algorithm for polynomial programming problems using a Reformulation-Linearization Technique
    • H.D. Sherali C.H. Tuncbilek 1992 A global optimization algorithm for polynomial programming problems using a Reformulation-Linearization Technique J. Global Optim. 2 101 112
    • (1992) J. Global Optim. , vol.2 , pp. 101-112
    • Sherali, H.D.1    Tuncbilek, C.H.2
  • 19
    • 0015955981 scopus 로고
    • Disjoint paths in a network
    • J.W. Suurballe 1974 Disjoint paths in a network Networks 4 125 145
    • (1974) Networks , vol.4 , pp. 125-145
    • Suurballe, J.W.1
  • 21
    • 54949124770 scopus 로고    scopus 로고
    • Working Paper, Applied Mathematics, University Bordeaux 1, F-33405 Talence Cedex, France
    • Vanderbeck, F.: Branching in branch-and-price: a generic scheme. Working Paper, Applied Mathematics, University Bordeaux 1, F-33405 Talence Cedex, France (2006)
    • (2006) Branching in Branch-and-price: A Generic Scheme
    • Vanderbeck, F.1
  • 22
    • 0030264417 scopus 로고    scopus 로고
    • An exact algorithm for IP column generation
    • F. Vanderbeck L.A. Wolsey 1996 An exact algorithm for IP column generation Oper. Res. Lett. 19 151 159
    • (1996) Oper. Res. Lett. , vol.19 , pp. 151-159
    • Vanderbeck, F.1    Wolsey, L.A.2
  • 23
    • 0038580048 scopus 로고    scopus 로고
    • A technical review of column generation in integer programming
    • W.E. Wilhelm 2001 A technical review of column generation in integer programming Optim. Eng. 2 159 200
    • (2001) Optim. Eng. , vol.2 , pp. 159-200
    • Wilhelm, W.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.