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Volumn 50, Issue 1, 2007, Pages 17-28

Network design arc set with variable upper bounds

Author keywords

Cutting planes; Flow covers; Mixed integer rounding; Network design

Indexed keywords

ELECTRIC ARCS; INTEGER PROGRAMMING; NETWORKS (CIRCUITS);

EID: 34547771778     PISSN: 00283045     EISSN: 10970037     Source Type: Journal    
DOI: 10.1002/net.20162     Document Type: Article
Times cited : (18)

References (29)
  • 1
    • 0035476152 scopus 로고    scopus 로고
    • Flow pack facets of the single node fixed-charge flow polytope
    • A. Atamtürk, Flow pack facets of the single node fixed-charge flow polytope, Oper Res Lett 29 (2001), 107-114.
    • (2001) Oper Res Lett , vol.29 , pp. 107-114
    • Atamtürk, A.1
  • 2
    • 0012649845 scopus 로고    scopus 로고
    • On capacitated network design cut-set polyhedra
    • A. Atamtürk, On capacitated network design cut-set polyhedra, Math Program 92 (2002), 425-137.
    • (2002) Math Program , vol.92 , pp. 425-137
    • Atamtürk, A.1
  • 3
    • 3042514606 scopus 로고    scopus 로고
    • On the facets of the mixed-integer knapsack polyhedron
    • A. Atamtürk, On the facets of the mixed-integer knapsack polyhedron, Math Program 98 (2003), 145-175.
    • (2003) Math Program , vol.98 , pp. 145-175
    • Atamtürk, A.1
  • 4
    • 10844248146 scopus 로고    scopus 로고
    • Sequence independent lifting for mixed-integer programming
    • A. Atamtürk, Sequence independent lifting for mixed-integer programming, Oper Res 52 (2004), 487-490.
    • (2004) Oper Res , vol.52 , pp. 487-490
    • Atamtürk, A.1
  • 5
    • 34547786216 scopus 로고    scopus 로고
    • Network design arc set with variable upper bounds
    • RC23598, 2005
    • A. Atamtürk and O. Günlük, Network design arc set with variable upper bounds, IBM Research Report, RC23598, 2005.
    • IBM Research Report
    • Atamtürk, A.1    Günlük, O.2
  • 6
    • 0038791302 scopus 로고    scopus 로고
    • On splittable and unsplittable flow capacitated network design arc-set polyhedra
    • A. Atamtürk and D. Rajan, On splittable and unsplittable flow capacitated network design arc-set polyhedra, Math Program 92(2002), 315-333.
    • (2002) Math Program , vol.92 , pp. 315-333
    • Atamtürk, A.1    Rajan, D.2
  • 7
    • 34250395123 scopus 로고
    • Facets of the knapsack polytope
    • E. Balas, Facets of the knapsack polytope, Math Program 8 (1975), 146-164.
    • (1975) Math Program , vol.8 , pp. 146-164
    • Balas, E.1
  • 8
    • 0000511675 scopus 로고
    • Facets of the knapsack polytope from minimal covers
    • E. Balas and E. Zemel, Facets of the knapsack polytope from minimal covers, SIAM J Appl Math 34 (1978), 119-148.
    • (1978) SIAM J Appl Math , vol.34 , pp. 119-148
    • Balas, E.1    Zemel, E.2
  • 9
    • 0001237931 scopus 로고    scopus 로고
    • Capacitated network designPolyhedral structure and computation
    • D. Bienstock and Günlük, Capacitated network designPolyhedral structure and computation, INFORMS J Comput 8 (1996), 243-259.
    • (1996) INFORMS J Comput , vol.8 , pp. 243-259
    • Bienstock, D.1    Günlük2
  • 11
    • 0000660003 scopus 로고    scopus 로고
    • Cover inequalities for 0-1 integer programs: Computation
    • Z. Gu, G.L. Nemhauser, and M.W.P. Savelsbergh, Cover inequalities for 0-1 integer programs: Computation, INFOMRS J Comput 10 (1998), 427-437.
    • (1998) INFOMRS J Comput , vol.10 , pp. 427-437
    • Gu, Z.1    Nemhauser, G.L.2    Savelsbergh, M.W.P.3
  • 12
    • 0242463701 scopus 로고    scopus 로고
    • Cover inequalities for 0-1 integer programs: Complexity
    • Z. Gu, G.L. Nemhauser, and M.W.P. Savelsbergh, Cover inequalities for 0-1 integer programs: Complexity, INFORMS J Comput 11 (1999), 117-123.
    • (1999) INFORMS J Comput , vol.11 , pp. 117-123
    • Gu, Z.1    Nemhauser, G.L.2    Savelsbergh, M.W.P.3
  • 13
    • 0000788402 scopus 로고    scopus 로고
    • Lifted flow cover inequalities for mixed 0-1 integer programs
    • Z. Gu, G.L. Nemhauser, and M.W.P. Savelsbergh, Lifted flow cover inequalities for mixed 0-1 integer programs, Math Program 85 (1999), 439-467.
    • (1999) Math Program , vol.85 , pp. 439-467
    • Gu, Z.1    Nemhauser, G.L.2    Savelsbergh, M.W.P.3
  • 14
    • 0043186220 scopus 로고    scopus 로고
    • Sequence independent lifting in mixed integer programming
    • Z. Gu, G.L. Nemhauser, and M.W.P. Savelsbergh, Sequence independent lifting in mixed integer programming, J Combin Optim 4 (2000), 109-129.
    • (2000) J Combin Optim , vol.4 , pp. 109-129
    • Gu, Z.1    Nemhauser, G.L.2    Savelsbergh, M.W.P.3
  • 16
    • 0036873869 scopus 로고    scopus 로고
    • A polyhedral study of integer variable upper bounds
    • D. Klabjan and G.L. Nemhauser, A polyhedral study of integer variable upper bounds, Math Oper Res 27 (2002), 711-739.
    • (2002) Math Oper Res , vol.27 , pp. 711-739
    • Klabjan, D.1    Nemhauser, G.L.2
  • 18
    • 0001770643 scopus 로고
    • The convex hull of two core capacitated network design problems
    • T.L. Magnanti, P. Mirchandani, and R. Vachani, The convex hull of two core capacitated network design problems, Math Program 60 (1993), 233-250.
    • (1993) Math Program , vol.60 , pp. 233-250
    • Magnanti, T.L.1    Mirchandani, P.2    Vachani, R.3
  • 19
    • 0035328755 scopus 로고    scopus 로고
    • Aggregation and mixed integer rounding to solve MIPs
    • H. Marchand and L.A. Wolsey, Aggregation and mixed integer rounding to solve MIPs, Oper Res 49 (2001), 363-371.
    • (2001) Oper Res , vol.49 , pp. 363-371
    • Marchand, H.1    Wolsey, L.A.2
  • 20
    • 0000689851 scopus 로고
    • A recursive procedure for generating all cuts for 0-1 mixed integer programs
    • G.L. Nemhauser and L.A. Wolsey, A recursive procedure for generating all cuts for 0-1 mixed integer programs, Math Program 46 (1990), 379-390.
    • (1990) Math Program , vol.46 , pp. 379-390
    • Nemhauser, G.L.1    Wolsey, L.A.2
  • 21
    • 0000214393 scopus 로고
    • A note on 0-1 programming
    • M.W.Padberg, A note on 0-1 programming, Oper Res 23 (1979), 833-837.
    • (1979) Oper Res , vol.23 , pp. 833-837
    • Padberg, M.W.1
  • 22
    • 0022099739 scopus 로고    scopus 로고
    • M.W Padberg, T.. Van Roy, and L.A. Wolsey, Valid linear inequalities for fixed charge problems, Oper Res 32 (1984), 842-861.
    • M.W Padberg, T.. Van Roy, and L.A. Wolsey, Valid linear inequalities for fixed charge problems, Oper Res 32 (1984), 842-861.
  • 23
    • 0003091016 scopus 로고    scopus 로고
    • The complementary class of generalized flow cover inequalities
    • J.I.A. Stallaert, The complementary class of generalized flow cover inequalities, Discrete Appl Math 77 (1997), 73-80.
    • (1997) Discrete Appl Math , vol.77 , pp. 73-80
    • Stallaert, J.I.A.1
  • 24
    • 18844408900 scopus 로고    scopus 로고
    • S.P.M. van Hoesel, A.M.C.A. Koster, R.L.M., van de Leensel, and M.W.P. Savelsbergh, Polyhedral results for the edge capacity polytope, Math Program 92 (2002), 335-358.
    • S.P.M. van Hoesel, A.M.C.A. Koster, R.L.M., van de Leensel, and M.W.P. Savelsbergh, Polyhedral results for the edge capacity polytope, Math Program 92 (2002), 335-358.
  • 25
    • 34250395041 scopus 로고
    • Faces for linear inequality in 0-1 variables
    • L.A. Wolsey, Faces for linear inequality in 0-1 variables, Math Program 8 (1975), 165-178.
    • (1975) Math Program , vol.8 , pp. 165-178
    • Wolsey, L.A.1
  • 26
    • 0000413764 scopus 로고
    • Facets and strong valid inequalities for integer programs
    • L.A. Wolsey, Facets and strong valid inequalities for integer programs, Oper Res 24 (1976), 367-372.
    • (1976) Oper Res , vol.24 , pp. 367-372
    • Wolsey, L.A.1
  • 28
    • 34250287176 scopus 로고
    • Lifting the facets of zero-one polytopes
    • E. Zemel, Lifting the facets of zero-one polytopes, Math Program 15 (1978), 268-277.
    • (1978) Math Program , vol.15 , pp. 268-277
    • Zemel, E.1
  • 29
    • 0000271159 scopus 로고
    • Easily computable facets of the knapsack polytope
    • E. Zemel, Easily computable facets of the knapsack polytope, Math Oper Res 14 (1989), 760-764.
    • (1989) Math Oper Res , vol.14 , pp. 760-764
    • Zemel, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.