메뉴 건너뛰기




Volumn 49, Issue 9, 2003, Pages 1268-1273

A Comparison of Mixed-Integer Programming Models for Nonconvex Piecewise Linear Cost Minimization Problems

Author keywords

Integer Programming; Lagrangian Relaxation; Linear Relaxation; Piecewise Linear

Indexed keywords

APPROXIMATION THEORY; COSTS; INTEGER PROGRAMMING; LAGRANGE MULTIPLIERS; LINEAR PROGRAMMING; MATHEMATICAL MODELS; OPTIMIZATION; PIECEWISE LINEAR TECHNIQUES; RELAXATION PROCESSES;

EID: 0142095169     PISSN: 00251909     EISSN: None     Source Type: Journal    
DOI: 10.1287/mnsc.49.9.1268.16570     Document Type: Article
Times cited : (179)

References (22)
  • 1
    • 38149148393 scopus 로고
    • Modeling piecewise linear concave costs in a tree partitioning problem
    • Aghezzaf E. H., L. A. Wolsey. 1994. Modeling piecewise linear concave costs in a tree partitioning problem. Discrete Appl. Math. 50 101-109.
    • (1994) Discrete Appl. Math. , vol.50 , pp. 101-109
    • Aghezzaf, E.H.1    Wolsey, L.A.2
  • 2
    • 84987049372 scopus 로고
    • A composite algorithm for a concave-cost network flow problem
    • Balakrishnan, A., S. Graves. 1989. A composite algorithm for a concave-cost network flow problem. Networks 19 175-202.
    • (1989) Networks , vol.19 , pp. 175-202
    • Balakrishnan, A.1    Graves, S.2
  • 3
    • 0001237931 scopus 로고    scopus 로고
    • Capacitated network design-polyhedral structure and computation
    • Bienstock, D., O. Günlük. 1996. Capacitated network design-polyhedral structure and computation. INFORMS J. Comput. 8 243-259.
    • (1996) INFORMS J. Comput. , vol.8 , pp. 243-259
    • Bienstock, D.1    Günlük, O.2
  • 4
    • 2142840364 scopus 로고    scopus 로고
    • Supply chain management: Integrating inventory and transportation
    • Northwestern University, Evanston, IL
    • Chan, L., A. Muriel, D. Simchi-Levi. 1997. Supply chain management: Integrating inventory and transportation. Working paper, Northwestern University, Evanston, IL.
    • (1997) Working Paper
    • Chan, L.1    Muriel, A.2    Simchi-Levi, D.3
  • 5
    • 0012329340 scopus 로고    scopus 로고
    • A branch & bound method for minimum concave cost network flows based on sensitivity analysis
    • Universidad de Chile, Santiago, Chile
    • Cominetti, R., F. Ortega. 1997. A branch & bound method for minimum concave cost network flows based on sensitivity analysis. Working paper, Universidad de Chile, Santiago, Chile.
    • (1997) Working Paper
    • Cominetti, R.1    Ortega, F.2
  • 7
    • 0037294066 scopus 로고    scopus 로고
    • Models and methods for merge-in-transit operations
    • _, B. Gendron, T. L. Magnanti. 2002a. Models and methods for merge-in-transit operations. Transportation Sci. 37 1-22.
    • (2002) Transportation Sci. , vol.37 , pp. 1-22
    • Gendron, B.1    Magnanti, T.L.2
  • 8
    • 0142032272 scopus 로고    scopus 로고
    • Variable disaggregation in network flow problems with piecewise linear costs
    • Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA
    • _, _, _. 2002b. Variable disaggregation in network flow problems with piecewise linear costs. Working paper, Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA.
    • (2002) Working Paper
  • 9
    • 0142032271 scopus 로고    scopus 로고
    • A comparison of mixed-integer programming models for non-convex piecewise linear cost minimization problems
    • Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA
    • _, _, _. 2002c. A comparison of mixed-integer programming models for non-convex piecewise linear cost minimization problems. Working paper, Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA.
    • (2002) Working Paper
  • 10
    • 0008644215 scopus 로고
    • On the significance of solving linear programming problems with some integer variables
    • Dantzig, G. B. 1960. On the significance of solving linear programming problems with some integer variables. Econometrica 28 30-44.
    • (1960) Econometrica , vol.28 , pp. 30-44
    • Dantzig, G.B.1
  • 11
    • 0003909736 scopus 로고
    • Princeton University Press, Princeton, NJ
    • _. 1963. Linear Programming and Extensions. Princeton University Press, Princeton, NJ.
    • (1963) Linear Programming and Extensions
  • 12
    • 0001759710 scopus 로고
    • Lagrange multipliers and nonconvex programs
    • Falk, J. E. 1969. Lagrange multipliers and nonconvex programs. SIAM J. Control 7 534-545.
    • (1969) SIAM J. Control , vol.7 , pp. 534-545
    • Falk, J.E.1
  • 13
    • 0001423319 scopus 로고
    • An algorithm for separable nonconvex programming problems
    • _, R. M. Soland. 1969. An algorithm for separable nonconvex programming problems. Management Sci. 15 550-569.
    • (1969) Management Sci. , vol.15 , pp. 550-569
    • Soland, R.M.1
  • 14
    • 0032687473 scopus 로고    scopus 로고
    • Exact solution of multi-commodity network optimization problems with general step cost functions
    • Gabrel, V., A. Knippel, M. Minoux. 1999. Exact solution of multi-commodity network optimization problems with general step cost functions. Oper. Res. Lett. 25 15-23.
    • (1999) Oper. Res. Lett. , vol.25 , pp. 15-23
    • Gabrel, V.1    Knippel, A.2    Minoux, M.3
  • 15
    • 0002554041 scopus 로고
    • Lagrangean relaxation for integer programming
    • Geoffrion, A. M. 1974. Lagrangean relaxation for integer programming. Math. Programming Stud. 2 82-114.
    • (1974) Math. Programming Stud. , vol.2 , pp. 82-114
    • Geoffrion, A.M.1
  • 16
    • 0001774148 scopus 로고    scopus 로고
    • A branch-and-cut algorithm for capacitated network design problems
    • Günlük, O. 1999. A branch-and-cut algorithm for capacitated network design problems. Math. Programming A86 17-39.
    • (1999) Math. Programming , vol.A86 , pp. 17-39
    • Günlük, O.1
  • 18
    • 0028427654 scopus 로고
    • Solving the staircase cost facility location problem with decomposition and piecewise linearization
    • Holmberg, K. 1994. Solving the staircase cost facility location problem with decomposition and piecewise linearization. Eur. J. Oper. Res. 75 41-61.
    • (1994) Eur. J. Oper. Res. , vol.75 , pp. 41-61
    • Holmberg, K.1
  • 19
    • 0031076353 scopus 로고    scopus 로고
    • A Lagrangan heuristic for the facility location problem with staircase costs
    • _, J. Ling. 1997. A Lagrangan heuristic for the facility location problem with staircase costs. Eur. J. Oper. Res. 97 63-74.
    • (1997) Eur. J. Oper. Res. , vol.97 , pp. 63-74
    • Ling, J.1
  • 20
    • 0001258594 scopus 로고
    • Modeling and solving the two-facility capacitated network loading problem
    • Magnanti, T. L., P. Mirchandani, R. Vachani. 1995. Modeling and solving the two-facility capacitated network loading problem. Oper. Res. 43 142-157.
    • (1995) Oper. Res. , vol.43 , pp. 142-157
    • Magnanti, T.L.1    Mirchandani, P.2    Vachani, R.3
  • 21
    • 0007797750 scopus 로고
    • On the solution of discrete programming problems
    • Manne, A. S., H. M. Markowitz. 1957. On the solution of discrete programming problems. Econometrica 25 84-110.
    • (1957) Econometrica , vol.25 , pp. 84-110
    • Manne, A.S.1    Markowitz, H.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.