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Volumn 20, Issue 2, 2009, Pages 293-304

The performance of the modified subgradient algorithm on solving the 0-1 quadratic knapsack problem

Author keywords

Integer programming; MSG; Quadratic knapsack problem; Sharp augmented lagrangian function

Indexed keywords


EID: 67651225583     PISSN: 08684952     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (24)
  • 2
    • 0003713964 scopus 로고
    • Athena Scientific, Belmont, Massachusetts
    • Bertsekas, D.P. (1995). Nonlinear Programming, Athena Scientific, Belmont, Massachusetts.
    • (1995) Nonlinear Programming
    • Bertsekas, D.P.1
  • 4
    • 2342629965 scopus 로고    scopus 로고
    • An exact method based on Lagrangean decomposition for the 0-1 quadratic knapsack problem
    • Billionnet, A., and E. Soutif (2003). An exact method based on Lagrangean decomposition for the 0-1 quadratic knapsack problem, European Journal of Operational Research, 157(3), 565-575.
    • (2003) European Journal of Operational Research , vol.157 , Issue.3 , pp. 565-575
    • Billionnet, A.1    Soutif, E.2
  • 5
    • 0031075148 scopus 로고    scopus 로고
    • Quadratic resource allocation with generalized upper bounds
    • Bretthauer, K.M., and B. Shetty (1997). Quadratic resource allocation with generalized upper bounds. Operations Research Letters, 20, 51-57.
    • (1997) Operations Research Letters , vol.20 , pp. 51-57
    • Bretthauer, K.M.1    Shetty, B.2
  • 6
    • 57249108749 scopus 로고    scopus 로고
    • An update rule and a convergence result for a penalty function method
    • Burachik, R.S., and C.Y. Kaya (2007). An update rule and a convergence result for a penalty function method. Journal of Industrial Management and Optimization, 3(2), 381-398.
    • (2007) Journal of Industrial Management and Optimization , vol.3 , Issue.2 , pp. 381-398
    • Burachik, R.S.1    Kaya, C.Y.2
  • 7
    • 29144490009 scopus 로고    scopus 로고
    • On a modified subgradient algorithm for dual problems via sharp augmented Lagrangian
    • Burachik, R.S., R. Gasimov, N. Ismayilova and C.Y. Kaya (2006). On a modified subgradient algorithm for dual problems via sharp augmented Lagrangian, Journal of Global Optimization, 34(1), 55-78.
    • (2006) Journal of Global Optimization , vol.34 , Issue.1 , pp. 55-78
    • Burachik, R.S.1    Gasimov, R.2    Ismayilova, N.3    Kaya, C.Y.4
  • 8
    • 77249134734 scopus 로고    scopus 로고
    • Burachik, R.S., C.Y. Kaya and M. Mammadov (in press). An inexact modified subgradient algorithm for nonconvex optimization, Computational Optimization and Applications. Published online: 29 Jan 2008, DOI: 10.1007/s10589-008- 9168-7.
    • Burachik, R.S., C.Y. Kaya and M. Mammadov (in press). An inexact modified subgradient algorithm for nonconvex optimization, Computational Optimization and Applications. Published online: 29 Jan 2008, DOI: 10.1007/s10589-008- 9168-7.
  • 12
    • 31244436918 scopus 로고    scopus 로고
    • Augmented Lagrangean duality and nondifferantiable optimization methods in non-convex programming
    • Gasimov, R. (2002). Augmented Lagrangean duality and nondifferantiable optimization methods in non-convex programming. Journal of Global Optimization, 24, 187-203.
    • (2002) Journal of Global Optimization , vol.24 , pp. 187-203
    • Gasimov, R.1
  • 13
    • 57249117048 scopus 로고    scopus 로고
    • Solving the quadratic assignment problems using modified subgradient algorithm
    • M.B. Durmusoglu, C. Kahraman Eds, Istanbul, Turkey. pp
    • Gasimov, R.N., and O. Ustun (2005). Solving the quadratic assignment problems using modified subgradient algorithm. In M.B. Durmusoglu, C. Kahraman (Eds.). Proceedings of 35th International Conference on Computers & Industrial Engineering, Istanbul, Turkey. pp. 757-762.
    • (2005) Proceedings of 35th International Conference on Computers & Industrial Engineering , pp. 757-762
    • Gasimov, R.N.1    Ustun, O.2
  • 14
    • 1542285815 scopus 로고    scopus 로고
    • On augmented Lagrangeans for optimization problems with a single constraint
    • Gasimov, R.N., and A.M. Rubinov (2004). On augmented Lagrangeans for optimization problems with a single constraint. Journal of Global Optimization, 28(2), 153-173.
    • (2004) Journal of Global Optimization , vol.28 , Issue.2 , pp. 153-173
    • Gasimov, R.N.1    Rubinov, A.M.2
  • 17
    • 0035341802 scopus 로고    scopus 로고
    • A Lagrangean relaxation approach to the edge-weighted clique problem
    • Hunting, M., U. Faigle, W. Kern (2001). A Lagrangean relaxation approach to the edge-weighted clique problem, European Journal of Operational Research, 131, 119-131.
    • (2001) European Journal of Operational Research , vol.131 , pp. 119-131
    • Hunting, M.1    Faigle, U.2    Kern, W.3
  • 20
    • 0032659908 scopus 로고    scopus 로고
    • Zero duality gap in integer programming: P-norm surrogate constraint method
    • Li, D. (1999). Zero duality gap in integer programming: P-norm surrogate constraint method. Operations Research Letters, 25, 89-96.
    • (1999) Operations Research Letters , vol.25 , pp. 89-96
    • Li, D.1
  • 21
    • 0026897160 scopus 로고
    • An approximate method for local optima for nonlinear mixed integer programming problems
    • Li, H.L. (1992). An approximate method for local optima for nonlinear mixed integer programming problems. Computers and Operations Research, 19(5), 435-444.
    • (1992) Computers and Operations Research , vol.19 , Issue.5 , pp. 435-444
    • Li, H.L.1
  • 22
    • 0042353752 scopus 로고    scopus 로고
    • Fast equi-partitioning of rectangular domains using stripe decomposition
    • Martin, W. (1998). Fast equi-partitioning of rectangular domains using stripe decomposition. Discrete Applied Mathematics, 82, 193-207.
    • (1998) Discrete Applied Mathematics , vol.82 , pp. 193-207
    • Martin, W.1
  • 23
    • 0001149611 scopus 로고
    • Lagrangean methods for 0-1 quadratic problems
    • Michelon, P., and N. Maculan (1993). Lagrangean methods for 0-1 quadratic problems. Discrete Applied Mathematics, 42, 257-269.
    • (1993) Discrete Applied Mathematics , vol.42 , pp. 257-269
    • Michelon, P.1    Maculan, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.