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Volumn 113, Issue 2, 2002, Pages 373-397

New bundle methods for solving Lagrangian relaxation dual problems

Author keywords

bundle methods; Lagrangian relaxation; manufacturing scheduling; nonsmooth optimization

Indexed keywords

DYNAMIC PROGRAMMING; FUZZY INFERENCE; INTEGER PROGRAMMING; JOB SHOP SCHEDULING; LAGRANGE MULTIPLIERS; PROBLEM SOLVING;

EID: 0036250973     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014839227049     Document Type: Article
Times cited : (28)

References (14)
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  • 4
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    • Efficient Lagrangian Relaxation Algorithms for Industry Size Job-Shop Scheduling Problems
    • KASKAVELIS, C. A., and CARAMANIS, M. C., Efficient Lagrangian Relaxation Algorithms for Industry Size Job-Shop Scheduling Problems, IIE Transactions, Vol. 30, pp. 1085-1097, 1998.
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  • 8
    • 0030304777 scopus 로고    scopus 로고
    • Restricted Step and Levenberg-Marquardt Techniques in Proximal Bundle Methods for Nonconvex Nondifferentiable Optimization
    • KIWIEL, K. C., Restricted Step and Levenberg-Marquardt Techniques in Proximal Bundle Methods for Nonconvex Nondifferentiable Optimization, SIAM Journal on Optimization, Vol. 6, pp. 227-249, 1996.
    • (1996) SIAM Journal on Optimization , vol.6 , pp. 227-249
    • Kiwiel, K.C.1
  • 9
    • 0031140531 scopus 로고    scopus 로고
    • An Optimization Algorithm for the Vehicle Routing Problem with Time Windows Based on Lagrangian Relaxation
    • KOHL, N. and MADSEN, O. B. G., An Optimization Algorithm for the Vehicle Routing Problem with Time Windows Based on Lagrangian Relaxation, Operations Research, Vol. 45, pp. 395-406, 1997.
    • (1997) Operations Research , vol.45 , pp. 395-406
    • Kohl, N.1    Madsen, O.B.G.2
  • 10
    • 0032222087 scopus 로고    scopus 로고
    • Quasi-Newton Bundle-Type Methods for Non-differentiable Convex Optimization
    • MIFFLIN, R., SUN, D., and QI, L., Quasi-Newton Bundle-Type Methods for Non-differentiable Convex Optimization, SIAM Journal on Optimization, Vol. 8, pp. 583-603, 1998.
    • (1998) SIAM Journal on Optimization , vol.8 , pp. 583-603
    • Mifflin, R.1    Sun, D.2    Qi, L.3
  • 11
    • 0031121735 scopus 로고    scopus 로고
    • An Optimization-Based Algorithm for Job Shop Scheduling
    • WANG, J., LUH, P. B., ZHAO, X., and WANG, J., An Optimization-Based Algorithm for Job Shop Scheduling, Sadhana, Vol. 22, pp. 241-256, 1997.
    • (1997) Sadhana , vol.22 , pp. 241-256
    • Wang, J.1    Luh, P.B.2    Zhao, X.3    Wang, J.4
  • 12
    • 84954213764 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • BELLMAN, R., Applied Dynamic Programming, Princeton University Press, Princeton, New Jersey, 1957.
    • (1957) Applied Dynamic Programming
    • Bellman, R.1
  • 13
    • 0029336239 scopus 로고
    • Proximal Level Bundle Methods for Convex Nondifferentiable Optimization, Saddle-Point Problems, and Variational Inequalities
    • KIWIEL, K. C., Proximal Level Bundle Methods for Convex Nondifferentiable Optimization, Saddle-Point Problems, and Variational Inequalities, Mathematical Programming, Vol. 69, pp. 89-109, 1995.
    • (1995) Mathematical Programming , vol.69 , pp. 89-109
    • Kiwiel, K.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.