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Volumn 19, Issue 2, 2001, Pages 121-139

Linear Approximations in a Dynamic Programming Approach for the Uncapacitated Single-Source Minimum Concave Cost Network Flow Problem in Acyclic Networks

Author keywords

Concave costs; Convergence; Dynamic programming; Linear approximation; Uncapacitated single source acyclic networks

Indexed keywords


EID: 0348238284     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008379621400     Document Type: Article
Times cited : (17)

References (14)
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  • 5
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    • Guisewite, G.M.1    Pardalos, P.M.2
  • 6
    • 0012863459 scopus 로고
    • Algorithms for the single-source uncapacitated minimum concave-cost network flow problem
    • Guisewite, G.M. and Pardalos, P.M. (1991), Algorithms for the single-source uncapacitated minimum concave-cost network flow problem. Journal of Global Optimization 1: 245-265.
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    • Guisewite, G.M.1    Pardalos, P.M.2
  • 8
    • 0032640670 scopus 로고    scopus 로고
    • A solution approach to the fixed charge network flow problem using a dynamic slope scaling procedure
    • Kim, D. and Pardalos, P.M. (1999), A solution approach to the fixed charge network flow problem using a dynamic slope scaling procedure, Operations Research Letters 24: 195-203.
    • (1999) Operations Research Letters , vol.24 , pp. 195-203
    • Kim, D.1    Pardalos, P.M.2
  • 9
    • 0034178966 scopus 로고    scopus 로고
    • Dynamic slope scaling and trust interval techniques for solving concave piecewise linear network flow problems
    • Kim, D. and Pardalos, P.M. (2000), Dynamic slope scaling and trust interval techniques for solving concave piecewise linear network flow problems, Networks 35: 216-222.
    • (2000) Networks , vol.35 , pp. 216-222
    • Kim, D.1    Pardalos, P.M.2
  • 10
    • 0042018344 scopus 로고
    • Minimum concave-cost network flow problems with a single nonlinear arc cost
    • P. Pardalos and D. Du (eds.), World Scientific
    • Klinz, B. and Tuy, H. (1993), Minimum concave-cost network flow problems with a single nonlinear arc cost, in: P. Pardalos and D. Du (eds.), Network Optimization Problems, World Scientific, pp. 125-143.
    • (1993) Network Optimization Problems , pp. 125-143
    • Klinz, B.1    Tuy, H.2
  • 11
    • 0347487622 scopus 로고    scopus 로고
    • The minimum concave-cost network flow problem with a fixed number of nonlinear arc costs: Complexity and approximation
    • P.M. Pardalos (ed.), Kluwer Academic Publishers
    • Tuy, H. (2000), The minimum concave-cost network flow problem with a fixed number of nonlinear arc costs: complexity and approximation, in: P.M. Pardalos (ed.), Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems, Kluwer Academic Publishers, pp. 383-402.
    • (2000) Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems , pp. 383-402
    • Tuy, H.1
  • 12
    • 0006763479 scopus 로고    scopus 로고
    • A strongly polynomial algorithm for a concave production-transportation problem with a fixed number of nonlinear variables
    • Tuy, H., Ghannadan, S., Migdalas, A. and Värbrand, P. (1996), A strongly polynomial algorithm for a concave production-transportation problem with a fixed number of nonlinear variables, Mathematical Programming 72: 229-258.
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    • Tuy, H.1    Ghannadan, S.2    Migdalas, A.3    Värbrand, P.4
  • 14
    • 0000295676 scopus 로고
    • Minimum concave cost flows in certain networks
    • Zangwill, W.I. (1968), Minimum concave cost flows in certain networks, Management Science 14: 429-450.
    • (1968) Management Science , vol.14 , pp. 429-450
    • Zangwill, W.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.