Search Results - Reverse Convex Programming Problem

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  1. 1

    Optimality conditions for DC programming problems with reverse convex constraints by Saeki, Yusuke, Kuroiwa, Daishi

    ISSN: 0362-546X, 1873-5215
    Published: Elsevier Ltd 01.03.2013
    Published in Nonlinear analysis (01.03.2013)
    “…In this paper, we give necessary and sufficient optimality conditions for DC programming problems with reverse convex constraints defined by a finite family of pseudoconvex functions…”
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    Journal Article
  2. 2

    A nonisolated optimal solution for special reverse convex programming problems by Shen, Pei-Ping, Chen, Yong-Qiang, Ma, Yuan

    ISSN: 0377-0427, 1879-1778
    Published: Kidlington Elsevier B.V 01.02.2009
    “…In this paper, an efficient algorithm is proposed for globally solving special reverse convex programming problems with more than one reverse convex constraints…”
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    Journal Article
  3. 3

    Feasible partition problem in reverse convex and convex mixed-integer programming by Obuchowska, Wiesława T.

    ISSN: 0377-2217, 1872-6860
    Published: Amsterdam Elsevier B.V 16.05.2014
    Published in European journal of operational research (16.05.2014)
    “…•We study the consistent partition problem in reverse convex and convex mixed-integer programming…”
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    Journal Article
  4. 4

    Generalized Semi-Infinite Programming: Optimality Conditions Involving Reverse Convex Problems by Aboussoror, Abdelmalek, Adly, Samir

    ISSN: 0163-0563, 1532-2467
    Published: Taylor & Francis Group 03.07.2014
    “…This article deals with a generalized semi-infinite programming problem (S). Under appropriate assumptions, for such a problem we give necessary and sufficient optimality conditions via reverse convex problems…”
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    Journal Article
  5. 5

    Inner Approximation Method for a Reverse Convex Programming Problem by Yamada, S., Tanino, T., Inuiguchi, M.

    ISSN: 0022-3239, 1573-2878
    Published: New York, NY Springer 01.11.2000
    “…In this paper, we consider a reverse convex programming problem constrained by a convex set and a reverse convex set, which is defined by the complement of the interior of a compact convex set X…”
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    Journal Article
  6. 6

    An inner approximation method incorporating with a penalty function method for a reverse convex programming problem by Yamada, Syuuji, Tanino, Tetsuzo, Inuiguchi, Masahiro

    ISSN: 0377-0427, 1879-1778
    Published: Amsterdam Elsevier B.V 01.09.2002
    “…In this paper, we consider a reverse convex programming problem constrained by a convex set and a reverse convex set which is defined by the complement of the interior of a compact convex set X…”
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    Journal Article Conference Proceeding
  7. 7

    An inner approximation method for a reverse convex programming problem by Yamada, S., Tanino, T., Inuiguchi, M., Tatsumi, K.

    ISBN: 9780780357310, 0780357310
    ISSN: 1062-922X
    Published: IEEE 20.01.2003
    “…In this paper, we consider a reverse convex programming problem constrained by a convex set and a reverse convex set which is defined by the complement of the interior of a compact convex set X…”
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    Conference Proceeding
  8. 8

    Some procedures for solving special max-min fractional rank-two reverse-convex programming problems by Doina Ionac, Ştefan Ţigan

    ISSN: 2457-6794, 2501-059X
    Published: Publishing House of the Romanian Academy 01.08.2004
    “… We show that a special bilinear fractional max-min reverse-convex program can be solved by a linear reverse-convex programming problem…”
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    Journal Article
  9. 9

    Some procedures for solving special max-min fractional rank-two reverse-convex programming problems by Doina Ionac, Ştefan Ţigan

    ISSN: 2457-6794, 2501-059X
    Published: Publishing House of the Romanian Academy 01.08.2004
    “… We show that a special bilinear fractional max-min reverse-convex program can be solved by a linear reverse-convex programming problem…”
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    Journal Article
  10. 10
  11. 11

    Extended reverse-convex programming: an approximate enumeration approach to global optimization by Bunin, Gene A.

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.06.2016
    Published in Journal of global optimization (01.06.2016)
    “… Unlike the traditional strategy of partitioning the decision-variable space employed in many branch-and-bound methods, the proposed approach approximates the NLP problem by a reverse-convex programming (RCP…”
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    Journal Article
  12. 12

    A Cutting Plane Algorithm for Linear Reverse Convex Programs by Moshirvaziri, Khosrow, Amouzegar, Mahyar A.

    ISSN: 0254-5330, 1572-9338
    Published: New York Springer Nature B.V 01.07.2001
    Published in Annals of operations research (01.07.2001)
    “… The main difficulty with this type of problem is the presence of the complicated reverse convex constraint, which destroys the convexity and possibly the connectivity of the feasible region, putting…”
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    Journal Article
  13. 13

    On Optimization over the Efficient Set in Linear Multicriteria Programming by 山本 芳嗣, Horst R., Thoai N.V., Yamamoto Yoshitsugu, Zenke D.

    ISSN: 0022-3239, 1573-2878
    Published: New York, NY Springer Verlag 01.09.2007
    “…\nby a reverse convex constraint of the form g(z) ≤ 0, where g is a concave\nfunction. Consequently, the problem of optimizing some real function over the efficient…”
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    Journal Article
  14. 14

    Duality and optimality conditions for reverse convex programs via a convex decomposition by Keraoui, Houda, Fatajou, Samir, Aboussoror, Abdelmalek

    ISSN: 0009-725X, 1973-4409
    Published: Cham Springer International Publishing 01.12.2023
    “…In this paper via the so-called Fenchel–Lagrange duality, we provide necessary local optimality conditions for a reverse convex programming problem ( P…”
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    Journal Article
  15. 15

    Convexification and Concavification for a General Class of Global Optimization Problems by Wu, Z. Y., Bai, F. S., Zhang, L. S.

    ISSN: 0925-5001, 1573-2916
    Published: Dordrecht Springer Nature B.V 01.01.2005
    Published in Journal of global optimization (01.01.2005)
    “… It is shown that these minimization problems can be transformed into equivalent concave minimization problem or reverse convex programming problem or canonical DC programming problem by using…”
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    Journal Article
  16. 16

    A deterministic global optimization algorithm for generalized geometric programming by Wang, Yanjun, Liang, Zhian

    ISSN: 0096-3003, 1873-5649
    Published: New York, NY Elsevier Inc 01.09.2005
    Published in Applied mathematics and computation (01.09.2005)
    “…). By utilizing some transformations, the initial non-convex problem is reduced to a reverse convex programming (RCP…”
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    Journal Article
  17. 17

    Optimal Relay Placement in Magnetic Induction-Based Internet of Underwater Things by Khalil, Ruhul Amin, Saeed, Nasir

    ISSN: 1530-437X, 1558-1748
    Published: New York IEEE 01.01.2021
    Published in IEEE sensors journal (01.01.2021)
    “… First, we formulate the relay placement problem as a non-convex optimization problem. Then, we propose a global optimization technique based on Reverse Convex Programming (RCP…”
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    Journal Article
  18. 18

    Optimality Conditions for D.C. Vector Optimization Problems Under Reverse Convex Constraints by Gadhi, N., Laghdir, M., Metrane, A.

    ISSN: 0925-5001, 1573-2916
    Published: Dordrecht Springer Nature B.V 01.12.2005
    Published in Journal of global optimization (01.12.2005)
    “… vector optimization problems under reverse convex constraints. An application to vector fractional mathematical programming is also given…”
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    Journal Article
  19. 19

    Reverse Convex Programming Approach in the Space of Extreme Criteria for Optimization over Efficient Sets by Thoai, N. V.

    ISSN: 0022-3239, 1573-2878
    Published: Boston Springer US 01.11.2010
    “… ‘reverse convex program’. This is a typical problem in global optimization, in which local optima are in general different from global optima…”
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    Journal Article
  20. 20

    A Global Optimization Approach for Solving Generalized Nonlinear Multiplicative Programming Problem by Yang, Lin-Peng, Pei, Yong-Gang, Shen, Pei-Ping

    ISSN: 1085-3375, 1687-0409
    Published: Cairo, Egypt Hindawi Limiteds 01.01.2014
    Published in Abstract and Applied Analysis (01.01.2014)
    “…) with a nonconvex constraint set. The algorithm uses a branch and bound scheme based on an equivalently reverse convex programming problem…”
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    Journal Article