Optimal excavation profile for a pipeline freely resting on the sea floor

Giannessi, Franco; Jurina, Lorenzo; Maier, G.

doi:10.1016/0141-0296(79)90017-8

Cited by 18 publications

(7 citation statements)

References 4 publications

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“…Another solution strategy is represented by the bi-level formulation of MPEC, see e.g. [7,21]. The so called "bundle method", based on the tools of nondifferentiable analysis, has been proposed in [10].…”

Section: Smoothing Techniquementioning

confidence: 99%

Generalized limit analysis in poroplasticity by mathematical programming

2009

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Classical limit analysis of structures by the statical approach\ud computationally means maximization of a load multiplier under equilibrium and yield condition constraints, namely convex mathematical programming. In elastoplasticity, generalizations of limit analysis had been proposed in order to achieve, still by load factor constrained optimization, the safety factor with respect not only to plastic collapse. This paper presents similar generalization in two-phase poroelastoplasticity. A method is here developed (and validated by numerical application to a masonry dam) apt to\ud assess the safety factor of a structure interpretable as a poroplastic system, with respect to both plastic collapse and critical thresholds on deformations, by solving a nonconvex nonsmooth constrained optimization problem usually referred to in the literature as "mathematical program under equilibrium constraints". Piece-wise linearization of yield surfaces and\ud reduction of yield planes by a "sifting" procedure are adopted to reduce computing efforts

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Section: Smoothing Techniquementioning

confidence: 99%

Generalized limit analysis in poroplasticity by mathematical programming

2009

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“…programming problems are also frequently encountered in engineering and physics (cf., e.g., Giannessi et al (1979), Heron and Sermange (1982), Mahjoub (1983), Vidigal and Director (1982), Strodiot et al (1985 and, Polak and Vincentelli (1979), Toland (1978), Tuy (1986 and). programming problems are also frequently encountered in engineering and physics (cf., e.g., Giannessi et al (1979), Heron and Sermange (1982), Mahjoub (1983), Vidigal and Director (1982), Strodiot et al (1985 and, Polak and Vincentelli (1979), Toland (1978), Tuy (1986 and).…”

Section: Complementarity Problems and Concave Minimizationmentioning

confidence: 99%

“…Another example has been discussed in Giannessi et al (1979). In offs hore technology, a submarine pipeline is usually laid so that it rests freely on the sea bot tom.…”

Section: Reverse Convex Constraintsmentioning

confidence: 99%

Global Optimization

Horst¹,

Tụy²

1996

577

101

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Hor.t, Relner:Global optlmization : determinlstic approaches / Reiner Horst ; Hoang Tuy. -3., rev. and enl. ed.The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. SPIN 10517261 42.12202 -5 43 21 o -Printed on acid-free paper PREFACE TO THE SECOND EDITIONThe main contents and character of the monograph did not change with respect to the first edition. However, within most chapters we incorporated quite a number of modifications which take into account the recent development of the field, the very valuable suggestions and comments that we received from numerous colleagues and students as well as our own experience while using the book. Some errors and misprints in the first edition are also corrected. May 1992Reiner Horst Hoang Tuy XII Part B treats concave minimization and reverse convex programming subject to linear and reverse convex constraints. In this part we present additional detail on specially structured problems. Examples include decomposition, projection, separability, and parametrie approaches.In Part C we consider rather general global optimization problems. We study d.c.-programming and Lipschitz optimization, and present our most recent attempts at solving more general global optimization problems. In this part, the specializations most naturally include biconvex programming, indefinite "all-quadratic" optimization, and design centering as encountered in engineering design.Each chapter begins with a summary of its contents.The technical prerequisites for this book are rather modest, and are within reach of most advanced undergraduate university programs. They include asound knowledge of elementary real analysis, linear algebra, and convexity theory. No familiarity with any other branch of mathematics is required.In preparing this book, we have received encouragement, advice, and suggestions from a large group of individuals. For this we are grateful to

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“…D .c. programming problems are also frequently encountered in engineering and physics (cf., e.g., Giannessi et al [54], Heron …”

Section: Consequentlymentioning

confidence: 99%

“…For concave minimization, biconvex programming, separable programs, and certain quadratic problems, algorithms have frequently used convex envelops @ off over M to obtain P ( M ) = min @(M r l D) (54) (cf. Section 3.1).…”

Section: Outer Approximation In Branch-and-bound Proceduresmentioning

confidence: 99%

Deterministic methods in constrained global optimization: Some recent advances and new fields of application

Horst

1990

Naval Research Logistics

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Recent developments in deterministic global optimization methods have considerably enlarged the fields of optimization where those methods can be successfully applied. It is the purpose of the present article to give a brief survey of both some of the most promising methods and new fields of application. The methods considered comprise branch and bound and outer approximation as well as combinations of branch and bound with outer approximation. The fields of applications to be discussed include concave minimization, reverse convex programming, d.c. programming, Lipschitzian optimization, systems of equations, and (or) inequalities and global integer programming.

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Optimal excavation profile for a pipeline freely resting on the sea floor

Cited by 18 publications

References 4 publications

Generalized limit analysis in poroplasticity by mathematical programming

Generalized limit analysis in poroplasticity by mathematical programming

Global Optimization

Deterministic methods in constrained global optimization: Some recent advances and new fields of application

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