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Mixed-integer Nonlinear Programming

An Exact Penalty Approach for Mixed Integer Nonlinear Programming Problems

An Exact Penalty Approach for Mixed Integer Nonlinear Programming Problems

... Keywords: Mixed Integer Nonlinear Programming, Continuous Programming, Exact Penalty Method, Exact Penalty Functions ...the integer constraints on the vari- ables of a problem is ...

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Continuous optimization methods for onvex mixed-integer nonlinear programming

Continuous optimization methods for onvex mixed-integer nonlinear programming

... 120 CHAPTER 7. FRANK-WOLFE BASED BRANCH-AND-BOUND into our branch-and-bound framework and fully analyze its convergence proper- ties. Using a Frank-Wolfe type method in the context of convex mixed-integer ...

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Valid Inequalities and Reformulation Techniques for Mixed Integer Nonlinear Programming

Valid Inequalities and Reformulation Techniques for Mixed Integer Nonlinear Programming

... of Mixed Integer Linear Programming (MILP) is the development of strong valid inequalities or cutting planes such as split and intersection ...for Mixed Integer Nonlinear ...

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Optimal exact designs of experiments via Mixed Integer Nonlinear Programming

Optimal exact designs of experiments via Mixed Integer Nonlinear Programming

... Received: 19 January 2018 / Accepted: 6 March 2019 © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract Optimal exact designs are problematic to find and study because there is no unified theory ...

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Superstructure Optimization of Multiple Cyclone Arrangements Using Mixed Integer Nonlinear Programming

Superstructure Optimization of Multiple Cyclone Arrangements Using Mixed Integer Nonlinear Programming

... (Mixed Integer Nonlinear Programming) model to find the best cyclone arrangement with the optimal number of cyclones and dimensions from four combinations of 1D3D and 2D2D cyclones arranged in ...

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Overview of Mixed-integer Nonlinear Programming

Overview of Mixed-integer Nonlinear Programming

... Grossmann, "MINLP Model for Cyclic Multiproduct Scheduling on Continuous Parallel Lines," Computers and Chemical Engineering 15, 85 (1991).. Pinto, J2[r] ...

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SBB: A New Solver for Mixed Integer Nonlinear Programming

SBB: A New Solver for Mixed Integer Nonlinear Programming

... Report and Stop Report and Stop Yes Unbounded Infeasible Integer Yes Store Solution Update Best Remove Nodes With worse Obj Yes.!. Local/Global Optimization Issues![r] ...

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Mixed-Integer Nonlinear Programming Optimization Strategies for Batch Plant Design Problems

Mixed-Integer Nonlinear Programming Optimization Strategies for Batch Plant Design Problems

... This large number of optimisation problems arises from models that have to enable, for industrial requirements, a truly realistic representation of the system they account for. Consequently, these models tend to show an ...

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Optimal Operation of Water Supply Networks by Mixed Integer Nonlinear Programming and Algebraic Methods

Optimal Operation of Water Supply Networks by Mixed Integer Nonlinear Programming and Algebraic Methods

... mathematical programming, a configuration corresponds to fixing those configuration variables with reasonable ...constrained nonlinear system (CNS) and a subset of the MINLP for the optimal operation ...

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Mixed-Integer Nonlinear Programming Heuristics Applied to a Shale Gas Production Optimization Problem

Mixed-Integer Nonlinear Programming Heuristics Applied to a Shale Gas Production Optimization Problem

... complex mixed integer problems be a viable solution alternative when (exact) general purpose algorithms are too computa- tionally ...an integer feasible solution and the quality of the solu- tion ...

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Non-convex mixed-integer nonlinear programming:a survey

Non-convex mixed-integer nonlinear programming:a survey

... quadratic programming, and branch-and-bound, and that of Berthold [ 86 ], who conducts large neighborhood local search by rounding the fractional solution from a ...

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Mixed Integer Programming to Minimize Train Delays

Mixed Integer Programming to Minimize Train Delays

... used mixed integer nonlinear programming problem on a system of complicated constraints on headway, meeting-crossing and overtaking between trains, trip time, capacity of sliding and so ...

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An algorithmic framework for convex mixed integer nonlinear programs

An algorithmic framework for convex mixed integer nonlinear programs

... that mixed integer nonlinear programming is an important and difficult area for which there is a need for developing new methods and software for solving large-scale ...namely mixed ...

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On the interplay of Mixed Integer Linear, Mixed Integer Nonlinear and Constraint Programming

On the interplay of Mixed Integer Linear, Mixed Integer Nonlinear and Constraint Programming

... techniques can again lead to an MINLP or an MILP. Either of the two techniques bear some drawbacks, in the case of Disjunctive Programming given by the fact that the obtained reformulations lead to dealing with ...

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Mixed integer programming approaches for nonlinear and stochastic programming

Mixed integer programming approaches for nonlinear and stochastic programming

... the nonlinear relaxations made by LP(ε) -BB is only around 1% of the total number of branch-and-bound nodes ...the integer feasible solutions with its primal heuristic than at integer feasible ...

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Methods And Solvers Used For Solving Mixed Integer Linear Programming And Mixed Nonlinear Programming Problems: A Review

Methods And Solvers Used For Solving Mixed Integer Linear Programming And Mixed Nonlinear Programming Problems: A Review

... uses nonlinear branch and cut method, cutting plane method, and branch and bound method for solving MINLP ...and nonlinear constraints in the objective ...

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Mixed integer polynomial programming

Mixed integer polynomial programming

... generic nonlinear functions solution of equality constraints is usually obtained by employing a numerical tech- nique, such as Newton’s ...the nonlinear poly- nomial equivalent of the triangular system ...

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Mixed integer polynomial programming

Mixed integer polynomial programming

... generic nonlinear functions solution of equality constraints is usually obtained by employing a numerical tech- nique, such as Newton’s ...the nonlinear poly- nomial equivalent of the triangular system ...

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Customized Bundle Pricing for Information Goods: A Nonlinear Mixed-Integer Programming Approach

Customized Bundle Pricing for Information Goods: A Nonlinear Mixed-Integer Programming Approach

... This paper aims at providing guidance to a monopolist selling a large number of information goods on how to optimally sell and price their goods by formulating the problem as a nonlinear mixed ...

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Mixed integer bilevel programming problems

Mixed integer bilevel programming problems

... From now on, we can investigate problem (3.2.4) instead of problem (3.2.2). Problem (3.2.4) is a continuous nonlinear programming problem which has a nonsmooth function in its con- straints, namely f −ϕ. ...

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