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Mixed Integer Continuous Programming

Continuous optimization methods for onvex mixed-integer nonlinear programming

Continuous optimization methods for onvex mixed-integer nonlinear programming

... convex mixed- integer optimization problems by also outer approximating the feasible region by supporting quadratic functions instead of ...underlying mixed-integer quadratically constrained ...

173

On convergence in mixed integer programming

On convergence in mixed integer programming

... the continuous variables based on the original system defining ...original mixed integer setting, without discretizing the continuous variables, and without remembering the original ...

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Mixed integer polynomial programming

Mixed integer polynomial programming

... 1997; Floudas, 1995; Nemhauser and Wolsey, 1988) for an intro- duction to the topic. Gueddar and Dua (2012) reformulated P1 as a multi-parametric nonlinear programme (mp-NLP) by first relaxing y as continuous ...

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Mixed integer polynomial programming

Mixed integer polynomial programming

... 1997; Floudas, 1995; Nemhauser and Wolsey, 1988) for an intro- duction to the topic. Gueddar and Dua (2012) reformulated P1 as a multi-parametric nonlinear programme (mp-NLP) by first relaxing y as continuous ...

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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

... The above constitutes the second way of dealing with logical implications, and it is somewhat opposite to the big-M method. Indeed, the big-M drawback of weak continuous relaxations is obviously overcome because ...

198

Generalized Mixed Integer Rounding Valid Inequalities for Mixed Integer Programming Problems

Generalized Mixed Integer Rounding Valid Inequalities for Mixed Integer Programming Problems

... Chapter 4 Generalization to n-step MIR In this chapter, we show that the generalization presented in chapter 3 is not limited to the 3- step MIR and can be extended to any higher dimension. The result is the introduction ...

117

Mixed integer bilevel programming problems

Mixed integer bilevel programming problems

... bilevel programming problem with discrete lower level and continuous upper problem satisfying n = m = |E| and fitting our generic formulation of Section ...

107

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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Mixed integer programming approaches for nonlinear and stochastic programming

Mixed integer programming approaches for nonlinear and stochastic programming

... In the context of CP problems, an alternative polyhedral relaxation that is not based on gradient inequalities was introduced in 1999 by Ben-Tal and Nemirovski [15]. This approach uses the projection of a higher ...

163

Parametric Integer Programming Algorithm for Bilevel Mixed Integer Programs

Parametric Integer Programming Algorithm for Bilevel Mixed Integer Programs

... an integer program with a fixed number of ...parametric integer programming, we present polynomial time algorithms for pure and mixed integer bilevel ...the mixed integer ...

14

General solution methods for mixed integer quadratic programming and derivative free mixed integer non-linear programming problems

General solution methods for mixed integer quadratic programming and derivative free mixed integer non-linear programming problems

... the continuous variables We now describe a feature of HEMBOQA used to ensure that the continuous part of the solution is ...feasible continuous mani- fold obtained by fixing the integer ...

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DUAL METHODS IN MIXED INTEGER LINEAR PROGRAMMING

DUAL METHODS IN MIXED INTEGER LINEAR PROGRAMMING

... Herein, we first overview the previous results on the structure of the value function. Next, we look more closely at the structure of the value function of an MILP with a single constraint and non- negativity constraints ...

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Implementation of mixed-integer programming on embedded system

Implementation of mixed-integer programming on embedded system

... both continuous dynamics and additional integer variables has ...quadratic programming (QP) problem but a Mixed Integer Quadratic Programming (MIQP) ...of integer ...

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Enhanced Mixed Integer Programming Techniques and Routing Problems

Enhanced Mixed Integer Programming Techniques and Routing Problems

... a mixed integer nonlinear program involving products of integer and continuous ...a mixed integer nonlinear program and have shown that the separation problem for split cuts is ...

174

Application-oriented Mixed Integer Non-Linear Programming

Application-oriented Mixed Integer Non-Linear Programming

... for Mixed Integer Non-Linear Program- ming (MINLP) ...non-convex continuous relaxations: the presence of non-convexities in the model makes these problems usually even harder to ...

160

A Flexible Mixed Integer Programming framework for Nurse Scheduling

A Flexible Mixed Integer Programming framework for Nurse Scheduling

... using mixed integer programming ...ensure continuous ward care service with appropriate number of nursing staffs and the right mix of nursing ...

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Mixed Integer Linear Programming Based Approaches for Medium-Term Planning and Scheduling in Multiproduct Multistage Continuous Plants

Mixed Integer Linear Programming Based Approaches for Medium-Term Planning and Scheduling in Multiproduct Multistage Continuous Plants

... Statistics and results for existing models [M1], [M2], [M3], proposed model reformulations [H1], [H2], [H3] and sequential approaches RH, RH+II for 6, 12, 18 weeks are presented in Table 2. As it can be seen, models [M2] ...

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Mixed Integer Linear Programming Based Approaches for Medium-Term Planning and Scheduling in Multiproduct Multistage Continuous Plants

Mixed Integer Linear Programming Based Approaches for Medium-Term Planning and Scheduling in Multiproduct Multistage Continuous Plants

... School of Management, Swansea University, Bay Campus, Fabian Way, Swansea SA1 8EN, United Kingdom * E-mail: l.papageorgiou@ucl.ac.uk, phone: +44 (0)20 7679 2563... %IP=improvement perce[r] ...

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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

... the continuous variables and discrete variables using the Mixed Integer Linear Program (MILP) and Mixed Integer Non- Linear Program (MINLP) ...

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Mixed integer linear programming for quality of service optimization in Clouds

Mixed integer linear programming for quality of service optimization in Clouds

... the continuous variable ρ p , we keep the assignment variables x v p to the values x v p , defining sets V ( p ) , found by the previous ...of continuous variables t p ρ p ...

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