Mixed-integer nonlinear optimization
Many optimal decision problems in scientific, engineering, and public sector applications
involve both discrete decisions and nonlinear system dynamics that affect the quality of the …
involve both discrete decisions and nonlinear system dynamics that affect the quality of the …
Exploiting integrality in the global optimization of mixed-integer nonlinear programming problems with BARON
In this paper, we present recent developments in the global optimization software BARON to
address problems with integer variables. A primary development was the addition of mixed …
address problems with integer variables. A primary development was the addition of mixed …
Algorithms and software for convex mixed integer nonlinear programs
This paper provides a survey of recent progress and software for solving convex Mixed
Integer Nonlinear Programs (MINLP) s, where the objective and constraints are defined by …
Integer Nonlinear Programs (MINLP) s, where the objective and constraints are defined by …
Ten years of feasibility pump, and counting
Abstract The Feasibility Pump (fp) is probably the best-known primal heuristic for mixed-
integer programming. The original work by Fischetti et al.(Math Program 104 (1): 91–104 …
integer programming. The original work by Fischetti et al.(Math Program 104 (1): 91–104 …
An overview of MINLP algorithms and their implementation in Muriqui Optimizer
We present an overview of the main algorithms in the literature for convex mixed integer
nonlinear programming and discuss aspects of their implementation in a new open source …
nonlinear programming and discuss aspects of their implementation in a new open source …
[LIBRO][B] Heuristic algorithms in global MINLP solvers
T Berthold - 2015 - zib.de
In the literature for mixed integer programming, heuristic algorithms (particularly primal
heuristics) are often considered as stand-alone procedures; in that context, heuristics are …
heuristics) are often considered as stand-alone procedures; in that context, heuristics are …
Integrated utility-transit model for optimal configuration of battery electric bus systems
The electrification of transportation sector represents a promising approach to reduce transit-
related greenhouse gas emissions. However, both transportation and power utility sectors …
related greenhouse gas emissions. However, both transportation and power utility sectors …
RENS: the optimal rounding
T Berthold - Mathematical Programming Computation, 2014 - Springer
This article introduces rens, the relaxation enforced neighborhood search, a large
neighborhood search algorithm for mixed integer nonlinear programs (MINLPs). It uses a …
neighborhood search algorithm for mixed integer nonlinear programs (MINLPs). It uses a …
Penalty alternating direction methods for mixed-integer optimization: A new view on feasibility pumps
Feasibility pumps are highly effective primal heuristics for mixed-integer linear and nonlinear
optimization. However, despite their success in practice there are only a few works …
optimization. However, despite their success in practice there are only a few works …
Two-step coordinated optimization model of mixed demand responsive feeder transit
It is necessary to consider both the reservation and real-time travel demand in order to
coordinate and optimize vehicle routing and scheduling. In this paper, a two-step …
coordinate and optimize vehicle routing and scheduling. In this paper, a two-step …