A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
Filters
Accelerating benders decomposition with heuristicmaster problem solutions
2012
Pesquisa Operacional
In this paper, a general scheme for generating extra cuts during the execution of a Benders decomposition algorithm is presented. ...
The most important aspect of the proposed ideas is their generality, which allows them to be used in virtually any Benders decomposition implementation. ...
This algorithm can be used to generate further extra cuts and its pseudo-code is presented in Algorithm 3. ...
doi:10.1590/s0101-74382012005000005
fatcat:or3cqyorvnf4vfokvp3baa4oui
In-Out Separation and Column Generation Stabilization by Dual Price Smoothing
[chapter]
2013
Lecture Notes in Computer Science
Stabilization procedures for column generation can be viewed as cutting plane strategies in the dual. ...
Exploiting the link between in-out separation strategies and dual price smoothing techniques for column generation, we derive a generic bound convergence property for algorithms using a smoothing feature ...
Techniques in Column Generation The above column generation procedure, also known as Kelley's cutting plane algorithm for the dual master, yields a sequence of dual solution candidates {π t } t converging ...
doi:10.1007/978-3-642-38527-8_31
fatcat:k4kzdevnsfgk5dkvuyjubl52i4
A Data-Driven Column Generation Algorithm For Bin Packing Problem in Manufacturing Industry
[article]
2022
arXiv
pre-print
Then, two novel strategies, the constraint handling and process acceleration strategies are applied to the classic column generation approach to solve this set cover problem. ...
To further eliminate the iteration process of column generation algorithm and accelerate the optimization process, a Learning to Price approach called Modified Pointer Network is proposed, by which we ...
Based on the Branch and Cut, [31] proposed a Reinforcement Learning approach for generating Gomary Cut to tight the search space. ...
arXiv:2202.12466v1
fatcat:raxqis4pqbae3fmdhj4n7groae
Improving benders decomposition using maximum feasible subsystem (MFS) cut generation strategy
2010
Computers and Chemical Engineering
This strategy is referred to as maximum feasible subsystem (MFS) cut generation strategy. ...
A new multi-generation of cuts algorithm is presented in this paper to improve the efficiency of Benders decomposition approach for the cases that optimality cuts are difficult to be achieved within the ...
Acknowledgements The authors would like to gratefully acknowledge financial support from the National Science Foundation under the NSF CTS 0625515 grant and also the USEPA-funded Environmental Bioinformatics ...
doi:10.1016/j.compchemeng.2009.10.002
fatcat:jfyfq54fgffspiezcbkmgzchty
Smooth and flexible dual optimal inequalities
[article]
2020
arXiv
pre-print
We address the problem of accelerating column generation (CG) for set-covering formulations via dual optimal inequalities (DOI). ...
iterations and the oscillations of the dual variables commonly observed in column generation procedures. ...
Concluding remarks In this document we introduced a new approach to accelerate the convergence of column generation when applied to set-covering-based formulations. ...
arXiv:2001.02267v1
fatcat:stzk5y4ln5hxvjyo4zvt5cmst4
Automation and Combination of Linear-Programming Based Stabilization Techniques in Column Generation
2018
INFORMS journal on computing
Interpreting column generation as cutting plane strategies in the dual problem, we analyze the mechanisms on which stabilization relies. ...
The convergence of a column generation algorithm can be improved in practice by using stabilization techniques. ...
Stabilization Techniques in Column Generation Stabilization techniques are devised to accelerate the convergence of the column generation algorithm, by targeting its drawbacks as reviewed in [31] : -Dual ...
doi:10.1287/ijoc.2017.0784
fatcat:svu62x7iavegxmhjqm3t5nlgli
Full 3D simulations of BNL one-sided silicon 3D detectors and comparisons with other types of 3D detectors
2008
Nuclear Instruments and Methods in Physics Research Section A : Accelerators, Spectrometers, Detectors and Associated Equipment
Single-type column detectors are easier to process than dual-type column detectors, but have a more complicated, non-uniform electric field profile. ...
The dual-type column detectors are the best in radiation hardness due to their low depletion voltages and short drift distances. ...
Acknowledgement This research was supported by the US Department of Energy: Contract no. DE-AC02-98CH10886. ...
doi:10.1016/j.nima.2007.12.005
fatcat:gtmrw3egxrggtfo4csxnmsnxbq
An exact solution approach based on column generation and a partial-objective constraint to design a cellulosic biofuel supply chain
2014
Computers and Chemical Engineering
An embedded structure can be transformed to a generalized minimum cost flow problem, which is used as a sub-problem in a column generation approach, to solve the linear relaxation of the mixed-integer ...
This study proposes a dynamic programming algorithm to solve the sub-problem in O(m) time, generating improving pathflows. ...
Liang and Wilhelm (2010) generalized extra dual cuts, noting that inserting a polynomial number of extra dual cuts into RMP upon initialization restricts the dual space, potentially accelerating CG convergence ...
doi:10.1016/j.compchemeng.2014.07.011
fatcat:pygztdb6ibcbzg5uhqdlnamzgu
Routing Trains Through Railway Junctions: A New Set-Packing Approach
2011
Transportation Science
To exploit the structure of the problem we present a solution procedure which entails solving the dual of this formulation through the dynamic addition of violated cuts (primal variables). ...
A discussion of the variable (train path) generation phase, as well as an efficient pricing routine in which these variables are represented by tree structures is also included. ...
Providing that they represent feasible paths through the junction, they are nothing more than extra columns in the model. ...
doi:10.1287/trsc.1100.0362
fatcat:svghgsnw3zg5jkeusdyiygplpm
Interior point stabilization for column generation
2007
Operations Research Letters
Interior point stabilization is an acceleration method for column generation algorithms. ...
The method is applied to the case of the vehicle routing problem with time windows. ...
Typically, the branching procedure starts when the root node has been solved and thus a sufficiently large number of columns (dual cuts) have been generated. ...
doi:10.1016/j.orl.2006.11.004
fatcat:c4fkzvikkra4fpbd5odbrbp5ay
Functionality-Based Processing-In-Memory Accelerator for Deep Convolutional Neural Networks
2021
IEEE Access
In this work, we propose a functionality-based PIM accelerator for DCNNs. We design several modules in addition to the conventional PIM system based on a hybrid memory cube (HMC). ...
Third, we compose dual prefetchers that can deal with DCNN's memory access patterns, thereby reducing the system's overall latency. ...
SHARED CACHE Owing to energy limitations of 3D memory, conventional PIM cores cannot be used as general-purpose cores; they are restricted to simple atomic cores. ...
doi:10.1109/access.2021.3122818
fatcat:eer2kddywje7fjugcud5uokulu
Dual Inequalities for Stabilized Column Generation Revisited
2016
INFORMS journal on computing
Dual-optimal inequalities for stabilized column generation. ...
We also suggest the dynamic addition of violated dual inequalities in a cutting-plane fashion and the use of dual inequalities that are not necessarily (deep) DOIs. ...
The additional use of dynamically generated DI saves an extra 17% of the computation time. The pure dynamic generation even results in a slightly slower overall algorithm than the static version. ...
doi:10.1287/ijoc.2015.0670
fatcat:nm74jopbhbf6bcgrxcf75o5x2q
A New Combination of Lagrangean Relaxation, Dantzig-Wolfe Decomposition and Benders Decomposition Methods for Exact Solution of the Mixed Integer Programming Problems
2019
Communications in Mathematics and Applications
decomposition and Benders decomposition methods are used in order to reinforce bounds and to speed up convergence. ...
The basic idea for this technique is the generation of suitable upper and lower bounds for the optimal value of the original problem at each iteration. ...
Furthermore, they suggested, for the problems that feasibility cuts are considerably being generated more than the optimality cuts, an extra cut in order to restrict the value of the master problem [20 ...
doi:10.26713/cma.v10i3.1116
fatcat:akrhvoo5rnbrhihhl5gs6hxhjm
Vehicle Fleet Sizing, Positioning and Routing Problem with Stochastic Customers
[article]
2021
arXiv
pre-print
By using acceleration techniques we obtain solutions within 1 to 6 hours, reasonable times considering the strategic nature of the decision. ...
For the ex-post evaluation, we solve 75% of the instances in less than 3 minutes, meaning that the methodology used to solve the MDVRP is well suited for daily operation. ...
Column generation Auxiliary problem (Route Generator) The purpose of this section is to present how given a depot k ∈ H and some dual vectors π and λ a route r ∈ R k (ω) with minimum reduced costc r is ...
arXiv:2109.08114v3
fatcat:euqd2hkcqjcdlpt4tdpa7pnxai
Communication-Constrained Expansion Planning for Resilient Distribution Systems
[article]
2018
arXiv
pre-print
The paper proposes an exact branch-and-price algorithm for the ORDPDC which features a strong lower bound and a variety of acceleration schemes to address degeneracy. ...
Distributed generation and remotely controlled switches have emerged as important technologies to improve the resiliency of distribution grids against extreme weather-related disturbances. ...
As shown later on, this optimal cut is critical to link the two phases of the column generation, preventing many potential columns to be generated in the second phase. columns are more likely to enter ...
arXiv:1801.03520v1
fatcat:6wdixktecbgjdlcce2zfp2cbaq
« Previous
Showing results 1 — 15 out of 16,652 results