branchprice算法algorithm分支scheduling A Branch-and-Price Algorithm for Multi-mode Resource Leveling Eamonn T. Coughlan 1 , Marco E. L¨ ubbecke 2 , and Jens Schulz 1 1 Technische Universit¨at Berlin, Institut f¨ ur Mathematik, Straße d. 17. Juni 136, 10623 Berlin, Germany {coughlan...
The aim of this work was to solve the switch-box routing problem to optimality by using a branch-and-price algorithm based on an IP model where variables represent Steiner trees and where the pricing problem becomes the problem of finding a Steiner tree in a graph. In the primal algorithm,...
The measurements in this figure correspond to the total accumulated running time of the pricing procedures, namely the sum of the running times of all the executions of the pricing procedure throughout the complete run of the overall branch and price algorithm.With some few exceptions, these ...
This work presents a Branch-and-Price algorithm for solving a compressor scheduling problem with applications in oil production. The problem consists in defining a set of compressors to be installed for supplying the gas-lift demand of oil wells while minimizing the associated costs. Owing to the...
In this paper, a novel objective for the airport gate assignment problem which considers the trade-off between robustness and operational efficiency in a unified dimension is developed. A task-based two-phase model is established, where the branch-and-price framework is embedded in the first stage...
Computers & Operations Research 34 (2007) 3001–3015 .elsevier/locate/cor A branch-and-price algorithm to solve the molten iron allocation problem in iron and steel industry Lixin Tang a,∗ , Gongshu Wang a , Jiyin Liu b a The Logistics Institute, Northeastern University, Shenyang, China b...
We present a branch-and-price algorithm for the problem employing the disaggregated formulation, which has exponentially many columns denoting the feasible allocations of weapon systems to each target. A greedy-style heuristic is used to get some initial columns to start the column generation. A ...
We also present a Dantzig-Wolfe decomposition of the new formulation that we solve to optimality using a branch-and-price algorithm, where its main advantage comes from the fact that it is possible to control whether an item is included in some knapsack or not. An improved algorithm for ...
Section 3 is devoted to present the new set partitioning-like formulation and all the details of the branch-and-price algorithm proposed to solve it. There, we present how to obtain initial variables for the restricted master problem, we discuss and formulate the pricing problem and set ...
The proposed set partitioning-based formulation is solved using a branch-and-price approach. The subproblem is a multi-period elementary shortest path problem with resource constraints (MPESPPRC), for which we propose an adaptation of the dynamic-programming-based label-correcting algorithm. ...