Name
Title | ||
|---|---|---|
Resource-Constrained Assignment Problems with Shared Resource Consumption and Flexible Demand |
Abstract | ||
|---|---|---|
<P>This paper considers a very general class of customer-to-resource assignment problems relevant to a variety of manufacturing contexts. This problem class addresses settings in which subsets of customer types share resource capacities as well as a fixed amount of capacity consumption, independent of production volume. More broadly, our model addresses cross-facility production limits and shared capacity consumption within each customer type. To solve these large-scale optimization problems, we apply a branch-and-price solution approach. This approach relies on an effective solution method for a novel class of nonlinear knapsack pricing problems. As our computational results demonstrate, despite the fact that the resulting master problem is not a simple set-partitioning problem, the problem's relaxation is sufficiently tight to produce an algorithm that significantly outperforms CPLEX for a wide range of problem parameter settings.</P> |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1287/ijoc.2013.0565 | INFORMS Journal on Computing |
Keywords | Field | DocType |
branch-and-price,capacitated assignment problem,nonlinear knapsack problem,branch and price | Weapon target assignment problem,Mathematical optimization,Quadratic assignment problem,Generalized assignment problem,Continuous knapsack problem,Cutting stock problem,Knapsack problem,Optimization problem,Linear bottleneck assignment problem,Mathematics | Journal |
Volume | Issue | ISSN |
26 | 2 | 1091-9856 |
Citations | PageRank | References |
1 | 0.36 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chase Rainwater | 1 | 70 | 7.12 |
| Joseph Geunes | 2 | 308 | 28.72 |
| H. Edwin Romeijn | 3 | 769 | 83.88 |