Name
Abstract | ||
|---|---|---|
Weighted average expressions frequently appear in the context of allocation problems with balancing based constraints. In combinatorial optimization they are typically avoided by exploiting problems specificities or by operating on the search process. This approach fails to apply when the weights are decision variables and when the average value is part of a more complex expression. In this paper, we introduce a novel average constraint to provide a convenient model and efficient propagation for weighted average expressions appearing in a combinatorial model. This result is especially useful for Empirical Models extracted via Machine Learning (see [2]), which frequently count average expressions among their inputs. We provide basic and incremental filtering algorithms. The approach is tested on classical benchmarks from the OR literature and on a workload dispatching problem featuring an Empirical Model. In our experimentation the novel constraint, in particular with incremental filtering, proved to be even more efficient than traditional techniques to tackle weighted average expressions. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/978-3-642-33558-7_16 | CP |
Keywords | Field | DocType |
efficient propagation,novel average constraint,empirical model,weighted average expression,novel constraint,average expression,convenient model,weighted average constraint,combinatorial optimization,average value,combinatorial model | Empirical modelling,Decision variables,Mathematical optimization,Expression (mathematics),Workload,Computer science,Algorithm,Filter (signal processing),Combinatorial optimization,Combinatorial model,Weighted arithmetic mean | Conference |
Citations | PageRank | References |
2 | 0.37 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alessio Bonfietti | 1 | 71 | 6.98 |
| Michele Lombardi | 2 | 270 | 28.86 |