An Evolutionary Algorithm for Column Generation in Integer Programming: An Effective Approach for 2D Bin Packing

An Evolutionary Algorithm for Column Generation in Integer Programming: An Effective Approach for 2D Bin Packing

We consider the 3-stage two-dimensional bin packing problem, which occurs in real-world problems such as glass cutting. For it, we present a new integer linear programming formulation and a branch and price algorithm. Column generation is performed by applying either a greedy heuristic or an Evoluti...

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Hauptverfasser: Puchinger, Jakob, Raidl, Günther R.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Algorithmics. Computability. Computer arithmetics
Applied sciences
Artificial intelligence
Column Generation
Computer Science
Computer science
control theory
systems
Evolutionary Algorithm
Exact sciences and technology
Integer Linear Program
Integer Linear Program Model
Learning and adaptive systems
Operations Research
Price Problem
Theoretical computing
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Beschreibung
Zusammenfassung:We consider the 3-stage two-dimensional bin packing problem, which occurs in real-world problems such as glass cutting. For it, we present a new integer linear programming formulation and a branch and price algorithm. Column generation is performed by applying either a greedy heuristic or an Evolutionary Algorithm (EA). Computational experiments show the benefits of the EA-based approach. The higher computational effort of the EA pays off in terms of better final solutions; furthermore more instances can be solved to provable optimality.
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-540-30217-9_65