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| Content Provider | Springer Nature Link |
|---|---|
| Author | Posta, Marius Ferland, Jacques A. Michelon, Philippe |
| Copyright Year | 2011 |
| Abstract | We propose a simple exact algorithm for solving the generalized assignment problem. Our contribution is twofold: we reformulate the optimization problem into a sequence of decision problems, and we apply variable-fixing rules to solve these effectively. The decision problems are solved by a simple depth-first lagrangian branch-and-bound method, improved by our variable-fixing rules to prune the search tree. These rules rely on lagrangian reduced costs which we compute using an existing but little-known dynamic programming algorithm. |
| Starting Page | 629 |
| Ending Page | 644 |
| Page Count | 16 |
| File Format | |
| ISSN | 09266003 |
| Journal | Computational Optimization and Applications |
| Volume Number | 52 |
| Issue Number | 3 |
| e-ISSN | 15732894 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2011-09-13 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Integer programming Generalized assignment problem Branch and bound Lagrangian relaxation Dynamic programming Statistics Operations Research/Decision Theory Operations Research, Management Science Convex and Discrete Geometry Optimization |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Control and Optimization Computational Mathematics |
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