Decremental state space relaxation strategies and initialization heuristics for solving the Orienteering Problem with Time Windows with dynamic programming
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Righini, Giovanni
[1
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Salani, Matteo
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Univ Milan, Dipartimento Tecnol Informaz, I-26013 Crema, CR, ItalyUniv Milan, Dipartimento Tecnol Informaz, I-26013 Crema, CR, Italy
Salani, Matteo
[1
]
机构:
[1] Univ Milan, Dipartimento Tecnol Informaz, I-26013 Crema, CR, Italy
We present an exact optimization algorithm for the Orienteering Problem with Time Windows (OPTW). The algorithm is based on bi-directional and bounded dynamic programming with decremental state space relaxation. We compare different strategies proposed in the literature to guide decremental state space relaxation: our experiments on instances derived from the literature show that there is no dominance between these strategies. We also propose a new heuristic technique to initialize the critical vertex set and we provide experimental evidence of its effectiveness. (C) 2008 Elsevier Ltd. All rights reserved.