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The Prize Collecting Connected Subgraph Problem - A New NP-Hard Problem arising in Snow Removal Routing

In: Operations Research Proceedings 2004

Author

Listed:
  • P. O. Lindberg

    (Linköping University)

  • Gholamreza Razmara

    (Linköping University)

Abstract

We consider a new NP-hard optimization problem, the Prize Collecting Connected Subgraph Problem, which appears as a subproblem in routing of snow plows during snow fall. In this problem we have a set of edges in an undirected network, with edge costs and edge times. Moreover there is a time budget. The problem is to find a connected subset (corresponding to a snowplow tour) of minimal cost subject to the budget constraint. This problem can be modeled using flow constraints or introducing valid inequalities. We exemplify computations for the classical Sioux Falls Network

Suggested Citation

  • P. O. Lindberg & Gholamreza Razmara, 2005. "The Prize Collecting Connected Subgraph Problem - A New NP-Hard Problem arising in Snow Removal Routing," Operations Research Proceedings, in: Hein Fleuren & Dick Hertog & Peter Kort (ed.), Operations Research Proceedings 2004, pages 360-367, Springer.
    • Handle: RePEc:spr:oprchp:978-3-540-27679-1_45
    DOI: 10.1007/3-540-27679-3_45
    as

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