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Search and delivery man problems : when are depth-first paths optimal?
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Alpern, Steve and Lidbetter, Thomas (2020) Search and delivery man problems : when are depth-first paths optimal? European Journal of Operational Research, 285 (3). pp. 965-976. doi:10.1016/j.ejor.2020.02.026 ISSN 0377-2217.
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Official URL: https://doi.org/10.1016/j.ejor.2020.02.026
Abstract
Let h be a probability measure on a network Q, viewed either as the location of a hidden object to be found or as the continuous distribution of customers receiving packages. We wish to find a trajectory starting from a specified root, or depot O that minimizes the expected search or delivery time. We call such a trajectory optimal. When Q is a tree, we ask for which h there is an optimal trajectory that is depth-first, and we find sufficient conditions and in some cases necessary and sufficient conditions on h. A consequence of our analysis is a determination of the optimal depot location in the Delivery Man Problem, correcting an error in the literature.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Social Sciences > Warwick Business School | ||||||||
Journal or Publication Title: | European Journal of Operational Research | ||||||||
Publisher: | Elsevier | ||||||||
ISSN: | 0377-2217 | ||||||||
Official Date: | 16 September 2020 | ||||||||
Dates: |
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Volume: | 285 | ||||||||
Number: | 3 | ||||||||
Page Range: | pp. 965-976 | ||||||||
DOI: | 10.1016/j.ejor.2020.02.026 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 25 February 2020 | ||||||||
Date of first compliant Open Access: | 19 February 2021 | ||||||||
Related URLs: | |||||||||
Open Access Version: |
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