Search-and-rescue rendezvous

Pierre Leone, Julia Buwaya and Steve Alpern

European Journal of Operational Research, 2022, vol. 297, issue 2, 579-591

Abstract: We consider a new type of asymmetric rendezvous search problem in which player II needs to give player I a ‘gift’ which can be in the form of information or material. The gift can either be transfered upon meeting, as in traditional rendezvous, or it can be dropped off by player II at a location he passes, in the hope it will be found by player I. The gift might be a water bottle for a traveller lost in the desert; a supply cache for Captain Scott in the Antarctic; or important information (left as a gift). The common aim of the two players is to minimize the time taken for I to either meet II or find the gift. We find optimal agent paths and drop off times when the search region is a line, the initial distance between the players is known and one or both of the players can leave gifts.

Keywords: Linear programming; Rendezvous problem on the line; Search-and-rescue rendezvous (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:297:y:2022:i:2:p:579-591

DOI: 10.1016/j.ejor.2021.05.009

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