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Partially ordered secretaries


 
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1. Title Title of document Partially ordered secretaries
 
2. Creator Author's name, affiliation, country Ragnar Freij; Chalmers University of Technology and University of Gothenburg
 
2. Creator Author's name, affiliation, country Johan Wästlund; Chalmers University of Technology and University of Gothenburg
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) secretary problem; best choice problem; partial order.
 
3. Subject Subject classification 60c05; 68w20; 68w27; 06A07; 90B50
 
4. Description Abstract The elements of a finite nonempty partially ordered set are exposed at independent uniform times in $[0,1]$ to a selector who, at any given time, can see the structure of the induced partial order on the exposed elements. The selector's task is to choose online a maximal element. This generalizes the classical linear order secretary problem, for which it is known that the selector can succeed with probability $1/e$ and that this is best possible. We describe a strategy for the general problem that achieves success probability at least $1/e$ for an arbitrary partial order.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2010-10-26
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1579
 
10. Identifier Digital Object Identifier 10.1214/ECP.v15-1579
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 15
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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