Geodesic
An apartment problem
Mathematica Applicanda, Tome 42 (2014) no. 2, pp. 193-206.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In the 60 - ies of the last century, several optimization problems referring to the sequential methods were investigated. These tasks may include the Robbins' problem of optimal stopping, the secretary problem (see the discussion paper by Ferguson(1989), the parking problem or the job search problem. Subtle details of the wording in these issues cause that each of these terms include family of problems that differ significantly in detail. These issues focused attention of a large group of mathematicians. One of the related topic has been the subject of Professor Jerzy Zabczyk attention. Based on the discussions with Professor Richard Cowan (in Warsaw during the 1982 International Congress of Mathematicians which was held in August 1983) the model of choosing the best facility available from a random number of offers was established. In contemporary classification of the best choice problems it is the no-information, continuous time, secretary problem with the Poisson stream of options and the finite horizon.
DOI : 10.14708/ma.v42i2.597
Classification : 60G15
Mots-clés : optimal stopping, best choice problem, transcedental equation 
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Krzysztof J. Szajowski. An apartment problem. Mathematica Applicanda, Tome 42 (2014) no. 2, pp.  193-206. doi : 10.14708/ma.v42i2.597. http://geodesic.mathdoc.fr/articles/10.14708/ma.v42i2.597/

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