Book Chapter10.1007/978-3-642-13122-6_28
The urinal problem
Evangelos Kranakis,Danny Krizanc +1 more
- 02 Jun 2010
- Vol. 6099, pp 284-295
TL;DR: The results suggest that for the most part one should probably choose the urinal furthest from the door (with some interesting exceptions), and a number of variations on the problem that lead to many open problems are suggested.
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Abstract: A man walks into a men's room and observes n empty urinals. Which urinal should he pick so as to maximize his chances of maintaining privacy, i.e., minimize the chance that someone will occupy a urinal beside him? In this paper, we attempt to answer this question under a variety of models for standard men's room behavior. Our results suggest that for the most part one should probably choose the urinal furthest from the door (with some interesting exceptions). We also suggest a number of variations on the problem that lead to many open problems.
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Citations
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Modeling transverse train seat occupation with onedimensional potential barriers
TL;DR: In this paper, a six-searcher row in a train is described using potential barriers, and a seating model is constructed using seat occupation probabilities based on a seat's ability to preserve passenger privacy.
1
The Washroom Game
Jan Heufer,Jan Heufer +1 more
TL;DR: In this paper, a game where players sequentially choose either to become insiders and pick one of finitely many locations or to remain outsiders is analyzed, and it is shown that strategic behavior leads to an equilibrium with substantial under utilization of available locations.
A model of random sequential adsorption on a ladder graph
Tomislav Dovsli'c,Mate Puljiz,Stjepan vSebek,Josip vZubrini'c +3 more
- 05 Dec 2023
TL;DR: This study analyzes random sequential adsorption on a ladder graph, deriving explicit expressions for key statistics in both dynamic and static settings, and highlights differences between the two, with implications for a toy model of trapped Rydberg atoms.
Can Large Language Models Create New Knowledge for Spatial Reasoning Tasks?
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TL;DR: LLMs can generate new knowledge for spatial reasoning tasks, demonstrating emergent properties.
References
•Book
Queueing Systems. Volume 1: Theory
leonard Kleinrock
- 02 Jan 1975
TL;DR: The purpose of this document is to summarize the main points of the book written by Leonard Kleinrock, titled, ‘Queueing Systems’, which is about queueing systems.