On the minimal travel time needed to collect \(n\) items on a circle.

DOI10.1214/105051604000000152zbMath1121.90012arXivmath/0405294OpenAlexW2952738077MaRDI QIDQ1879896

Nelly Litvak, Willem R. Van Zwet

Publication date: 15 September 2004

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405294

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Central limit and other weak theorems (60F05) Exact distribution theory in statistics (62E15) Inventory, storage, reservoirs (90B05)

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Cites Work

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• Extremes of moving averages of random variables with finite endpoint
• On the entire moments of self-similar Markov processes and exponential functionals of Lévy processes
• AIMD algorithms and exponential functionals
• The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes
• On subordinators, self-similar Markov processes and some factorizations of the exponential variable
• On a class of order pick strategies in paternosters
• The travel time in carousel systems under the nearest item heuristic
• Some peculiarities of exponential random variables
• Ramanujan's Extensions of the Gamma and Beta Functions
• A Markovian analysis of additive-increase multiplicative-decrease algorithms
• Distribution of linear combination of exponential variates
• Exponential functionals of Brownian motion and related processes