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We consider the $M/M/1$-PS queue with processor sharing. We study the conditional sojourn time distribution of an arriving customer, conditioned on the number of other customers present. A new formula is obtained for the conditional sojourn…

概率论 · 数学 2010-03-16 Qiang Zhen , Charles Knessl

We consider studies where multiple measures on an outcome variable are collected over time, but some subjects drop out before the end of follow up. Analyses of such data often proceed under either a 'last observation carried forward' or…

统计方法学 · 统计学 2022-07-26 Oliver Dukes , David Richardson , Eric Tchetgen Tchetgen

Wilson et al. propose a measure of flexibility in project scheduling problems and propose several ways of distributing flexibility over tasks without overrunning the deadline. These schedules prove quite robust: delays of some tasks do not…

数据结构与算法 · 计算机科学 2013-07-02 Daan Wilmer

Commuting, like other types of human travel, is complex in nature, such as trip-chaining behavior involving making stops of multiple purposes between two anchors. According to the 2001 National Household Travel Survey, about one half of…

物理与社会 · 物理学 2020-08-26 Yujie Hu , Xiaopeng Li

We investigate the distributions of the orbital period ratios of adjacent planets in high multiplicity \kepler\ systems (four or more planets) and low multiplicity systems (two planets). Modeling the low multiplicity sample as essentially…

地球与行星天体物理 · 物理学 2015-06-12 Jason H. Steffen

The classical multi-agent rendezvous problem asks for a deterministic algorithm by which $n$ points scattered in a plane can move about at constant speed and merge at a single point, assuming each point can use only the locations of the…

多智能体系统 · 计算机科学 2013-06-24 Peter Hegarty , Anders Martinsson , Dmitry Zhelezov

In this paper we models and studies a general vacation queueing model with impatient customers. We first propose a sufficient condition for the existence of the stationary workload process. We then give an integral equation for the…

概率论 · 数学 2017-03-07 Assia Boumahdaf

This study considers the availability of room opportunities collected from a Japanese hotel booking site. We empirically analyze the daily number of room opportunities for four areas. To determine the migration trends of travelers, we…

数据分析、统计与概率 · 物理学 2012-04-03 Aki-Hiro Sato

In this paper, we consider a mobility system of travelers and providers, and propose a "mobility game" to study when a traveler is matched to a provider. Each traveler seeks to travel using the services of only one provider, who manages one…

系统与控制 · 电气工程与系统科学 2022-06-14 Ioannis Vasileios Chremos , Andreas Malikopoulos

Predicting if passengers in a connecting flight will lose their connection is paramount for airline profitability. We present novel machine learning-based decision support models for the different stages of connection flight management,…

机器学习 · 计算机科学 2021-11-04 Marta Guimaraes , Claudia Soares , Rodrigo Ventura

We present a new analytical method to identify potential missed planets in multiplanet systems found via transit surveys such as those conducted by Kepler and TESS. Our method depends on quantifying a system's dynamical packing in terms of…

地球与行星天体物理 · 物理学 2020-11-09 Ana Luisa Tió Humphrey , Elisa V. Quintana

The dynamic spatial redistribution of individuals is a key driving force of various spatiotemporal phenomena on geographical scales. It can synchronise populations of interacting species, stabilise them, and diversify gene pools [1-3].…

统计力学 · 物理学 2009-11-11 D. Brockmann , L. Hufnagel , T. Geisel

This paper addresses aircraft delays, emphasizing their impact on safety and financial losses. To mitigate these issues, an innovative machine learning (ML)-enhanced landing scheduling methodology is proposed, aiming to improve automation…

人工智能 · 计算机科学 2023-11-28 Yutian Pang , Peng Zhao , Jueming Hu , Yongming Liu

Novel concentration inequalities are obtained for the missing mass, i.e. the total probability mass of the outcomes not observed in the sample. We derive distribution-free deviation bounds with sublinear exponents in deviation size for…

机器学习 · 统计学 2015-12-02 Bahman Yari Saeed Khanloo

The goal of the paper is to study asymptotic behavior of the number of lost messages. Long messages are assumed to be divided into a random number of packets which are transmitted independently of one another. An error in transmission of a…

概率论 · 数学 2007-05-23 Vyacheslav M. Abramov

We present a perturbation theory by extending a prescription due to Feynman for computing the probability density function for the random flight motion. The method can be applied to a wide variety of otherwise difficult circumstances. The…

经典物理 · 物理学 2007-05-23 S. Tim Hatamian

Reducing the aircraft boarding time is a common problem not only for airlines, but also for passengers and airports. Group boarding is a popular boarding strategy that separates the passengers into several groups and those groups, which are…

物理与社会 · 物理学 2021-09-29 Sakurako Tanida , Katsuhiro Nishinari

We have introduced excluded volume effect, which is an important factor to model a realistic pedestrian queue, into queueing theory. The probability distributions of pedestrian number and pedestrian waiting time in a queue have been…

物理与社会 · 物理学 2010-08-09 Daichi Yanagisawa , Akiyasu Tomoeda , Rui Jiang , Katsuhiro Nishinari

After beginning with a short historical review of the concept of displaced (coherent) and squeezed states, we discuss previous (often forgotten) work on displaced and squeezed number states. Next, we obtain the most general displaced and…

量子物理 · 物理学 2009-10-30 Michael Martin Nieto

Objective: Researchers often use model-based multiple imputation to handle missing at random data to minimize bias while making the best use of all available data. However, there are sometimes constraints within the data that make…

统计方法学 · 统计学 2020-11-03 Chinchin Wang , Tyrel Stokes , Russell Steele , Niels Wedderkopp , Ian Shrier