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A statistical analysis is performed for a random unrestricted local crew scheduling problem, expressed in terms of pairing arrivals with departures. The analysis is aimed at understanding the structure of similar problems with global…

Disordered Systems and Neural Networks · Physics 2020-12-23 M. Lagerholm , C. Peterson , B. Söderberg

We develop a model of inter-temporal and intra-temporal price discrimination by monopoly airlines to study the ability of different discriminatory pricing mechanisms to increase efficiency and the associated distributional implications. To…

General Economics · Economics 2022-12-07 Gaurab Aryal , Charles Murry , Jonathan W. Williams

Satellite conjunctions involving "near misses" of space objects are becoming increasingly likely. One approach to risk analysis for them involves the computation of the collision probability, but this has been regarded as having some…

Applications · Statistics 2022-03-11 Soumaya Elkantassi , Anthony Davison

The concept of missing at random is central in the literature on statistical analysis with missing data. In general, inference using incomplete data should be based not only on observed data values but should also take account of the…

Methodology · Statistics 2013-06-13 Shaun Seaman , John Galati , Dan Jackson , John Carlin

Following a question of J. Cooper, we study the expected number of occurrences of a given permutation pattern $q$ in permutations that avoid another given pattern $r$. In some cases, we find the pattern that occurs least often, (resp. most…

Combinatorics · Mathematics 2009-10-08 Miklos Bona

Finite-precision floating point arithmetic unavoidably introduces rounding errors which are traditionally bounded using a worst-case analysis. However, worst-case analysis might be overly conservative because worst-case errors can be…

Numerical Analysis · Mathematics 2019-12-11 Fredrik Dahlqvist , Rocco Salvia , George A Constantinides

Line planning in public transport is the strategic problem of selecting lines and their operating frequencies. This problem is important as it defines the passenger service, based on available connections and expected travel times, and…

In public transport networks disruptions may occur and lead to travel delays. It is thus interesting to determine whether a traveler can be resilient to delays that occur unexpectedly, ensuring that they can reach their destination in time…

Computational Complexity · Computer Science 2023-08-24 Thomas Depian , Christoph Kern , Sebastian Röder , Soeren Terziadis , Markus Wallinger

Position probability distribution of a set of massive mutually exclusive particles in one dimension has been defined. Examples with a given two mutually exclusive particles system are considered. It is emphasized that quantum particles at…

Quantum Physics · Physics 2016-10-28 Rasool Kheiry , Shahram Salehi

This work presents a model for the Tramp Ship Scheduling problem including berth allocation considerations, motivated by a real case of a shipping company. The aim is to determine the travel schedule for each vessel considering multiple…

Accurate travel time estimation is essential for navigation and itinerary planning. While existing research employs probabilistic modeling to assess travel time uncertainty and account for correlations between multiple trips, modeling the…

Machine Learning · Computer Science 2024-11-28 Chen Xu , Qiang Wang , Lijun Sun

Exposure to air pollution is associated with increased morbidity and mortality. Recent technological advancements permit the collection of time-resolved personal exposure data. Such data are often incomplete with missing observations and…

The paper concerns the probabilistic evaluation of plans in the presence of unmeasured variables, each plan consisting of several concurrent or sequential actions. We establish a graphical criterion for recognizing when the effects of a…

Artificial Intelligence · Computer Science 2013-02-21 Judea Pearl , James M. Robins

The paper presents a discussion on the asymptotic formula for the number of plane partitions of a large positive integer.

Combinatorics · Mathematics 2007-05-23 Ljuben Mutafchiev , Emil Kamenov

Multivariate bounded discrete data arises in many fields. In the setting of dementia studies, such data is collected when individuals complete neuropsychological tests. We outline a modeling and inference procedure that can model the joint…

Methodology · Statistics 2026-02-10 Daniel Suen , Yen-Chi Chen

The analysis of the transportation usage rate provides opportunities for evaluating the efficacy of the transportation service offered by proposing an indicator that integrates actual demand and capacity. This study aims to develop a…

This paper addresses the problem of distributed hypothesis testing in multi-agent networks, where agents repeatedly collect local observations about an unknown state of the world, and try to collaboratively detect the true state through…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-13 Lili Su , Nitin H. Vaidya

In this work the diffusion in the quenched trap model with diverging mean waiting times is examined. The approach of randomly stopped time is extensively applied in order to obtain asymptotically exact representation of the disorder…

Statistical Mechanics · Physics 2020-07-21 Stanislav Burov

Electronic health records are a valuable data source for investigating health-related questions, and propensity score analysis has become an increasingly popular approach to address confounding bias in such investigations. However, because…

Over the last quarter-century, spacecraft conjunction assessment has focused on a quantity associated by its advocates with collision probability. This quantity has a well-known dilution feature, where it is small when uncertainty is large,…

Applications · Statistics 2025-04-01 J. Russell Carpenter , Anthony C. Davison , Soumaya Elkantassi , Matthew D. Hejduk