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The concepts of probability, statistics and stochastic theory are being successfully used in structural engineering. Markov Chain modelling is a simple stochastic process model that has found its application in both describing stochastic…

Applications · Statistics 2007-08-14 K. Balaji Rao

We consider a finite population processor-sharing (PS) queue, with Markovian arrivals and an exponential server. Such a queue can model an interactive computer system consisting of a bank of terminals in series with a central processing…

Probability · Mathematics 2013-09-12 Qiang Zhen , Johan S. H. van Leeuwaarden , Charles Knessl

We consider a single server system with infinite waiting room in a random environment. The service system and the environment interact in both directions. Whenever the environment enters a prespecified subset of its state space the service…

Probability · Mathematics 2013-12-03 Ruslan Krenzler , Hans Daduna

Vehicle-sharing systems are becoming important for urban transportation. In these systems, users arrive at a station, pick up a vehicle, use it for a while and then return it to another station of their choice. Depending on the type of…

Probability · Mathematics 2015-04-16 Cédric Bourdais , Christine Fricker

The model is a "generalized switch", serving multiple traffic flows in discrete time. The switch uses MaxWeight algorithm to make a service decision (scheduling choice) at each time step, which determines the probability distribution of the…

Probability · Mathematics 2015-02-13 Rahul Singh , Alexander Stolyar

We review studies based on analytic and simulation methods for hierarchical performance analysis of Queueing Network - QN models, which result in an order of magnitude reduction in performance evaluation cost with respect to simulation. The…

Performance · Computer Science 2024-01-18 Alexander Thomasian

We consider a system of processor-sharing queues with state-dependent service rates. These are allocated according to balanced fairness within a polymatroid capacity set. Balanced fairness is known to be both insensitive and…

Performance · Computer Science 2019-10-25 Thomas Bonald , Céline Comte , Virag Shah , Gustavo de Veciana

The paper analyzes the performance of tandem network of polling queue with setups. For a system with two-products and two-stations, we propose a new approach based on a partially-collapsible state-space characterization to reduce…

Performance · Computer Science 2022-02-22 Ravi Suman , Ananth Krishnamurthy

With the increasing importance of sustainability, warehouse sharing arises as a possible way to improve the efficiency of the existing logistics system. This paper studied the warehouse sharing platform systems (WSPS) and investigated its…

Optimization and Control · Mathematics 2024-11-28 Zeren Xing , Yuehui Wu , Shuangyuan Yu

We study multiclass many-server queues for which the arrival, service and abandonment rates are all modulated by a common finite-state Markov process. We assume that the system operates in the "averaged" Halfin-Whitt regime, which means…

Probability · Mathematics 2019-07-15 Ari Arapostathis , Anirban Das , Guodong Pang , Yi Zheng

An efficient system of a queue control and regulation in public spaces is very important in order to avoid the traffic jams and to improve the customer satisfaction. This article offers a detailed road map based on a merger of intelligent…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Abhijeet Kumar , Unnati Singh , Rajdeep Chatterjee , Tathagata Bandyopadhyay

Vehicle (bike or car) sharing represents an emerging transportation scheme which may comprise an important link in the green mobility chain of smart city environments. This chapter offers a comprehensive review of algorithmic approaches for…

Data Structures and Algorithms · Computer Science 2015-10-06 Damianos Gavalas , Charalampos Konstantopoulos , Grammati Pantziou

Sharding has shown great potential to scale out blockchains. It divides nodes into smaller groups which allow for partial transaction processing, relaying and storage. Hence, instead of running one blockchain, we will run multiple…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-11 Pourya Soltani , Farid Ashtiani

In high performance computing, scheduling of tasks and allocation to machines is very critical especially when we are dealing with heterogeneous execution costs. Simulations can be performed with a large variety of environments and…

Performance · Computer Science 2018-03-23 Louis-Claude Canon , Mohamad El Sayah , Pierre-Cyrille Héam

In this article statistical bounds for certain output characteristics of the $M/GI/1/n$ and $GI/M/1/n$ loss queueing systems are derived on the basis of large samples of an input characteristic of these systems, such as service time in the…

Statistics Theory · Mathematics 2021-06-30 Vyacheslav M. Abramov

Partial sharing allows providers to possibly pool a fraction of their resources when full pooling is not beneficial to them. Recent work in systems without sharing has shown that redundancy can improve performance considerably. In this…

Networking and Internet Architecture · Computer Science 2019-06-11 Akshay Mete , D. Manjunath , Jayakrishnan Nair , Balakrishna Prabhu

Small-scale clouds (SCs) often suffer from resource under-provisioning during peak demand, leading to inability to satisfy service level agreements (SLAs) and consequent loss of customers. One approach to address this problem is for a set…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-08 Sung-Han Lin , Ranjan Pal , Marco Paolieri , Leana Golubchik

In this paper, we study a controllable tandem queueing system consisting of two nodes and a controller, in which customers arrive according to a Poisson process and must receive service at both nodes before leaving the system. A decision…

Probability · Mathematics 2015-04-07 Liu Zaiming , Chen Gang , Wu Jinbiao

Dockless electric micro-mobility services (e.g., shared e-scooters and e-bikes) have been increasingly popular in the recent decade, and a variety of charging technologies have emerged for these services. The use of charging stations,…

Optimization and Control · Mathematics 2025-01-22 Yining Liu , Yanfeng Ouyang

Optimizing car sharing systems under demand uncertainty is an emerging problem for ensuring profitable and sustainable operations of these services while taking into account quality of service concerns. With the increasing adoption of…

Optimization and Control · Mathematics 2023-07-18 Sinan Emre Kosunda , Beste Basciftci , Esra Koca
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