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This paper analyzes a service system modeled as a single-server queue, in which the service provider aims to dynamically maximize the expected revenue per unit of time. This is achieved by constructing a stochastic gradient descent…

Optimization and Control · Mathematics 2026-03-05 Shreehari Anand Bodas , Harsha Honnappa , Michel Mandjes , Liron Ravner

We consider the problem of service hosting where an application provider can dynamically rent edge computing resources and serve user requests from the edge to deliver a better quality of service. A key novelty of this work is that we allow…

Networking and Internet Architecture · Computer Science 2022-07-20 V S Ch Lakshmi Narayana , Mohit Agarwala , R Sri Prakash , Nikhil Karamchandani , Sharayu Moharir

This paper considers appointment scheduling in a setting in which at every client arrival the schedule of all future clients can be adapted. Starting our analysis with an explicit treatment of the case of exponentially distributed service…

Probability · Mathematics 2023-05-17 Roshan Mahes , Michel Mandjes , Marko Boon , Peter Taylor

We study the problem of scheduling delay-sensitive jobs over spot and on-demand cloud instances to minimize average cost while meeting an average delay constraint. Jobs arrive as a general stochastic process, and incur different costs based…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Neelkamal Bhuyan , Randeep Bhatia , Murali Kodialam , TV Lakshman

The generalized k-server problem is a far-reaching extension of the k-server problem with several applications. Here, each server $s_i$ lies in its own metric space $M_i$. A request is a k-tuple $r = (r_1,r_2,\dotsc,r_k)$ and to serve it,…

Data Structures and Algorithms · Computer Science 2017-07-18 Nikhil Bansal , Marek Elias , Grigorios Koumoutsos , Jesper Nederlof

Current-day data centers and high-volume cloud services employ a broad set of heterogeneous servers. In such settings, client requests typically arrive at multiple entry points, and dispatching them to servers is an urgent distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-27 Guy Goren , Shay Vargaftik , Yoram Moses

We study two generalizations of classic clustering problems called dynamic ordered $k$-median and dynamic $k$-supplier, where the points that need clustering evolve over time, and we are allowed to move the cluster centers between…

Data Structures and Algorithms · Computer Science 2022-07-26 Shichuan Deng , Jian Li , Yuval Rabani

The weighted $k$-server is a variant of the $k$-server problem, where the cost of moving a server is the server's weight times the distance through which it moves. The problem is famous for its intriguing properties and for evading standard…

Data Structures and Algorithms · Computer Science 2025-10-28 Adithya Bijoy , Ankit Mondal , Ashish Chiplunkar

In a call center, staffing decisions must be made before the call arrival rate is known with certainty. Then, once the arrival rate becomes known, the call center may be over-staffed, in which case staff are being paid to be idle, or…

Probability · Mathematics 2014-04-14 Yasar Levent Kocaga , Mor Armony , Amy R. Ward

We consider a general class of dynamic resource allocation problems within a stochastic optimal control framework. This class of problems arises in a wide variety of applications, each of which intrinsically involves resources of different…

Optimization and Control · Mathematics 2018-01-08 Xuefeng Gao , Yingdong Lu , Mayank Sharma , Mark S. Squillante , Joost W. Bosman

This paper considers a Markov decision model for profit maximization of a cloud computing service provider catering to customers submitting jobs with firm real-time random deadlines. Customers are charged on a per-job basis, receiving a…

Optimization and Control · Mathematics 2021-04-27 José Niño-Mora

In multi-server queueing systems where there is no central queue holding all incoming jobs, job dispatching policies are used to assign incoming jobs to the queue at one of the servers. Classic job dispatching policies such as…

Systems and Control · Electrical Eng. & Systems 2021-06-11 Tuhinangshu Choudhury , Gauri Joshi , Weina Wang , Sanjay Shakkottai

We study a class of distributed optimization problems for multiple shared resource allocation in Internet-connected devices. We propose a derandomized version of an existing stochastic additive-increase and multiplicative-decrease (AIMD)…

Systems and Control · Computer Science 2023-10-18 Syed Eqbal Alam , Robert Shorten , Fabian Wirth , Jia Yuan Yu

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

Data Structures and Algorithms · Computer Science 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

We consider a hierarchical edge-cloud architecture in which services are provided to mobile users as chains of virtual network functions. Each service has specific computation requirements and target delay performance, which require placing…

Networking and Internet Architecture · Computer Science 2022-02-21 Itamar Cohen , Carla Fabiana Chiasserini , Paolo Giaccone , Gabriel Scalosub

We study a stochastic variant of the vehicle routing problem arising in the context of domestic donor collection services. The problem we consider combines the following attributes. Customers requesting services are variable, in the sense…

Optimization and Control · Mathematics 2022-07-15 Mohsen Dastpak , Fausto Errico , Ola Jabali

Serverless edge computing adopts an event-based paradigm that provides back-end services on an as-used basis, resulting in efficient resource utilization. To improve the end-to-end latency and revenue, service providers need to optimize the…

Networking and Internet Architecture · Computer Science 2023-10-09 Chen Chen , Manuel Herrera , Ge Zheng , Liqiao Xia , Zhengyang Ling , Jiangtao Wang

Most work on wireless network resource allocation use physical layer performance such as sum rate and outage probability as the figure of merit. These metrics may not reflect the true user QoS in future heterogenous networks (HetNets) with…

Information Theory · Computer Science 2016-11-18 Binnan Zhuang , Dongning Guo , Michael L. Honig

The allocation of computing tasks for networked distributed services poses a question to service providers on whether centralized allocation management be worth its cost. Existing analytical models were conceived for users accessing…

Computer Science and Game Theory · Computer Science 2024-04-09 Vincenzo Mancuso , Paolo Castagno , Leonardo Badia , Matteo Sereno , Marco Ajmone Marsan

Intelligent dispatching is crucial to obtaining low response times in large-scale systems. One common scalable dispatching paradigm is the ``power-of-$d$,'' in which the dispatcher queries $d$ servers at random and assigns the job to a…

Networking and Internet Architecture · Computer Science 2021-12-21 Jazeem Abdul Jaleel , Sherwin Doroudi , Kristen Gardner , Alexander Wickeham
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