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The design and analysis of efficient algorithms with the knowledge of current and past inputs is a non-trivial and challenging research area in computer science. In many practical applications the future inputs are not available to the…

Data Structures and Algorithms · Computer Science 2020-10-29 Baisakh , Rakesh Mohanty

For the List Accessing Problem, Move-To-Front(MTF) algorithm has been proved to be the best performing online list accessing algorithm till date in the literature[10]. In this paper, we have made a comprehensive analysis of MTF algorithm…

Data Structures and Algorithms · Computer Science 2011-05-03 Rakesh Mohanty , Sasmita Tripathy

We consider the List Update problem where the cost of each swap is assumed to be 1. This is in contrast to the ``standard'' model, in which an algorithm is allowed to swap the requested item with previous items for free. We construct an…

Data Structures and Algorithms · Computer Science 2025-08-11 Mateusz Basiak , Marcin Bienkowski , Martin Böhm , Marek Chrobak , Łukasz Jeż , Jiří Sgall , Agnieszka Tatarczuk

We study the online list update problem under the advice model of computation. Under this model, an online algorithm receives partial information about the unknown parts of the input in the form of some bits of advice generated by a…

Data Structures and Algorithms · Computer Science 2016-06-07 Joan Boyar , Shahin Kamali , Kim S. Larsen , Alejandro López-Ortiz

The main objective of this survey is to present the important theoretical and experimental results contributed till date in the area of online algorithms for the self organizing sequential search problem, also popularly known as the List…

Data Structures and Algorithms · Computer Science 2009-09-02 Rakesh Mohanty , N. S. Narayanaswamy

We construct a deterministic 4-competitive algorithm for the online file migration problem, beating the currently best 20-year-old, 4.086-competitive MTLM algorithm by Bartal et al. (SODA 1997). Like MTLM, our algorithm also operates in…

Data Structures and Algorithms · Computer Science 2019-06-24 Marcin Bienkowski , Jaroslaw Byrka , Marcin Mucha

The list update problem is a classical online problem, with an optimal competitive ratio that is still open, known to be somewhere between 1.5 and 1.6. An algorithm with competitive ratio 1.6, the smallest known to date, is COMB, a…

Computational Complexity · Computer Science 2014-12-02 Christoph Ambuehl , Bernd Gaertner , Bernhard von Stengel

A natural optimization model that formulates many online resource allocation and revenue management problems is the online linear program (LP) in which the constraint matrix is revealed column by column along with the corresponding…

Data Structures and Algorithms · Computer Science 2014-04-10 Shipra Agrawal , Zizhuo Wang , Yinyu Ye

Online scheduling in identical machines with makespan minimization has been a well studied research problem in the literature. In online scheduling, the scheduler receives a list of jobs one by one and assigns each incoming job on the fly…

Data Structures and Algorithms · Computer Science 2020-01-22 Debasis Dwibedy , Rakesh Mohanty

We propose a new approach to competitive analysis in online scheduling by introducing the novel concept of competitive-ratio approximation schemes. Such a scheme algorithmically constructs an online algorithm with a competitive ratio…

Data Structures and Algorithms · Computer Science 2012-11-01 Elisabeth Günther , Olaf Maurer , Nicole Megow , Andreas Wiese

List accessing problem has been studied as a problem of significant theoretical and practical interest in the context of linear search. Various list accessing algorithms have been proposed in the literature and their performances have been…

Data Structures and Algorithms · Computer Science 2012-06-28 Rakesh Mohanty , Sangita Patel , Shiba Prasad Dash , Burle Sharma

We consider online algorithms for the {\em page migration problem} that use predictions, potentially imperfect, to improve their performance. The best known online algorithms for this problem, due to Westbrook'94 and Bienkowski et al'17,…

Data Structures and Algorithms · Computer Science 2020-06-11 Piotr Indyk , Frederik Mallmann-Trenn , Slobodan Mitrović , Ronitt Rubinfeld

Makespan minimization on identical parallel machines is a classical scheduling problem. We consider the online scenario where a sequence of $n$ jobs has to be scheduled non-preemptively on $m$ machines so as to minimize the maximum…

Data Structures and Algorithms · Computer Science 2012-03-09 Susanne Albers , Matthias Hellwig

This work studies online scheduling algorithms for buffer management, develops new algorithms, and analyzes their performances. Packets arrive at a release time r, with a non-negative weight w and an integer deadline d. At each time step,…

Data Structures and Algorithms · Computer Science 2025-11-21 Nourhan Sakr , Cliff Stein

For the static list update problem, given an ordered list $\rho_0$ (an ordering of the list $L$ = \{ $a_a, a_2, ..., a_l$ \}), and a sequence $\sigma = (\sigma_1, \sigma_2, ..., \sigma_m)$ of requests for items in $L$, we characterize the…

Data Structures and Algorithms · Computer Science 2014-05-01 Srikrishnan Divakaran

Motivated primarily by applications in cloud computing, we study a simple, yet powerful, online allocation problem in which jobs of varying durations arrive over continuous time and must be assigned immediately and irrevocably to one of the…

Data Structures and Algorithms · Computer Science 2025-06-10 Farbod Ekbatani , Yiding Feng , Ian Kash , Rad Niazadeh

We consider the online machine minimization problem in which jobs with hard deadlines arrive online over time at their release dates. The task is to determine a feasible schedule on a minimum number of machines. Our main result is a general…

Data Structures and Algorithms · Computer Science 2015-06-19 Lin Chen , Nicole Megow , Kevin Schewior

We study a competitive facility location problem (CFLP), where two firms sequentially open new facilities within their budgets, in order to maximize their market shares of demand that follows a probabilistic choice model. This process is a…

Optimization and Control · Mathematics 2022-07-19 Mingyao Qi , Ruiwei Jiang , Siqian Shen

This paper investigates an information update system in which a mobile device monitors a physical process and sends status updates to an access point (AP). A fundamental trade-off arises between the timeliness of the information maintained…

Networking and Internet Architecture · Computer Science 2026-01-09 Yu-Pin Hsu , Yi-Hsuan Tseng

Planning in partially observable Markov decision processes (POMDPs) remains a challenging topic in the artificial intelligence community, in spite of recent impressive progress in approximation techniques. Previous research has indicated…

Artificial Intelligence · Computer Science 2012-10-19 Zhongzhang Zhang , Xiaoping Chen
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