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The decision process requires information about the present state of the system, but in economy acquiring data and processing them is an expensive and time consuming process. Therefore the state of the system is measured and announced at…

Physics and Society · Physics 2007-09-21 Janusz Miskiewicz

A microscopic approach to macroeconomic features is intended. A model for macroeconomic behavior based on the Ausloos-Clippe-Pekalski model is built and investigated. The influence of a discrete time information transfer is investigated.…

Physics and Society · Physics 2015-06-26 Janusz Miskiewicz , Marcel Ausloos

Delay or queue length information has the potential to influence the decision of a customer to use a service system. Thus, it is imperative for service system managers to understand how the information that they provide will affect the…

Optimization and Control · Mathematics 2016-10-07 Jamol Pender , Richard H. Rand , Elizabeth Wesson

Many biological regulatory systems process signals out of steady state and respond with a physiological delay. A simple model of regulation which respects these features shows how the ability of a delayed output to transmit information is…

Molecular Networks · Quantitative Biology 2013-08-13 Francesca Mancini , Chris H. Wiggins , Matteo Marsili , Aleksandra M. Walczak

The time needed to exchange information in the physical world induces a delay term when the respective system is modeled by differential equations. Time delays are hence ubiquitous, being furthermore likely to induce instabilities and with…

Chaotic Dynamics · Physics 2019-10-31 Hendrik Wernecke , Bulcsú Sándor , Claudius Gros

Pairwise interactions between individuals are taken as fundamental drivers of collective behavior responsible for group cohesion and decision-making. While an individual directly influences only a few neighbors, over time indirect…

Adaptation and Self-Organizing Systems · Physics 2022-04-12 Sulimon Sattari , Udoy S. Basak , Ryan G. James , James P. Crutchfield , Tamiki Komatsuzaki

Time-triggered and event-triggered control strategies for stabilization of an unstable plant over a rate-limited communication channel subject to unknown, bounded delay are studied and compared. Event triggering carries implicit…

Optimization and Control · Mathematics 2017-10-10 Mohammad Javad Khojasteh , Pavankumar Tallapragada , Jorge Cortes , Massimo Franceschetti

We investigate a coordination model for a two-stage collective decision-making problem within the framework of global games. The agents observe noisy signals of a shared random variable, referred to as the fundamental, which determines the…

Computer Science and Game Theory · Computer Science 2026-04-08 Shinkyu Park , Behrouz Touri , Marcos M. Vasconcelos

Giving customers queue length information about a service system has the potential to influence the decision of a customer to join a queue. Thus, it is imperative for managers of queueing systems to understand how the information that they…

Dynamical Systems · Mathematics 2021-08-11 Philip Doldo , Jamol Pender , Richard Rand

There is a fundamental trade-off between the communication cost and latency in information aggregation. Aggregating multiple communication messages over time can alleviate overhead and improve energy efficiency on one hand, but inevitably…

Networking and Internet Architecture · Computer Science 2017-09-25 Chi-Kin Chau , Majid Khonji , Muhammad Aftab

The evolution of networks of coupled chaotic maps with delayed interactions can be studied in the usual way by analyzing the evolution of the state of elements at each iteration time (the "Simulator" point of view), or it can be analyzed…

Pattern Formation and Solitons · Physics 2007-05-23 Parravano Antonio

We introduce economic models based on Boolean Delay Equations: this formalism makes easier to take into account the complexity of the interactions between firms and is particularly appropriate for studying the propagation of an initial…

General Finance · Quantitative Finance 2016-05-06 B. Coluzzi , M. Ghil , S. Hallegatte , G. Weisbuch

Delayed processes are ubiquitous in biological systems and are often characterized by delay differential equations (DDEs) and their extension to include stochastic effects. DDEs do not explicitly incorporate intermediate states associated…

Quantitative Methods · Quantitative Biology 2016-09-28 Jingchen Feng , Stuart Sevier , Bin Huang , Dongya Jia , Herbert Levine

Under the market background of increasingly personalized product demand and compressed response cycle, the traditional manufacturing model with standardized mass production as the core has been difficult to meet the dual expectations of…

Social and Information Networks · Computer Science 2025-11-11 Junchun Ding

Driven by the explosion of data and the impact of real-world networks, a wide array of mathematical models have been proposed to understand the structure and evolution of such systems, especially in the temporal context. Recent advances in…

Probability · Mathematics 2024-09-11 Sayan Banerjee , Shankar Bhamidi , Partha Dey , Akshay Sakanaveeti

We study the impact of competing time delays in coupled stochastic synchronization and coordination problems. We consider two types of delays: transmission delays between interacting elements and processing, cognitive, or execution delays…

Statistical Mechanics · Physics 2011-01-12 D. Hunt , G. Korniss , B. K. Szymanski

In opinion dynamics, time delays in agent-to-agent interactions are ubiquitous, which can substantially disrupt the dynamical processes rooted in agents' opinion exchange, decision-making, and feedback mechanisms. However, a thorough…

Optimization and Control · Mathematics 2025-01-22 Lingling Yao , Aming Li

In this paper, we consider a new queueing model where queues balance themselves according to a mean field interaction with a time delay. Unlike other work with delayed information our model considers multi-server queues with customer…

Dynamical Systems · Mathematics 2021-12-14 Philip Doldo , Jamol Pender

Time-delay systems are, in many ways, a natural set of dynamical systems for natural scientists to study because they form an interface between abstract mathematics and data. However, they are complicated because past states must be…

Chaotic Dynamics · Physics 2007-10-16 D. J. Albers , Fatihcan M. Atay

Understanding how delayed information impacts queueing systems is an important area of research. However, much of the current literature neglects one important feature of many queueing systems, namely non-stationary arrivals. Non-stationary…

Dynamical Systems · Mathematics 2017-01-20 Jamol Pender , Richard H. Rand , Elizabeth Wesson
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