scholarly journals Study of Synergistic Effects in Complex Stochastic Systems

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1396
Author(s):  
Gurami Tsitsiashvili
Keyword(s):  
Stochastic Models ◽  
Performance Indicators ◽  
Stochastic Systems ◽  
Synergistic Effects ◽  
Low Complexity ◽  
Asymptotic Estimates ◽  
Mathematical Methods ◽  
Statistical Estimates ◽  
Recurrent Relations ◽  
Multi Server

In this paper, a method for detecting synergistic effects of the interaction of elements in multi-element stochastic systems of separate redundancy, multi-server queuing, and statistical estimates of nonlinear recurrent relations parameters has been developed. The detected effects are quite strong and manifest themselves even with rough estimates. This allows studying them with mathematical methods of relatively low complexity and thereby expand the set of possible applications. These methods are based on special techniques of the structural analysis of multi-element stochastic models in combination with majorant asymptotic estimates of their performance indicators. They allow moving to more accurate and rather economical numerical calculations, as they indicate in which direction it is most convenient to perform these calculations.

Comparing stochastic systems using regenerative simulation with common random numbers

1979 ◽  
Vol 11 (04) ◽  
pp. 804-819 ◽  
Author(s):  
Philip Heidelberger ◽  
Donald L. Iglehart
Keyword(s):  
Stochastic Models ◽  
Stochastic System ◽  
Variance Reduction ◽  
Stochastic Systems ◽  
Sufficient Conditions ◽  
Random Numbers ◽  
Numerical Examples ◽  
Common Random Numbers ◽  
Regenerative Simulation ◽  
Alternative Designs

Suppose two alternative designs for a stochastic system are to be compared. These two systems can be simulated independently or dependently. This paper presents a method for comparing two regenerative stochastic processes in a dependent fashion using common random numbers. A set of sufficient conditions is given that guarantees that the dependent simulations will produce a variance reduction over independent simulations. Numerical examples for a variety of simple stochastic models are included which illustrate the variance reduction achieved.

scholarly journals Multi-Server Multi-User Multi-Task Computation Offloading for Mobile Edge Computing Networks

Sensors ◽  
2019 ◽  
Vol 19 (6) ◽  
pp. 1446 ◽  
Author(s):  
Liang Huang ◽  
Xu Feng ◽  
Luxin Zhang ◽  
Liping Qian ◽  
Yuan Wu
Keyword(s):  
Deep Learning ◽  
Low Complexity ◽  
Edge Computing ◽  
Computation Offloading ◽  
Mobile Edge Computing ◽  
Wireless Devices ◽  
Cloud Server ◽  
Convergence Performance ◽  
Multi Server

This paper studies mobile edge computing (MEC) networks where multiple wireless devices (WDs) offload their computation tasks to multiple edge servers and one cloud server. Considering different real-time computation tasks at different WDs, every task is decided to be processed locally at its WD or to be offloaded to and processed at one of the edge servers or the cloud server. In this paper, we investigate low-complexity computation offloading policies to guarantee quality of service of the MEC network and to minimize WDs’ energy consumption. Specifically, both a linear programing relaxation-based (LR-based) algorithm and a distributed deep learning-based offloading (DDLO) algorithm are independently studied for MEC networks. We further propose a heterogeneous DDLO to achieve better convergence performance than DDLO. Extensive numerical results show that the DDLO algorithms guarantee better performance than the LR-based algorithm. Furthermore, the DDLO algorithm generates an offloading decision in less than 1 millisecond, which is several orders faster than the LR-based algorithm.

New algorithms of numerical–statistical modelling of radiative transfer through stochastic mediums and radiation models homogenization

2014 ◽  
Vol 29 (6) ◽  
Author(s):  
Andrey Yu. Ambos ◽  
Gennady A. Mikhailov
Keyword(s):  
Radiation Transfer ◽  
Statistical Modelling ◽  
Random Numbers ◽  
Asymptotic Estimates ◽  
Radiation Model ◽  
Exponential Factor ◽  
Statistical Estimates ◽  
Simulation Results ◽  
Cross Section Method ◽  
New Algorithms

AbstractNew algorithms for statistical modelling of radiation transfer through stochastic exponentially correlated media are constructed. For this purpose, a special geometrical implementation of the ‘maximum cross-section method’ is developed, which allows us to take into account the absorption of radiation with a weight exponential factor. Asymptotic estimates of the parameters of the homogenized radiation model are constructed relative to the size of the medium. A special ‘distributive’ method of pseudo-random numbers generation used in the paper allows us to perform a comparative analysis of simulation results on the base of the corresponding correlation of statistical estimates.

STUDY OF STOCHASTIC SYSTEMS FOR EPIDEMIC DISEASE MODELS

2012 ◽  
Vol 09 ◽  
pp. 373-379
Author(s):  
SARKHOSH SEDDIGHI CHAHARBORJ ◽  
A. B. MOHD RIZAM ◽  
I. FUDZIAH
Keyword(s):  
Population Size ◽  
Stochastic Models ◽  
Stochastic Systems ◽  
Deterministic Model ◽  
Disease Model ◽  
Small Population ◽  
Disease Models ◽  
Epidemic Disease ◽  
Deterministic Systems ◽  
Homotopy Analysis

As we know there are two kind of systems in modeling epidemic disease, deterministic systems and stochastic systems. This two systems relate to deterministic and stochastic epidemic disease models, respectively. Almost we use deterministic model for big population size and stochastic model for small population size. To use stochastic models for epidemic disease models, can obtain good results with less error. Study and solving of full stochastic models has not been yet investigated so more. In this article we use the homotopy analysis method to solve the full stochastic susceptible-infective epidemic disease model in disease-free equilibrium point.

scholarly journals Stochastic models of the growth dynamics of some dendritic cells

2018 ◽  
Author(s):  
Khairia El-Said El-Nadi Khairia
Keyword(s):  
Dendritic Cells ◽  
Stochastic Models ◽  
Growth Dynamics ◽  
Advanced Stage ◽  
Mathematical Methods ◽  
Stochastic Dynamical Systems ◽  
Subject Classifications ◽  
Different Types ◽  
Aggressive Tumor ◽  
The Ideal

AbstractDifferent models of tumor growth are considered. Some mathematical methods are developed to analyze the dynamics of mutations enabling cells in cancer patients to metas-tize. The mathematical models consist of some stochastic dynamical systems describing tumor cells and immune effectors. It is also considered a method to find the ideal outcome of some treatments. Some different types of dendritic cells are considered. The obtained results will help to find some suitable treatments,which can be successful in returning an aggressive tumor to its passive,non-immune evading state. The principle goal of this paper is to find ways to treat the cancer tumors before they can reach an advanced stage devel-opmen.AMS Subject Classifications92B05, 37C45.

scholarly journals Conceptual provisions for assessing the effectiveness of energy saving

2019 ◽  
Vol 110 ◽  
pp. 02066
Author(s):  
Tatiana Saurenko ◽  
Vladimir Anisimov ◽  
Evgeniy Anisimov ◽  
Irina Bagaeva
Keyword(s):  
Energy Conservation ◽  
Energy Saving ◽  
Energy Management ◽  
Performance Indicators ◽  
Synergistic Effects ◽  
Implementation Process ◽  
Conservation Measures ◽  
Energy Conservation Measures ◽  
Potential Opportunity

The article discusses the conceptual provisions for assessing the effectiveness of the company’s energy saving. It clarifies the concept of “energy efficiency”, and the place of efficiency in the system of characteristics reflecting the quality of the company’s energy management. It is shown that the efficiency is advisable to be considered as a characteristic of the targeted implementation process of the company’s energy management of the relevant energy conservation measures. It reflects the degree of utilization of potential opportunity allocated for the implementation of these activities to achieve the company’s energy saving goals. That is, the efficiency is only one, although very important, aspect of assessing the quality of the company’s energy management. A general approach is proposed for the construction of performance indicators for the creation of models and methods of decision-making support in the process of planning energy saving measures. This approach is based on the requirements that the performance indicators should be measurable and, at the same time, reflect the goal in the name of which energy conservation measures are implemented in the company, accurately reflect the results of these measures, depending on the resources allocated for their implementation, and also consider the synergistic effects of their interaction.

scholarly journals Newton, Laplace, and the Epistemology of Systems Biology

2012 ◽  
Vol 11 ◽  
pp. CIN.S10630
Author(s):  
Michael L. Bittner ◽  
Edward R. Dougherty
Keyword(s):  
Systems Biology ◽  
Systems Theory ◽  
Celestial Mechanics ◽  
Stochastic Systems ◽  
Mathematical Methods

For science, theoretical or applied, to significantly advance, researchers must use the most appropriate mathematical methods. A century and a half elapsed between Newton's development of the calculus and Laplace's development of celestial mechanics. One cannot imagine the latter without the former. Today, more than three-quarters of a century has elapsed since the birth of stochastic systems theory. This article provides a perspective on the utilization of systems theory as the proper vehicle for the development of systems biology and its application to complex regulatory diseases such as cancer.

AN ANALYSES ON PATIENTS’ QUEUING SYSTEM AT MUHAMMAD ABDULLAHI WASE SPECIALIST HOSPITAL, KANO

2021 ◽  
Vol 5 (2) ◽  
pp. 344-350
Author(s):  
Yunusa Ojirobe ◽  
Abubakar Yahaya ◽  
Muhammad Abdulkarim
Keyword(s):  
Waiting Time ◽  
Performance Indicators ◽  
Goodness Of Fit ◽  
Primary Data ◽  
Single Server ◽  
Utilization Factor ◽  
Average Waiting Time ◽  
Number Of Patients ◽  
Multi Server ◽  
System Average

A major cause for concern in hospitals is congestion, which brings about untoward hardship to patients due to long queues and delay in service delivery. This paper seeks to minimize the waiting time of patients by comparing the performance indicators of a single server and multi-server model at the Paediatrics Department of Muhammad Abdullahi Wase Specialist Hospital Kano (MAWSHK). In order to achieve this, primary data was obtained through direct observation which in turn is subjected to the test of goodness of fit to ascertain the distribution that best describes the data. The performance indicators comprising utilization factor, average number of patients in the queue, average number of patients in the system, average waiting time in queue and average waiting time in system for a single server and multi-server model were computed and analyzed respectively. Our findings indicate that the G/G/4 model performs better compared to the G/G/1 model as it minimizes the waiting time of patients

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