Optimization of Queuing Theory Based on Vague Environment

2016 ◽  
Vol 5 (1) ◽  
pp. 1-26 ◽  
Author(s):  
Verónica Andrea González-López ◽  
Ramin Gholizadeh ◽  
Aliakbar M. Shirazi
Keyword(s):  
Everyday Life ◽  
Real World ◽  
Queuing Theory ◽  
Arrival Rate ◽  
Service Rate ◽  
New Approach ◽  
The Real ◽  
Processing Times ◽  
Queuing Models ◽  
Service Rates

Waiting lines or queues are commonly occurred both in everyday life and in a variety of business and industrial situations. The various arrival rates, service rates and processing times of jobs/tasks usually assumed are exact. However, the real world is complex and the complexity is due to the uncertainty. The queuing theory by using vague environment is described in this paper. To illustrate, the approach analytical results for M/M/1/8 and M/M/s/8 systems are presented. It optimizes queuing models such that the arrival rate and service rate are vague numbers. This paper results a new approach for queuing models in the vague environment that it can be more effective than deterministic queuing models. A numerical example is illustrated to check the validity of the proposed method.

An QPSL Queuing Model for Load Balancing in Cloud Computing

2020 ◽  
Vol 16 (3) ◽  
pp. 33-48
Author(s):  
Shadab Siddiqui ◽  
Manuj Darbari ◽  
Diwakar Yagyasen
Keyword(s):  
Cloud Computing ◽  
Load Balancing ◽  
Queuing Theory ◽  
Service Rate ◽  
Queuing Model ◽  
Queuing Models ◽  
Fifo Queue ◽  
Queue Discipline ◽  
Service Rates ◽  
Waiting Lines

Load balancing is the process of distributing a workload among various servers. Queuing is the most common scenario for day-to-day applications. Queuing theory is used to study the problem of waiting lines. Queuing theory bridges the gap between service demands and the delay in replies given to users. The proposed QPSL Queuing Model makes use of M/M/k queue with FIFO queue discipline for load balancing in cloud computing. The model makes use of exponential distribution for calculating service rates and Poisson distribution for calculating waiting lines. The proposed QPSL queuing model is also compared with other existing queuing models for load balancing on various parameters. The experimental analysis depicts that QPSL model performed better in terms of service rate and response time.

Between Real and Ideal: Documenting Media Art

Leonardo ◽  
2008 ◽  
Vol 41 (4) ◽  
pp. 418-419 ◽  
Author(s):  
Caitlin Jones ◽  
Lizzie Muller
Keyword(s):  
Data Structure ◽  
Real World ◽  
Media Art ◽  
New Approach ◽  
The Real ◽  
Key Features ◽  
The Ideal

This paper describes a new approach to documenting media art which seeks to place in dialogue the artist's intentions and the audience's experience. It explicitly highlights the productive tension between the ideal, conceptual existence of the work, and its actual manifestation through different iterations and exhibitions in the real world. The paper describes how the approach was developed collaboratively during the production of a documentary collection for the artwork Giver of Names, by David Rokeby. It outlines the key features of the approach including artist's interview, audience interviews and data structure.

scholarly journals Performance Modelling of Health-care Service Delivery in Adekunle Ajasin University, Akungba-Akoko, Nigeria Using Queuing Theory

2020 ◽  
pp. 119-127
Author(s):  
Orimoloye Segun Michael
Keyword(s):  
Health Care ◽  
Service Delivery ◽  
Queuing Theory ◽  
Health Care Service ◽  
Health Centre ◽  
Arrival Rate ◽  
Queuing System ◽  
Service Rate ◽  
Suitable Model ◽  
The Mean

The queuing theory is the mathematical approach to the analysis of waiting lines in any setting where arrivals rate of the subject is faster than the system can handle. It is applicable to the health care setting where the systems have excess capacity to accommodate random variation. Therefore, the purpose of this study was to determine the waiting, arrival and service times of patients at AAUA Health- setting and to model a suitable queuing system by using simulation technique to validate the model. This study was conducted at AAUA Health- Centre Akungba Akoko. It employed analytical and simulation methods to develop a suitable model. The collection of waiting time for this study was based on the arrival rate and service rate of patients at the Outpatient Centre. The data was calculated and analyzed using Microsoft Excel. Based on the analyzed data, the queuing system of the patient current situation was modelled and simulated using the PYTHON software. The result obtained from the simulation model showed that the mean arrival rate of patients on Friday week1 was lesser than the mean service rate of patients (i.e. 5.33> 5.625 (λ > µ). What this means is that the waiting line would be formed which would increase indefinitely; the service facility would always be busy. The analysis of the entire system of the AAUA health centre showed that queue length increases when the system is very busy. This work therefore evaluated and predicted the system performance of AAUA Health-Centre in terms of service delivery and propose solutions on needed resources to improve the quality of service offered to the patients visiting this health centre.

Serverless, FaaS and why organizations need them

2021 ◽  
pp. 1-14
Author(s):  
Irina Astrova ◽  
Arne Koschel ◽  
Marc Schaaf ◽  
Samuel Klassen ◽  
Kerim Jdiya
Keyword(s):  
Real World ◽  
Cloud Service ◽  
Software Architectures ◽  
Service Platform ◽  
New Approach ◽  
The Real ◽  
Operational Costs ◽  
The Future ◽  
Depth Study ◽  
Cloud Service Platform

This paper is aimed at helping organizations to understand what they can expect from a serverless architecture in the future and how they can make sound decisions about the choice between microservice and serverless architectures in the present. A serverless architecture is a new approach to offering services in the cloud. It was invented as a solution to the problem that many organizations are facing today – about 85% of their servers have underutilized capacity, which is proved to be costly and wasteful. By employing the serverless architecture, the organizations get a way to eliminate idle, underutilized servers and thus, to reduce their operational costs. Many cloud providers are now jumping to the serverless world because they know it is going to be the future of software architectures. However, being a new approach, the serverless architecture is still relatively immature – it is in the early stages of its support by cloud service platform providers. This paper provides an in-depth study about the serverless architecture and how to apply FaaS in the real world.

Minimum carbon dioxide emission based selection of traffic route with unsignalised junctions in tandem network

2019 ◽  
Vol 30 (3) ◽  
pp. 657-675 ◽  
Author(s):  
Anand Jaiswal ◽  
Cherian Samuel ◽  
Chirag Chandan Mishra
Keyword(s):  
Carbon Dioxide ◽  
Queuing Theory ◽  
Mathematical Formulation ◽  
Carbon Dioxide Emission ◽  
Arrival Rate ◽  
Selection Strategy ◽  
Service Rate ◽  
Content Type ◽  
Fuel Consumption Rate ◽  
Route Choices

Purpose The purpose of this paper is to provide a traffic route selection strategy based on minimum carbon dioxide (CO2) emission by vehicles over different route choices. Design/methodology/approach The study used queuing theory for Markovian M/M/1 model over the road junctions to assess total time spent over each of the junctions for a route with junctions in tandem. With parameters of distance, mean service rate at the junction, the number of junctions and fuel consumption rate, which is a function of variable average speed, the CO2 emission is estimated over each of the junction in tandem and collectively over each of the routes. Findings The outcome of the study is a mathematical formulation, using queuing theory to estimate CO2 emissions over different route choices. Research finding estimated total time spent and subsequent CO2 emission for mean arrival rates of vehicles at junctions in tandem. The model is validated with a pilot study, and the result shows the best vehicular route choice with minimum CO2 emissions. Research limitations/implications Proposed study is limited to M/M/1 model at each of the junction, with no defection of vehicles. The study is also limited to a constant mean arrival rate at each of the junction. Practical implications The work can be used to define strategies to route vehicles on different route choices to reduce minimum vehicular CO2 emissions. Originality/value Proposed work gives a solution for minimising carbon emission over routes with unsignalised junctions in the tandem network.

Optimal control of service rates in networks of queues

1987 ◽  
Vol 19 (1) ◽  
pp. 202-218 ◽  
Author(s):  
Richard R. Weber ◽  
Shaler Stidham
Keyword(s):  
Rate Control ◽  
Queueing Networks ◽  
Arrival Rate ◽  
Service Rate ◽  
Discounted Cost ◽  
Holding Costs ◽  
Optimal Service ◽  
Monotonicity Result ◽  
Service Rates ◽  
Number Of Customers

We prove a monotonicity result for the problem of optimal service rate control in certain queueing networks. Consider, as an illustrative example, a number of ·/M/1 queues which are arranged in a cycle with some number of customers moving around the cycle. A holding cost hi(xi) is charged for each unit of time that queue i contains xi customers, with hi being convex. As a function of the queue lengths the service rate at each queue i is to be chosen in the interval , where cost ci(μ) is charged for each unit of time that the service rate μis in effect at queue i. It is shown that the policy which minimizes the expected total discounted cost has a monotone structure: namely, that by moving one customer from queue i to the following queue, the optimal service rate in queue i is not increased and the optimal service rates elsewhere are not decreased. We prove a similar result for problems of optimal arrival rate and service rate control in general queueing networks. The results are extended to an average-cost measure, and an example is included to show that in general the assumption of convex holding costs may not be relaxed. A further example shows that the optimal policy may not be monotone unless the choice of possible service rates at each queue includes 0.

scholarly journals Service Rate Optimization of Finite Population Queueing Model with State Dependent Arrival and Service Rates

2018 ◽  
Vol 13 (1) ◽  
pp. 60-68
Author(s):  
Sushil Ghimire ◽  
Gyan Bahadur Thapa ◽  
Ram Prasad Ghimire
Keyword(s):  
Finite Population ◽  
Arrival Rate ◽  
Service Rate ◽  
Queueing Model ◽  
State Dependent ◽  
Service Rates ◽  
Rate Optimization

 Providing service immediately after the arrival is rarely been used in practice. But there are some situations for which servers are more than the arrivals and no one has to wait to get served. In this model, arrival rate is

Application of Queuing Theory to Address Traffic Problems at a Highway Toll Plaza

2014 ◽  
Vol 592-594 ◽  
pp. 2583-2587 ◽  
Author(s):  
Dheeraj Duhan ◽  
Nishant Arya ◽  
Prateek Dhanda ◽  
Lalit Upadhayay ◽  
K. Mathiyazhagan
Keyword(s):  
Data Analysis ◽  
Waiting Time ◽  
Traffic Congestion ◽  
Queuing Theory ◽  
Arrival Rate ◽  
North India ◽  
Service Rate ◽  
Operational Effectiveness ◽  
Toll Plazas ◽  
Toll Plaza

In India, due to the escalating traffic issues, a large number of highways have been built in the recent past, which are maintained by tax collection at toll plazas, by various operating agencies. Due to smooth and hassle free driving on highways, the arrival rate of vehicles at Toll Plazas increases. The arrival rate goes beyond control if the traffic on the highway increases in an uncontrolled manner, with the passage of time. Thus, one of the irrefutable drawbacks of putting up Toll Plazas, is the traffic congestion. The waiting time, in the service lanes, due to such a congestion becomes high and excruciating for the commuters on the route. The objective of this study is to analyze the current situation, of traffic congestion, at a highway toll plaza using queuing theory and suggest possible solutions to encourage greater efficiency, thus reducing waiting time of the customers and money wasted because of that. This study has been carried out in various phases, i.e. problem identification, data collection, data analysis and results at a selected Toll Plaza in North India. The data analysis in the study helps to find out the current operational effectiveness of the Toll Plaza through parameters like, Arrival Rate, Service Rate and Number of toll booths. Finally, possible solutions have been put forward which can be recommended and implemented on various Toll Plazas in the country.

Exploring Functions with Dynamic Physical Models

2002 ◽  
Vol 7 (5) ◽  
pp. 274-278
Author(s):  
Ellen Hines
Keyword(s):  
Everyday Life ◽  
Real World ◽  
Physical Models ◽  
The Real ◽  
Dynamic Relationships ◽  
Natural Way

Functions are an important component in the study of mathematics (NCTM 1989, 2000). Learning about the concept of functions can be a natural way for students to “mathematize” the real-world relationships that they observe. Everyday life abounds with opportunities for students to observe and describe dynamic relationships that can be classified as functions.

scholarly journals The peculiarities of euphemistic nomination of phraseologisms-euphemisms that denote poverty in the Russian and English languages

Litera ◽  
2021 ◽  
pp. 82-88
Author(s):  
Yulia Svyatoslavovna Arsentyeva
Keyword(s):  
Real World ◽  
New Approach ◽  
The Real ◽  
Affective Evaluation ◽  
Comparative Aspect ◽  
The Subject

The object of this research is the Russian and English phraseologisms-euphemisms that denote poverty as one of the concepts of euphemistic reflection of the real world. The subject of this research is the peculiarities of euphemistic nomination of phraseologisms-euphemisms with the meaning of poverty in the Russian and English languages. This article is first to examine the Russian and English phraseologism-euphemisms that denote poverty from the perspective of expressing the pejorative real denotation using euphemistic units, the key goal of which is mitigation and hazing of the concept of “poverty”. Such phraseologisms-euphemisms are characterized by pejorative assessment that can be “improved” by neutral or humorous affective evaluation. In conclusion, the author proves that in both languages the key role in better pejorative assessment of poverty is played by figurativeness and prototype of the analyzed phraseologisms-euphemisms. In both languages, a number of phraseologisms-euphemisms are characterized by ameliorative-evaluative prototypes, which in turn, lead to neutralization of pejorative rational assessment. The scientific novelty consists in application of the new approach towards analyzing the phraseological meaning of a peculiar type of phraseological units based on euphemistic nomination. The acquired results can be used in studying the semantics of phraseological units, lexical and phraseological euphemisms, including in the comparative aspect.

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