Applications of queueing theory on the optimal design of service systems

Author(s):  
Ergang Shan
2021 ◽  
Author(s):  
Philipp Afèche ◽  
René Caldentey ◽  
Varun Gupta

Designing Fair and Efficient Matching Service Systems


Author(s):  
Ю.В. Горгуца

Строительство рейдовых причалов получило большое развитие в настоящее время. Действующие нормы технологического проектирования морских портов не предлагают решений для открытых акваторий, не защищённых от волнения. В предыдущих работах автора доказана правильность представления потока метеопомех обработке судов простейшим потоком, а длительность действия метеопомех показательным распределением. В данной статье приводятся обоснования характера распределения вероятностей судоподходов и времени обработки судов на рейдовых причалах. С учётом специфики функционирования рейдовых причалов при обработке судов предлагается использовать для расчёта их технологических параметров аппарат теории массового обслуживания (ТМО) для систем массового обслуживания (СМО) с приоритетом, позволяющий адекватно описывать их работу и получать достоверные результаты. Сравнение теоретических расчетов простоев судов по метеофакторам с практическими данными показало высокую сходимость результатов. Offshore terminals building has a huge development nowadays. Existing norms of sea ports technological design do not offer solutions for high seas, unprotected from sea swells. It has been proved in authors previous works that meteorological obstacles flow can be presented as the simplest flow, and meteorological obstacles as exemplary distribution. This article presents justification for character of probability distribution of ships entering and time of ships processing on offshore terminals. Taking into account the specifics of offshore terminals functioning while processing ships, it is proposed to use the apparatus of queueing theory (QT) for public service systems (PSS) for calculating their technological parameters with priority, allowing to describe their work adequately and achieve reliable results. It includes a comparison of theoretical calculations.


1980 ◽  
Vol 17 (3) ◽  
pp. 753-767 ◽  
Author(s):  
D. König ◽  
V. Schmidt

In this paper a unified approach is used for proving relationships between customer-stationary and time-stationary characteristics of service systems with varying service rate and point processes. This approach is based on an intensity conservation principle for general stationary continuous-time processes with imbedded stationary marked point processes. It enables us to work under weaker independence assumptions than usual in queueing theory.


1980 ◽  
Vol 17 (03) ◽  
pp. 753-767 ◽  
Author(s):  
D. König ◽  
V. Schmidt

In this paper a unified approach is used for proving relationships between customer-stationary and time-stationary characteristics of service systems with varying service rate and point processes. This approach is based on an intensity conservation principle for general stationary continuous-time processes with imbedded stationary marked point processes. It enables us to work under weaker independence assumptions than usual in queueing theory.


2015 ◽  
Vol 752-753 ◽  
pp. 1374-1378
Author(s):  
Fei Zhang ◽  
Yang Xu

To realize the optimum parameters combination of product-service systems, a method based on the customer demands was referred. Firstly the customer demands and characteristic were divided into three types. Secondly using the combination of quantitative and qualitative method, the model of different customer satisfaction function to meet the various demands was established through data fitting. Finally more accurate and reasonable parameter combination model was achieved by building the optimal design model to meet the customer demands. Taken the grader company as an example, the validity of this method was proved.


2012 ◽  
Vol 60 (2) ◽  
pp. 363-368 ◽  
Author(s):  
J. Kwiecień ◽  
B. Filipowicz

Abstract. Queueing theory provides methods for analysis of complex service systems in computer systems, communications, transportation networks and manufacturing. It incorporates Markovian systems with exponential service times and a Poisson arrival process. Two queueing systems with losses are also briefly characterized. The article describes firefly algorithm, which is successfully used for optimization of these queueing systems. The results of experiments performed for selected queueing systems have been also presented.


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