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Risk Assessment of a Stochastic Service System

作     者:Igor Lazov Igor Lazov

作者机构:Faculty of InformaticsEuropean University Skopje1000 SkopjeMacedonia 

出 版 物:《Journal of Systems Science and Systems Engineering》 (系统科学与系统工程学报(英文版))

年 卷 期:2020年第29卷第5期

页      面:537-554页

核心收录:

学科分类:0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 07[理学] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0812[工学-计算机科学与技术(可授工学、理学学位)] 070101[理学-基础数学] 

基  金:The author would like to thank the anonymous referees for their help to improve the quality of the paper 

主  题:Absolute and relative risk uncertainty system information and entropy system utilization stochastic service system 

摘      要:A stochastic service system of finite size M is comprised of identical service facilities,including or not a waiting queue,which simultaneously treats N customers,N∈{0,1,…,M}.Depending on the concepts of system information *** system entropy S=£(f),we promote a risk assessment *** definition,the system entropy is the uncertainty associated with the system,and the system expected loss is the risk associated with the ***,accepting the system information as loss function,we can identify risk and uncertainty,associated with the system,using the entropy as risk ***,we differ risk of the system(i.e.,risk observed by an outside observer),risk observed by an arriving customer,and risk observed by a departing customer,giving a separate expression for each ***,these risks are compared with each other,when the system has the same average number E(N)of customers seen by any *** three risk types(together with the three customer means)allow us to distinguish two systems obeying the same probability *** approach enables system operators to choose suitable values for system utilization and size,in view of the three risks *** developed procedure is applied to the information linear system,Erlang loss system,single-server queueing system with discouraged arrivals,Binomial system and Engset loss system.

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