This paper studies customer joining behavior and system regulation strategy in nonexhaustive visible M/M/m queues with synchronous vacations of a part of the servers.Once this part of the servers are idle,they take mu...This paper studies customer joining behavior and system regulation strategy in nonexhaustive visible M/M/m queues with synchronous vacations of a part of the servers.Once this part of the servers are idle,they take multiple vacations simultaneously(vacation period).Until there are customers waiting in the queue,they are reactivated and all servers are busy or idle(busy period).The authors call this part of the servers as“partial servers”.In view of the fully visible queue and the almost visible queue,the authors obtain customers’equilibrium joining threshold strategies and their socially optimal joining threshold strategies,respectively,and observe that customer joining behavior in equilibrium generally makes the system overcrowded,which makes the equilibrium social welfare lower than the optimal social welfare.After regulation,interestingly,for optimizing social welfare,the system manager hopes not only customers arriving in vacation period pay attention to the number of partial servers,but also customers arriving in busy period should care about it rather than ignore.Moreover,arranging more servers for vacation does not necessarily lead to the decrease of social welfare on condition that the number of partial servers is close to m.As for the information advantage of the fully visible case,it is not obvious for increasing social welfare and even unfavorable to servers’profit unless the number of partial servers is big enough.Furthermore,given the different composition of social welfare,there exists the optimal number of partial servers and the optimal arrival rate of customers for maximizing social welfare.展开更多
This article examines the effects of reneging, server breakdown and server vacation on the various states of the batch arrivals queueing system with single server providing service to customers in three fluctuating mo...This article examines the effects of reneging, server breakdown and server vacation on the various states of the batch arrivals queueing system with single server providing service to customers in three fluctuating modes. In this queueing system, any batch arrival joins the queue if the server is busy or on vacation or under repair. However, if the server is free, one customer from the arriving batch joins the service immediately while others join the queue. In case of server breakdown, the customer whose service is interrupted returns back to the head of the queue. As soon as the server has is repaired, the server attends to the customer in mode 1. For this queueing system, customers that are impatient due to breakdown and server vacation may renege (leave the queue without getting service). Due to fluctuating modes of service delivery, the system may provide service with complete or reduced efficiency. Consequently, we construct the mathematical model and derive the probability generating functions of the steady state probabilities of several states of the system including the steady state queue size distribution. Further, we discuss some particular cases of the proposed queueing model. We present numerical examples in order to demonstrate the effects of server vacation and reneging on the various states of the system. The study revealed that an increase in reneging and a decrease in server vacation results in a decrease in server utilization and an increase in server’s idle time provided rates of server breakdown and repair completion are constant. In addition, the probability of server vacation, the probability of system is under repair and the probabilities that the server provides service in three fluctuating modes decreases due to an increase in reneging and a decrease in vacation completion rates.展开更多
In this paper, the conflict between individual needs of market and the efficient mass production requirement of manufacture under the background of market globalization is discussed, a trend that the main production m...In this paper, the conflict between individual needs of market and the efficient mass production requirement of manufacture under the background of market globalization is discussed, a trend that the main production mode for domestic steel industry should be the mass customization is pointed out, and the problems to be solved for domestic enterprise are analyzed. Summarizing the practice of Baosteel Co. LTD on the new production mode, the achievements and experiences are presented.展开更多
针对煤炭企业客户关系管理系统的信息化、智能化需求,提出了一种基于SQL Server 2008的煤炭企业智能客户关系管理系统的设计方案;给出了智能客户关系管理系统的数据挖掘流程,详细介绍了SQL Server 2008中的商业智能工具在煤炭企业智能...针对煤炭企业客户关系管理系统的信息化、智能化需求,提出了一种基于SQL Server 2008的煤炭企业智能客户关系管理系统的设计方案;给出了智能客户关系管理系统的数据挖掘流程,详细介绍了SQL Server 2008中的商业智能工具在煤炭企业智能客户关系管理系统中的应用,包括煤炭企业智能客户关系管理系统的集群部署结构及其软件架构。实例分析结果验证了该系统的可行性。展开更多
基金supported by the National Natural Science Foundation of China under Grant No.71971188the Humanities and Social Science Fund of Ministry of Education of China under Grant No.22YJCZH086the Hebei Natural Science Foundation under Grant Nos.G2023203008 and G2022203003。
文摘This paper studies customer joining behavior and system regulation strategy in nonexhaustive visible M/M/m queues with synchronous vacations of a part of the servers.Once this part of the servers are idle,they take multiple vacations simultaneously(vacation period).Until there are customers waiting in the queue,they are reactivated and all servers are busy or idle(busy period).The authors call this part of the servers as“partial servers”.In view of the fully visible queue and the almost visible queue,the authors obtain customers’equilibrium joining threshold strategies and their socially optimal joining threshold strategies,respectively,and observe that customer joining behavior in equilibrium generally makes the system overcrowded,which makes the equilibrium social welfare lower than the optimal social welfare.After regulation,interestingly,for optimizing social welfare,the system manager hopes not only customers arriving in vacation period pay attention to the number of partial servers,but also customers arriving in busy period should care about it rather than ignore.Moreover,arranging more servers for vacation does not necessarily lead to the decrease of social welfare on condition that the number of partial servers is close to m.As for the information advantage of the fully visible case,it is not obvious for increasing social welfare and even unfavorable to servers’profit unless the number of partial servers is big enough.Furthermore,given the different composition of social welfare,there exists the optimal number of partial servers and the optimal arrival rate of customers for maximizing social welfare.
文摘This article examines the effects of reneging, server breakdown and server vacation on the various states of the batch arrivals queueing system with single server providing service to customers in three fluctuating modes. In this queueing system, any batch arrival joins the queue if the server is busy or on vacation or under repair. However, if the server is free, one customer from the arriving batch joins the service immediately while others join the queue. In case of server breakdown, the customer whose service is interrupted returns back to the head of the queue. As soon as the server has is repaired, the server attends to the customer in mode 1. For this queueing system, customers that are impatient due to breakdown and server vacation may renege (leave the queue without getting service). Due to fluctuating modes of service delivery, the system may provide service with complete or reduced efficiency. Consequently, we construct the mathematical model and derive the probability generating functions of the steady state probabilities of several states of the system including the steady state queue size distribution. Further, we discuss some particular cases of the proposed queueing model. We present numerical examples in order to demonstrate the effects of server vacation and reneging on the various states of the system. The study revealed that an increase in reneging and a decrease in server vacation results in a decrease in server utilization and an increase in server’s idle time provided rates of server breakdown and repair completion are constant. In addition, the probability of server vacation, the probability of system is under repair and the probabilities that the server provides service in three fluctuating modes decreases due to an increase in reneging and a decrease in vacation completion rates.
文摘In this paper, the conflict between individual needs of market and the efficient mass production requirement of manufacture under the background of market globalization is discussed, a trend that the main production mode for domestic steel industry should be the mass customization is pointed out, and the problems to be solved for domestic enterprise are analyzed. Summarizing the practice of Baosteel Co. LTD on the new production mode, the achievements and experiences are presented.
文摘针对煤炭企业客户关系管理系统的信息化、智能化需求,提出了一种基于SQL Server 2008的煤炭企业智能客户关系管理系统的设计方案;给出了智能客户关系管理系统的数据挖掘流程,详细介绍了SQL Server 2008中的商业智能工具在煤炭企业智能客户关系管理系统中的应用,包括煤炭企业智能客户关系管理系统的集群部署结构及其软件架构。实例分析结果验证了该系统的可行性。
