|本期目录/Table of Contents|

[1]叶 宗 文.M/M/C排队模型在理发服务行业中的应用[J].重庆师范大学学报(自然科学版),2009,26(02):75-78.[doi:10.11721/cqnuj20090216]
　YE Zhong-wen.The Application of M/M/C Queuing M/M/C Model in the Barber Service Industries[J].期刊社,2009,26(02):75-78.[doi:10.11721/cqnuj20090216]
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重庆师范大学学报（自然科学版）[ISSN:1672-6693/CN:50-1165/N]

卷:
26
期数:
2009年02期
页码:
75-78
栏目:
理论与应用研究
出版日期:
2009-04-25

文章信息/Info

Title:
The Application of M/M/C Queuing M/M/C Model in the Barber Service Industries
作者:
叶 宗 文
四川理工学院 理学院，四川 自贡 643000
Author(s):
YE Zhong-wen
College of Mathematics and Physics，Sichuan University of Science & Engineering，Zigong Sichuan 643000，China
关键词:
-
Keywords:
-
分类号:
-
DOI:
10.11721/cqnuj20090216
文献标志码:
A
摘要:
将随机服务系统中M/M/C排队模型应用到理发服务行业。笔者对重庆南岸区某理发店进行了现场调查，以10 min为一个调查单位调查顾客到达数，统计了72个调查单位的数据，又随机调查了为113名顾客服务的时间，得到了单位时间内到达的顾客数n和为每位顾客服务的时间t，然后利用 拟合检验，得到单位时间的顾客到达数服从Possion分布，服务时间服从负指数分布，从而建立起M/M/C等待制FCFS排队模型，通过计算和分析M/M/C排队模型的主要指标，得到该理发店宜聘用的最佳理发师数。本文对随机服务系统中的M/M/C排队模型在各行业中的应用具有示范意义。
Abstract:
This thesis is mainly research the application of the queuing model. The theory of this model is applied to the barber service industries. The author carries on the actual statistical survey to the barber shop that it is located in Nan’an District of Chongqing City, The author investigated the customers counts of arriving at the barber shop to 10 minutes for a survey unit and choosed 72 investigative unit data.then the author investigated 113 customers’ service time.The first step, the customer counts that arrive to the barber shop in unit time obedient distribution is carried on the fitting examination. the conclusion is that it obeys the Possion distribution( );then the servicing time of the service system is carries on the distribution fitting examination .the conclusion is the servicing time obedience negative exponent distribution( ); The second step, supposes the barber shop allows the customer waiting .thus establishes the M/M/C queuing model of waiting and FCFS; The third step, according to the formula of the lining up theory calculates the corresponding each lining up target, these formula are the serves intensity ,the probability of system idle, the average waiting customer number in the system, the average stay customer number in the system, the average wait time of the customer, the average residence time of the customer, the probability of system full strength, the probability that the customer must wait for the service when he arrives to the barber shop , and so on. Finally basis each target’s, The barbor shop should employment 4 barbers. This thesis solve the matter of agriculture and industry by mathematic model , it has some demonstrate meaning in applying this model to each industry, and has some inspire effect in application of other queuing model

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更新日期/Last Update: 2009-06-03