Queueing System MAP/M/∞ with n Types of Customers

被引：0
|
作者：
Pankratova, Ekaterina [1 ]
Moiseeva, Svetlana [1 ]
机构：
[1] Natl Res Tomsk State Univ, Tomsk 634050, Russia
来源：
INFORMATION TECHNOLOGIES AND MATHEMATICAL MODELLING | 2014年 / 487卷
关键词：
queueing system; Markovian arrival process; different types of customers; method of initial moments; asymptotic analysis; M/G/INFINITY;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The research of the queueing system with incoming MAP, n types of customers, infinite number of servers and exponential service time is proposed. Investigation of n-dimensional stochastic process that characterizes the number of busy servers for different types of customers is held by the method of initial moments. There are expressions for the characteristic function of the number of busy servers for different types of customers in the system MAP/M/infinity under the asymptotic condition that service time infinitely grows equivalently to each type of customers.
引用
收藏
页码：356 / 366
页数：11
相关论文
共 50 条
  • [1] Queueing System GI|GI|∞ with n Types of Customers
    Pankratova, Ekaterina
    Moiseeva, Svetlana
    INFORMATION TECHNOLOGIES AND MATHEMATICAL MODELLING: QUEUEING THEORY AND APPLICATIONS, ITMM 2015, 2015, 564 : 216 - 225
  • [2] A QUEUEING SYSTEM WITH SEVERAL TYPES OF CUSTOMERS
    SHANBHAG, DN
    ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1969, 21 (02) : 367 - &
  • [3] Tandem Queueing System with Different Types of Customers
    Klimenok, Valentina
    Kim, Che Soong
    Dudin, Alexander
    ANALYTICAL AND STOCHASTIC MODELING TECHNIQUES AND APPLICATIONS, (ASMTA 2011), 2011, 6751 : 99 - 112
  • [4] The M/M/1 Repairable Queueing System with Two Types of Server Breakdowns and Negative Customers
    Lv, Shengli
    Yang, Man
    Wen, Jingyi
    ENGINEERING LETTERS, 2024, 32 (01) : 77 - 83
  • [5] A queueing system with n-phases of service and (n-1)-types of retrial customers
    Langaris, Christos
    Dimitriou, Ioannis
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 205 (03) : 638 - 649
  • [6] The MAP/MSP/1/r queueing system with background customers
    Bocharov, P
    Manzo, R
    Shlumper, L
    ASMTA 2005: 12th International Conference on Analytical and Stochastic Modelling Techniques and Applications, Proceedings, 2005, : 9 - 12
  • [7] Queueing System with Renewal Arrival Process and Two Types of Customers
    Pankratova, Ekaterina
    Moiseeva, Svetlana
    2014 6TH INTERNATIONAL CONGRESS ON ULTRA MODERN TELECOMMUNICATIONS AND CONTROL SYSTEMS AND WORKSHOPS (ICUMT), 2014, : 514 - 517
  • [8] Queueing system MAP|PH|N|N plus R with impatient heterogeneous customers as a model of call center
    Kim, Chesoong
    Dudin, Sergey
    Taramin, Olga
    Baek, Janghyun
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (03) : 958 - 976
  • [9] MMAP|M|N queueing system with impatient heterogeneous customers as a model of a contact center
    Dudin, Sergey
    Kim, Chesoong
    Dudina, Olga
    COMPUTERS & OPERATIONS RESEARCH, 2013, 40 (07) : 1790 - 1803
  • [10] Queueing System M/M/1/ with Perishable Inventory and Repeated Customers
    Melikov, A. Z.
    Shahmaliyev, M. O.
    AUTOMATION AND REMOTE CONTROL, 2019, 80 (01) : 53 - 65
12345