FINDING AN EFFICIENT EXPRESSION OF THE TRANSIENT MARKOVIAN QUEUEING SYSTEM USING MATHEMATICA

被引:0
|
作者
Kumar, Ashok [2 ]
Meitei, A. Jiran [1 ]
机构
[1] Univ Delhi, Dept Math, Maharaja Agrasen Coll, Delhi 110007, India
[2] Maharshi Dayanand Univ, Dept Stat, Rohtak 124001, Haryana, India
关键词
Markovian; Bessel function; Q-function; Mathematica; NIntegrate; M/M/1; QUEUE; PERFORMANCE-MEASURES; BEHAVIOR; FORMULA;
D O I
暂无
中图分类号
S [农业科学];
学科分类号
09 ;
摘要
This paper presents a computationally efficient expression for the single server time dependent Markovian Queueing System using Mathematica5.2. A comparative study of some of the existing expressions of the M/M/1 queueing system has been performed.
引用
下载
收藏
页码:449 / 456
页数:8
相关论文
共 50 条
  • [21] A tandem retrial queueing system with two Markovian flows and reservation of channels
    Kim, Che Soong
    Klimenok, Valentina
    Taramin, Olga
    COMPUTERS & OPERATIONS RESEARCH, 2010, 37 (07) : 1238 - 1246
  • [22] On the Counting Process for a Class of Markovian Arrival Processes with an Application to a Queueing System
    Ken’ichi Kawanishi
    Queueing Systems, 2005, 49 : 93 - 122
  • [23] On the counting process for a class of markovian arrival processes with an application to a queueing system
    Kawanishi, K
    QUEUEING SYSTEMS, 2005, 49 (02) : 93 - 122
  • [24] BMAP/G/1 queueing system with two markovian inputs of breakdowns
    Dudin, AN
    Klimenok, VI
    Tsarenkov, GV
    MODELLING AND SIMULATION 2001, 2001, : 754 - 757
  • [25] A BMAP/SM/1 queueing system with markovian arrival input of disasters
    Dudin, A
    Nishimura, S
    JOURNAL OF APPLIED PROBABILITY, 1999, 36 (03) : 868 - 881
  • [26] Optimal pricing and admission control of Markovian queueing system with negative customers
    Liu, Zaiming
    Deng, Wei
    Chen, Gang
    Advances in Modelling and Analysis A, 2017, 54 (02): : 203 - 220
  • [27] The "Sensitive" Markovian queueing system and its application for a call center problem
    Kanavetas, Odysseas
    Balcioglu, Baris
    ANNALS OF OPERATIONS RESEARCH, 2022, 317 (02) : 651 - 664
  • [28] The “Sensitive” Markovian queueing system and its application for a call center problem
    Odysseas Kanavetas
    Barış Balcıog̃lu
    Annals of Operations Research, 2022, 317 : 651 - 664
  • [29] A Markovian Game Theoretic Framework for Analysing a Queueing System with Multiple Servers
    Tin, Pyke
    Zin, Thi Thi
    2024 IEEE GAMING, ENTERTAINMENT, AND MEDIA CONFERENCE, GEM 2024, 2024, : 617 - 620
  • [30] A note on finding peakedness in bivariate normal distribution using Mathematica
    Khurshid, Anwer
    Hussain, Ehtisham
    Masood-ul-Haq
    PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2007, 3 (02) : 75 - 86