M/M/1 Queueing systems with inventory

被引：0
|
作者：
Maike Schwarz
Cornelia Sauer
Hans Daduna
Rafal Kulik
Ryszard Szekli
机构：
[1] University of Hamburg,Department of Mathematics, Center of Mathematical Statistics and Stochastic Processes
[2] University of Wroclaw,undefined
[3] Mathematical Institute,undefined
来源：
Queueing Systems | 2006年 / 54卷
关键词：
Queueing systems; Inventory systems; Performance analysis; Inventory policy; Queue lengths; Service level; Inventory level; Stationary distribution; Convex ordering;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We derive stationary distributions of joint queue length and inventory processes in explicit product form for various M/M/1-systems with inventory under continuous review and different inventory management policies, and with lost sales. Demand is Poisson, service times and lead times are exponentially distributed. These distributions are used to calculate performance measures of the respective systems. In case of infinite waiting room the key result is that the limiting distributions of the queue length processes are the same as in the classical M/M/1/∞-system.
引用
收藏
页码：55 / 78
页数：23
相关论文
共 50 条
  • [1] M/M/1 queueing systems with inventory
    Schwarz, Maike
    Sauer, Cornelia
    Daduna, Hans
    Kulik, Rafal
    Szekli, Ryszard
    QUEUEING SYSTEMS, 2006, 54 (01) : 55 - 78
  • [2] 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
  • [3] Queueing System M/M/1/∞ with Perishable Inventory and Repeated Customers
    A. Z. Melikov
    M. O. Shahmaliyev
    Automation and Remote Control, 2019, 80 : 53 - 65
  • [4] Entropy Estimation for M/M/1 Queueing Systems
    Regnault, Philippe
    BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING, 2012, 1443 : 330 - 337
  • [5] Bayesian sample sizes in an M/M/1 queueing systems
    Quinino, R. C.
    Cruz, F. R. B.
    INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2017, 88 (1-4): : 995 - 1002
  • [6] Bayesian sample sizes in an M/M/1 queueing systems
    R. C. Quinino
    F. R. B. Cruz
    The International Journal of Advanced Manufacturing Technology, 2017, 88 : 995 - 1002
  • [7] On the extreme values of M/M/m queueing systems
    Matsak, Ivan K.
    GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (06) : 917 - 924
  • [8] Pricing in Queueing Systems M/M/m with Delays
    Melnik, Anna V.
    CONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL VII, 2014, 7 : 214 - 220
  • [9] M/M/1 Multiple Vacation Queueing Systems with Differentiated Vacations
    Ibe, Oliver C.
    Isijola, Olubukola A.
    MODELLING AND SIMULATION IN ENGINEERING, 2014, 2014 (2014)
  • [10] An M/M/1 Queueing-Inventory System with Geometric Batch Demands and Lost Sales
    YUE Dequan
    ZHAO Guoxi
    QIN Yaling
    JournalofSystemsScience&Complexity, 2018, 31 (04) : 1024 - 1041
12345