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
  • [31] GI/M/1 TYPE QUEUEING-INVENTORY SYSTEMS WITH POSTPONED WORK, RESERVATION, CANCELLATION AND COMMON LIFE TIME
    Krishnamoorthy, A.
    Shajin, Dhanya
    Lakshmy, B.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2016, 47 (02): : 357 - 388
  • [32] M/M/n/(m, V) QUEUEING SYSTEMS WITH A REJECTION MECHANISM BASED ON AQM
    Ziolkowski, Marcin
    Malek, Jacek
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2013, 12 (01) : 121 - 130
  • [33] IMBEDDED MARKOV CHAINS IN QUEUEING SYSTEMS M/G/1 AND GI/M/1 WITH LIMITED WAITING ROOM
    BHAT, UN
    ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (02): : 540 - &
  • [34] Packet loss characteristics for M/G/1/N queueing systems
    Dieter Fiems
    Stijn De Vuyst
    Sabine Wittevrongel
    Herwig Bruneel
    Annals of Operations Research, 2009, 170
  • [35] Packet loss characteristics for M/G/1/N queueing systems
    Fiems, Dieter
    De Vuyst, Stijn
    Wittevrongel, Sabine
    Bruneel, Herwig
    ANNALS OF OPERATIONS RESEARCH, 2009, 170 (01) : 113 - 131
  • [36] Study of the M/M/1 retrial queueing system with disasters
    Meloshnikova, Natalya P.
    Nazarov, Anatoly A.
    Fedorova, Ekaterina A.
    VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-UPRAVLENIE VYCHISLITELNAJA TEHNIKA I INFORMATIKA-TOMSK STATE UNIVERSITY JOURNAL OF CONTROL AND COMPUTER SCIENCE, 2024, (68):
  • [37] Sensitivity analysis and estimates of the performance for M/G/1 queueing systems
    Yin, Baoqun
    Dai, Guiping
    Li, Yanjie
    Xi, Hongsheng
    PERFORMANCE EVALUATION, 2007, 64 (04) : 347 - 356
  • [38] Continuity theorems for the M/M/1/n queueing system
    Abramov, Vyacheslav M.
    QUEUEING SYSTEMS, 2008, 59 (01) : 63 - 86
  • [39] Optimal admission control for M/D/1/K queueing systems
    Daduna, H
    Knopov, PS
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 1999, 50 (01) : 91 - 100
  • [40] Continuity theorems for the M/M/1/n queueing system
    Vyacheslav M. Abramov
    Queueing Systems, 2008, 59 : 63 - 86
12345