Estimation of Measures in M/M/1 Queue

被引：16

作者：

Srinivas, V. ^{[1
]}

Rao, S. Subba ^{[2
]}

Kale, B. K. ^{[3
]}

机构：

[1] Bangalore Univ, Dept Stat, Bangalore 560056, Karnataka, India

[2] Univ Toledo, Dept Management, Toledo, OH USA

[3] Univ Pune, Dept Stat, Pune, Maharashtra, India

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2011年 / 40卷 / 18期

关键词：

Asymptotic expected deficiency; Maximum likelihood estimator; Nonlinear program; Queues; Uniform minimum variance unbiased estimator; PREDICTION; INFERENCE;

D O I：

10.1080/03610926.2010.498653

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Maximum likelihood and uniform minimum variance unbiased estimators of steady-state probability distribution of system size, probability of at least l customers in the system in steady state, and certain steady-state measures of effectiveness in the M/M/1 queue are obtained/derived based on observations on X, the number of customer arrivals during a service time. The estimators are compared using Asympotic Expected Deficiency (AED) criterion leading to recommendation of uniform minimum variance unbiased estimators over maximum likelihood estimators for some measures.

引用

页码：3327 / 3336

页数：10

共 50 条

[1] Estimation of waiting time distribution in an M/M/1 Queue
Chowdhury S.
Mukherjee S.P.
OPSEARCH, 2011, 48 (4) : 306 - 317
[2] Estimation of Traffic Intensity Based on Queue Length in a Single M/M/1 Queue
Chowdhury, Shovan
Mukherjee, S. P.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2013, 42 (13) : 2376 - 2390
[3] COMPUTING TRANSIENT PERFORMANCE-MEASURES FOR THE M/M/1 QUEUE
VANDECOEVERING, MCT
OR SPEKTRUM, 1995, 17 (01) : 19 - 22
[4] Parametric estimation of an M|Er|1 queue
Vaidyanathan V.S.
Chandrasekhar P.
OPSEARCH, 2018, 55 (3-4) : 628 - 641
[5] FLUID QUEUE DRIVEN BY AN M/M/1 QUEUE
VIRTAMO, J
NORROS, I
QUEUEING SYSTEMS, 1994, 16 (3-4) : 373 - 386
[6] Bayesian Inference and UMVU estimation in the single server M|M|1|∞ queue
Vaidyanathan, V. S.
Bansal, Naveen K.
Chandrasekhar, P.
JOURNAL OF THE INDIAN SOCIETY FOR PROBABILITY AND STATISTICS, 2022, 23 (01) : 211 - 226
[7] Best Unbiased Estimation and CAN Property in the Stable M/M/1 Queue
Srinivas, V.
Udupa, H. Jayakrishna
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2014, 43 (02) : 321 - 327
[8] Measures of Performance in the M/M/1/N Queue via the Methods of Order Statistics
Abdelkader, Yousry H.
Shawky, A. I.
LIFE SCIENCE JOURNAL-ACTA ZHENGZHOU UNIVERSITY OVERSEAS EDITION, 2012, 9 (01): : 945 - 953
[9] Confidence Intervals for Performance Measures of M/M/1 Queue with Constant Retrial Policy
Efrosinin, Dmitry
Winkler, Anastasia
Martin, Pinzger
ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2015, 32 (06)
[10] CALCULATING TIME-DEPENDENT PERFORMANCE-MEASURES FOR THE M/M/1 QUEUE
ABATE, J
WHITT, W
IEEE TRANSACTIONS ON COMMUNICATIONS, 1989, 37 (10) : 1102 - 1104

← 1 2 3 4 5 →