Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-28T02:50:58.073Z Has data issue: false hasContentIssue false
  • English
  • Français

Characterizations of inverse problems in queueing and their stability

Published online by Cambridge University Press:  14 July 2016

V. V. Kalashnikov  and
S. T. Rachev
V. V. Kalashnikov*
Affiliation:
Institute for Systems Studies, Moscow
S. T. Rachev*
Affiliation:
Institute of Mathematics, Sofia
*
∗Postal address: Institute for Systems Studies, 9, Prospect 60 let Oktjabrja, 117312 Moscow, USSR.
∗∗Postal address: Steklov Mathematical Institute, 42, Vavilov St., 117333 Moscow, USSR.
Get access Rights & Permissions [Opens in a new window]

Abstract

Two inverse problems in queueing are studied, namely: (i) a restoration of system characteristics, and (ii) a restoration of model classes. These problems are discussed in the framework of a general concept of characterization problems given by Kalashnikov and Rachev (1985).

Keywords

PROBABILITY METRIC
Type
Research Paper
Information
Journal of Applied Probability , Volume 23 , Issue 2 , June 1986 , pp. 459 - 473
Copyright
Copyright © Applied Probability Trust 1986 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ivnitsky, V. A. (1969) On the restoration of the characteristics of single server queue by the output observations. Izv. USSR Akad. Nauk, Tehn. Kybernet. 3, 60–65.Google Scholar
Ivnitsky, V. A. (1977) On the restoration of systems characteristics by the output observations. Theory Prob. Appl. XXII, 188–191.Google Scholar
Kalashnikov, V. V. and Rachev, S. T. (1985) Characterization problems in queueing and their stability. Adv. Appl. Prob. 17, 868–886.Google Scholar
Kendall, D. G. (1964) Some recent works and further problems in the theory of queues. Theory Prob. Appl. IX, 3–15.Google Scholar
Kendall, D. G. and Lewis, L. (1965) On the structural information contained in the output of GI/G/8. Z. Wahrscheinlichkeitsth. 4, 144–148.Google Scholar
Kovalenko, I. N. (1965) On the restoration of the system characteristics by the output observations. Dokl. USSR Akad. Nauk 164, 979–981.Google Scholar
Zolotarev, V. M. (1977) General problems of stability of mathematical models. Bull. Internat. Statist. Inst., XLVII (2), 382–401.Google Scholar
Zolotarev, V. M. (1983) Probability metrics. Theory Prob. Appl. XXVIII, 264–287.Google Scholar