Hostname: page-component-848d4c4894-wzw2p Total loading time: 0 Render date: 2024-05-19T00:12:01.943Z Has data issue: false hasContentIssue false

An application of stationary point processes to queueing theory and textile research

Published online by Cambridge University Press:  14 July 2016

J. Sudarsana Rao*
Affiliation:
University of Stockholm and Ahmedabad Textile Industry's Research Association, Ahmedabad

Extract

Throughout this paper we shall be interested in a certain integer-valued process n(t) (t ≧ 0) which is encountered in queueing theory and textile research.

Type
Research Papers
Copyright
Copyright © Sheffield: Applied Probability Trust 

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

[1] Bartlett, M. S. (1956) An Introduction to Stochastic Processes. Cambridge University Press.Google Scholar
[2] Bharucha-Reid, A. T. (1960) Elements of the Theory of Markov Processes and their Applications. McGraw-Hill.Google Scholar
[3] Breny, H. (1957) Recherches sur la Théorie Statistique des Faisceaux de Fibres. Université de Liège.Google Scholar
[4] Breny, H. (1962) Modèles Poissonniens en grappes pour les faisceaux de fibres. Annales Scientifiques Textiles Belges 2, 124.Google Scholar
[5] Cox, D. R. (1962) Renewal Theory. Methuen Monographs.Google Scholar
[6] Fujino, K. and Kabawata, S. (1959) Theoretical analysis of the spectral density of random slivers. J. Text. Mach. Soc. Japan 5, 1.Google Scholar
[7] Fujino, K. and Kabawata, S. (1952) Ibid. 8 (3), 12.Google Scholar
[8] Hannah, M. and Rodden, S. (1956) Variance-length relations in yarns with restricted fibre positions. J. Text. Inst. (Transactions) 47, 402.CrossRefGoogle Scholar
[9] Khintchine, A. Ya. (1960) Mathematical Methods in the Theory of Queueing. Griffin's Statistical Monographs.Google Scholar
[10] Lofgren, Stig (1950) The Fibrogram. Gothenberg.Google Scholar
[11] Martindale, J. G. (1945) A new method of observing the irregularity of yams with some observations on the origin of irregularities in worsted slivers and yams. J. Text. Inst. (Transactions) 36, 35.Google Scholar
[12] Riordan, J. (1962) Stochastic Service Systems. John Wiley.Google Scholar
[13] Rao, J. Sudarsana (1962) Stochastic processes and models in textile research. Indian Statistical Institute, Calcutta (unpublished thesis).Google Scholar
[14] Smith, Walter L. (1958) Renewal theory and its ramifications. J. Roy. Statist. Soc. (B) 20, 243.Google Scholar