Abstract
The processes investigated in this book are those arising from stochastic models for queues, inventories, dams, insurance risk, and data communication. The following brief description of some of these models makes it clear that the common title "storage processes" is appropriate for these processes.
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Selected Bibliography
1 Queueing Models
Benes, V. E. (1963): General Stochastic Processes in the Theory of Queues. Addison-Wesley, Reading, Massachusetts.
Cohen, J.W. (1969): The Single Server Queue. North-Holland, Amsterdam. Revised (1982).
Gnedenko, B. V. and Kovalenko, I. N. (1968): Introduction to Queueing Theory. Israel Program for Scientific Translations, Jerusalem; (1989): 2nd Edition, Birkhäuser, Boston.
Jaiswal, N. K. (1968): Priority Queues. Academic Press, New York.
Kendall, D. G. (1951): Some problems in the theory of queues. J. Roy. Statist. Soc. B 13, 151–185.
Kendall, D. G. (1954): Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain. Ann. Math. Statist. 24, 338–354.
Kleinrock, L. (1975): Queueing Systems, Volume I: Theory. John Wiley, New York. Kleinrock, L. (1976): Queueing Systems, Volume II: Computer Applications. John Wiley, New York.
Prabhu, N. U. (1965): Queues and Inventories: A Study of Their Basic Stochastic Processes. John Wiley, New York.
Syski, R. (1960): Introduction to Congestion Theory in Telephone Systems. Edinburgh: Oliver and Boyd, Edinburgh; (1986): 2nd Edition, Elsevier/NorthHolland, Amsterdam.
Takács, L. (1962): Introduction to the Theory of Queues. Oxford University Press, New York.
2 Inventories
Arrow, K., Karlin, S. and Scarf, H. (1958): Studies in the Mathematical Theory of Inventory and Production. Stanford University Press, Stanford, California.
Tijms, H. C. (1972): Analysis of (s,S) Inventory Models. Mathematics Centre Tracts No. 40. Mathematisch Centrum, Amsterdam.
3 Models For Dams
Hurst, H. E. (1951): Long term storage capacity of reservoirs. Trans. Amer. Soc. Civ. Engrs. 116.
Hurst, H. E. (1956): Methods of Using Long Term Storage in Reservoirs. Inst. Civ. Engrs., London, Paper 6059.
Koopmans, T. C. (1958): Water Storage Policy in a Simplified Hydroelectric System. Cowles Foundation Paper No. 115.
Little, J. D. C. (1955): The use of storage water in a hydroelectric system. Opns. Res. 3, 187–197.
Massé, P. (1946): Les Reserves et la Regulation del ‘Avenir dans la vie Economique. Hermann, Paris.
Moran, P. A. P. (1959): The Theory of Storage. Methuen, London.
Prabhu, N. U. (1965): Op. cit.
4 Insurance Risk
Beard, R. E., Pentikäinen, T., and Personen, E. (1969): Risk Theory. Methuen
London; (1984): 3rd Edition, Chapman & Hall, London, New York.
Beekman, J. A. (1974): Two Stochastic Processes. John Wiley, New York.
Buhlmann, H. (1970): Mathematical Methods in Risk Theory. Springer-Verlag, New York.
Seal, H. L. (1969): Stochastic Theory of a Risk Business. John Wiley, New York. Seal, H. L. (1978): Survival Probabilities: The Goal of Risk Theory. John Wiley, New York.
5 Data Communication Models
Anick, D., Mitra, D., and Sondhi, M. M. (1982): Stochastic theory of data-handling system with multiple sources. Bell System Tech. J. 61, 1871–1894.
Elwalid, A. I. and Mitra, D. (1991): Analysis and design of rate-based congestion control of high speed networks, I: Stochastic fluid models, access regulator. Queueing Systems Theory Appl. 9, 29–64.
Gaver, D. P. and Lehoczky, J. P. (1982)• Channels that cooperatively service a data stream and voice messages. IEEE Trans. Commun. 30 1153–1162.
Mitra, D. (1988): Stochastic theory of a fluid model of producers and consumers coupled by a buffer. Adv. Appl. Probab. 20, 646–676.
Mitra, D. and Mitrani, I. (1991): Communication Systems. Queueing Systems Theory Appl. 9, Nos. 1 & 2.
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Prabhu, N.U. (1998). Introduction. In: Stochastic Storage Processes. Applications of Mathematics, vol 15. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1742-8_1
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DOI: https://doi.org/10.1007/978-1-4612-1742-8_1
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