Abstract
In dual resource queues jobs not only require the resource of a server but some other resource as well. The amount of the second resource required is variable. Computer jobs requiring both CPU and core are an example. This paper derives stability conditions for these models and properties of their solutions when service times are exponential.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
Brown, R.M., Browne, J.C. and Chandy, K.M., Memory Management and Response Time, Comm ACM, 1977 20, p. 153–166.
Brandwajn, A., A Queueing Model of Multiprogrammed Computer Systems under Full Load Conditions, JACM 1977 24, p. 222–240.
Bard, Y., The Modelling of some Scheduling Strategies for an Interactive Computer System, p. 113–137 of Chandy and Reiser 4.
Chandy, K.M. and Reiser, M. (eds), Computer Performance, North Holland, 1977.
Sauer, C., Approximate Solution of Queueing Networks with Simultaneous Resource Possession, IBM Journal of R & D 1981, p. 894–903.
Jacobson, P.A. and Lazowska, E.D., Analysing Queueing Networks with Simultaneous Resource Possession, CACM 1982, 25 p. 142–151.
Keller, T.W., Computer Systems Models with Passive Resources, Ph.D. Thesis, University of Texas, 1976.
Aein, J.M., A Multi-User-Class, Blocked-Calls-Cleared, Demand Access Model, IEEE Trans. Comm. 1978 26, p. 378–385.
Unwin, A.R., Dual Resource Queueing Models, Ph.D. Thesis, Trinity College Dublin, 1982.
Omahen, K.J. and Marathe, V., A Queueing Model for a Multiprocessor System with Partitioned Memory, Tech. Report CSD-TR 132 Purdue, U. 1975.
Omahen, K.J. Capacity Bounds for Multiresource Queues, JACM 1977 24, p. 646–663.
Lavenberg, S.S., Stability and Maximum Departure Rate of Certain Open Queueing Networks having Finite Capacity Constraints, R.A.I.R.O. Informatique 1978 12, p. 353–370.
Schoute, A.L., Comparison of Global Memory Management Strategies in Visual Memory Systems with Two Classes of Processes, p. 389–414 of Gelenbe 14.
Gelenbe, E. (ed.), Modelling and Performance Evaluation of Computer Systems, North Holland, 1976.
Grassmann, W.K. and Chaudhry, M.L., A New Method to Solve Steady State Queueing Equations, Naval Research Logistics Quarterly 1982, 29, 461–473.
Neuts, M.F., Matrix-Geometric Solutions in Stochastic Models — An Algorithmic Approach, The John Hopkins University Press, Baltimore 1981.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
Unwin, A.R. (1984). Results for dual resource queues. In: Baccelli, F., Fayolle, G. (eds) Modelling and Performance Evaluation Methodology. Lecture Notes in Control and Information Sciences, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0005182
Download citation
DOI: https://doi.org/10.1007/BFb0005182
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13288-2
Online ISBN: 978-3-540-38838-8
eBook Packages: Springer Book Archive