Abstract
Queueing models, networks of queues in particular, have been found especially useful for estimating the performance of computer systems. Networks of queues with multiple customer classes provide a flexible framework for modelling computer systems, where a rich set of analytical results and techniques are available. When because of the complexity of the system being modelled the analytical results cannot be applied directly, they often point to fairly accurate approximation schemes. In this paper, we present a brief survey of some of the important results and techniques from the theory of multi-class queueing networks. We also present a case study to illustrate how these results and techniques are used in a real-life situation where many of the modelling constraints are violated.
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References
Baskett F, Chandy K M, Muntz R R, Palacios-Gomez F 1975 Open, closed and mixed networks of queues with different classes of customers.J. Assoc. Comput. Mach. 22: 248–260
Becker S T, Rege K M, Sengupta B 1984 A modelling methodology for sizing a computer based system in a netted environment.Proceedings Assoc. Comput. Mach. Sigmetrics Conference
Brill P H, Posner M J M 1977 Level crossings in point processes applied to queues: Single server case.Oper. Res. 25: 662–674
Buzen J P 1973 Computational algorithms for closed queueing networks with exponential servers.Commun. Assoc. Comput. Mach. 16: 527–531
Chandy K M, Herzag U, Woo L 1975 Parametric analysis of queueing networks.IBM J. Res. Dev. 19: 36–42
Conway R W, Maxwell W L, Miller L W 1967Theory of scheduling (Reading, Mass: Addison-Wesley)
Gordon W J, Newell G F 1967 Closed queueing systems with exponential servers.Oper. Res. 15: 254–265
Jackson J R 1963 Jobshop-like queueing systems.Manage. Sci. 10: 131–142
Kleinrock L 1975Queueing systems (New York: John Wiley) Vol. 1
Kleinrock L 1976Queueing systems (New York: John Wiley) Vol. 2
Lavenberg S S 1988 A perspective on queueing models of computer performance, inQueueing theory and its applications-Liber Amicorum for J W Cohen: CWI Monograph 7 (Amsterdam: North-Holland)
Ott T J 1984 The sojourn time distribution in the M/G/1 queue with processor sharing.J. Appl. Probab. 21: 360–378
Rege K M 1988 Approximate analysis of serial manufacturing lines with buffer control.Inf. Decision Technol. 14: 31–43
Reiser M, Kobayashi H 1975 Queueing networks with multiple closed chains: Theory and computational algorithms.IBM J. Res. Dev. 19: 283–294
Reiser M, Lavenberg S S 1980 Mean-value analysis of closed multi-class queueing networks.J. Assoc. Comput. Mach. 27: 313–322
Towsley D F 1980 Queueing models with state-dependent routing.J. Assoc. Comput. Mach. 27: 323–337
Wolff R M 1970SIAM J. Appl. Math. 19: 566–574
Yashkov S F 1983 A derivation of response time distribution for the M/G/1 processor sharing queue.Prob. Control Inf. Theory 12: 133–148
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Rege, K.M. Multi-class queueing models for performance analysis of computer systems. Sadhana 15, 355–363 (1990). https://doi.org/10.1007/BF02811331
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DOI: https://doi.org/10.1007/BF02811331