A Tandem Network of Queues with Deterministic Service and Intermediate Arrivals

@article{Shalmon1984ATN,
  title={A Tandem Network of Queues with Deterministic Service and Intermediate Arrivals},
  author={Michael Shalmon and Michael A. Kaplan},
  journal={Oper. Res.},
  year={1984},
  volume={32},
  pages={753-773}
}
We present a complete analysis of delays for a tandem network of queues with deterministic service and multiple, interfering sources. The model is of a packet-based data collection system consisting of some finite, but arbitrary, number of stations connected in tandem by a unidirectional, asynchronous transmission network. Packets, or, more generally, tasks enter the system at every station, are handed from station to station in store-and-forward fashion, and exit at the downstream end; there… 

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References

SHOWING 1-10 OF 19 REFERENCES

Message Delays in Repeated-Service Tandem Connections

  • S. Calo
  • Computer Science, Mathematics
    IEEE Trans. Commun.
  • 1981
A number of recent results concerning the delay properties of such systems are presented, including: ordering relations for the successive waiting times in the channel; characterizations of waiting time properties under extreme conditions; and, simple bounds on performance parameters for systems with uniformly bounded service processes.

Two Discrete-Time Queues in Tandem

A discrete-time queueing problem involving two queues in tandem, with unit service time, is considered, and the steady state probability that the length of the second queue exceeds m is calculated.

On a tandem queueing model with identical service times at both counters, I

  • O. Boxma
  • Mathematics, Business
    Advances in Applied Probability
  • 1979
This paper considers a queueing system consisting of two single-server queues in series, in which the service times of an arbitrary customer at both queues are identical. Customers arrive at the

A Two-Fold Tandem Net with Deterministic Links and Source Interference

The problem is to quantify the effect of flow interference on waiting-times in a two-fold tandem network of queues with deterministic servers and two Poisson sources, and an approximation technique is described.

Reduction Methods for Tandem Queuing Systems

It follows that certain steady-state and time-and customer-dependent problems for the system and for its stages can for any interarrival distribution be reduced to corresponding problems for a system of fewer stages, possibly a single stage.

A study of queueing networks with deterministic service and applications to computer networks

The results obtained show that when neglecting the interferences between paths the response time is independent of the order of the stations, and prove the necessity to have a limited memorisation capacity at each node of a packet-switching network.

On a tandem queueing model with identical service times at both counters, II

  • O. Boxma
  • Mathematics
    Advances in Applied Probability
  • 1979
This paper is devoted to the practical implications of the theoretical results obtained in Part I [1] for queueing systems consisting of two single-server queues in series in which the service times

Delay Decomposition at a Single Server queue with Constant Service Time and Multiple Inputs

It is shown that the waiting time experienced by a customer can be decomposed into two basic components called self delay and interference delay.

Superimposed renewal processes and storage with gradual input