# 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…

## 35 Citations

### Tandem queues with deterministic service times

- Mathematics, BusinessAnn. Oper. Res.
- 1994

The joint queue length process at all queues is studied in detail for the 2-queue and 3-queue cases, and an approach to the case of an arbitrary number of queues in series is outlined.

### Reduction of a polling network to a single node

- Computer ScienceQueueing Syst. Theory Appl.
- 2008

An arbitrary tree network of polling servers is reduced to a much simpler system of one node, while preserving the mean end-to-end delay of type i packets.

### Equivalent Models and Analysis for Multi-Stage Tree Networks of Deterministic Service Time Queues

- Computer Science
- 2000

This paper presents a method for analyzing packet occupancy in multi-stage tree systems without making any assumptions about the nature of the underlying input processes, and develops an expression for first Moments of queue occupancy in terms of first moments of a simple 1-stage equiva- lent model.

### Equivalent models for queueing analysis of deterministic service time tree networks

- Computer ScienceIEEE Transactions on Information Theory
- 2005

The feedforward tree networks of queues serving fixed-length packets are analyzed and are shown to exhibit a natural traffic smoothing property, where preliminary stages act to smooth or improve traffic for downstream nodes.

### A tandem of discrete-time queues with arrivals and departures at each stage

- MathematicsQueueing Syst. Theory Appl.
- 1996

An approximate analysis of the occupancy and busy-period distributions of each stage based on a General Busy-period with batches and Memoryless (geometric) Idle period renewal Process (GBMIP) provides improved performance over two-state Markov approximations and gives exact results when there are no interstage departures.

### A Tandem Queueing System with Deterministic Service *

- Mathematics
- 2011

This paper deals with the waiting time analysis of a tandem queueing system arising in the context of ATM communication networks and packetized voice systems. The focal point of interest is the…

### Analysis of an open tandem queueing network with population constraint and constant service times

- Mathematics, BusinessMASCOTS '95. Proceedings of the Third International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems
- 1995

It is shown that an open tandem queueing network with population constraint and constant service times can be transformed into a simple network involving only two nodes and an upper and lower bound on the mean waiting time is obtained.

### Analysis of an open tandem queueing network with population constraint and constant service times 1

- Mathematics
- 1996

### Inequality comparisons and traffic smoothing in multi-stage ATM multiplexers

- Business2000 IEEE International Conference on Communications. ICC 2000. Global Convergence Through Communications. Conference Record
- 2000

Deterministic service time queues-if they need to be installed as front ends for a larger network-actually improve upon or smooth the data traffic for downstream nodes, and proves a two-part MultiStage Multiplexing Theorem.

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