Static optimization of queueing systems

@inproceedings{Boxma1995StaticOO,
  title={Static optimization of queueing systems},
  author={Onno J. Boxma},
  year={1995}
}
textabstractThis paper discusses some recent developments in the static optimization of queueing systems. Special attention is given to three problem classes: (i) the optimal allocation of servers, or service capacity, to queues in a network; (ii) the optimal allocation of the visits of a single server to several queues (a polling system); (iii) the optimal allocation of a single arrival stream to several single server queues. 
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References

SHOWING 1-10 OF 47 REFERENCES
Analysis of a Customer Assignment Model with No State Information
TLDR
It turns out that the periodic policies found by the recently developed algorithm for Markov decision chains with partial state information are close, if not equal, to the optimal ones. Expand
Optimization of Static Traac Allocation Policies
We consider the traac allocation problem: arriving customers have to be assigned to one of a group of servers. The aim is to optimize system performance measures, such as mean waiting time of aExpand
Introduction to queueing networks
TLDR
A comparison of G-Networks with Multiple Classes of Signals and Positive Customers and Discrete-Time Queueing Systems shows how different approaches to queue management can produce different results. Expand
Allocation of buffer capacities in queueing networks with arbitrary topologies
TLDR
Two algorithms are developed to allocate buffers to service stations connected arbitrarily in a feed-forward manner and are easy-to-use tools to explore alternative buffer storage configurations and parameter settings during the initial design stages of production systems, communications networks, and flexible manufacturing systems. Expand
On optimal polling policies
TLDR
The goal of this paper is to find polling policies that stochastically minimize the unfinished work and the number of customers in the system at all times and it is established that in symmetric polling systems optimal policies belong to the class of Stochastically Largest Queue policies. Expand
Analysis of Cyclic Service Systems with Limited Service: Bounds and Approximations
TLDR
This paper analyzes cyclic service queueing systems in which the server serves at most a prespecified number of jobs when it visits a queue, and derives tight bounds for the conservation laws in such systems. Expand
Optimal probabilistic allocation of customer types to servers
  • S. Borst
  • Computer Science
  • SIGMETRICS '95/PERFORMANCE '95
  • 1995
TLDR
This work considers the problem of finding an allocation that minimizes a weighted sum of the mean waiting times and exposes the structure of an optimal allocation and describes for some special cases in detail how the structure may be exploited in actually determining an optimal allocations. Expand
Dynamic priority rules for cyclic-type queues
A cyclic service system is composed of K channels (queues) and a single cyclically roving server who typically takes a positive amount of time to switch between channels. Research has previouslyExpand
Optimization of fixed time polling schemes
TLDR
This paper presents an approach to the problem of minimizing a weighted sum of the mean waiting times at the various queues according to a fixed time polling scheme and tests this approach via numerical experiments that are partly based on real network data. Expand
Optimization of Polling Systems with Bernoulli Schedules
TLDR
A numerical approach to determine the optimal schedule of cyclic polling systems with respect to the service disciplines at the nodes, based on the power-series algorithm, is discussed. Expand
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