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The Slow Server Problem for Uninformed Customers

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Abstract

In this paper, we analyze systems that can be modelled by M ∨ M ∨ n queues with heterogeneous servers and non informed customers. We solve the balance equations. We present a threshold result for a system with an arbitrary number n of servers, i.e. we show that there is a value of arrival rate below which the slow server should not be used and above which it should be used. The structure of the slow server problem for uninformed costumers is investigated. Results for homogeneous systems are also provided in order to add insight into the structure of the problem.

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Authors and Affiliations

  1. Universidade Estadual do Rio Grande do Sul, Est. de Santa Maria, 2300, Bairro Ramada, Guaiba, RS, 92500-000, Brazil

    Fabricio Bandeira Cabral

Authors
  1. Fabricio Bandeira Cabral
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Correspondence to Fabricio Bandeira Cabral.

Additional information

Supported by grants from CAPES, CNPq, FAPESP and FAPERJ.

AMS subject classification: 90B22, 60K25, 68M20

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Cabral, F.B. The Slow Server Problem for Uninformed Customers. Queueing Syst 50, 353–370 (2005). https://doi.org/10.1007/s11134-005-3283-2

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  • DOI: https://doi.org/10.1007/s11134-005-3283-2

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