On a two-server finite queuing system with ordered entry and deterministic arrivals

W.M. Nawijn

doi:10.1016/0377-2217(84)90161-9

On a two-server finite queuing system with ordered entry and deterministic arrivals

W.M. Nawijn

University of Twente

Research output: Contribution to journal › Article › Academic

9 Citations (Scopus)

1274 Downloads (Pure)

Abstract

Consider a two-server, ordered entry, queuing system with heterogeneous servers and finite waiting rooms in front of the servers. Service times are negative exponentially distributed. The arrival process is deterministic. A matrix solution for the steady state probabilities of the number of customers in the system is derived. The overflow probability will be used to formulate the stability condition of a closed-loop conveyor system with two work stations.

Original language	Undefined
Pages (from-to)	388-395
Journal	European journal of operational research
Volume	18
Issue number	3
DOIs	https://doi.org/10.1016/0377-2217(84)90161-9
Publication status	Published - 1984

Keywords

IR-69274
Queues

Access to Document

10.1016/0377-2217(84)90161-9

Nawijn84on

Cite this

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title = "On a two-server finite queuing system with ordered entry and deterministic arrivals",

abstract = "Consider a two-server, ordered entry, queuing system with heterogeneous servers and finite waiting rooms in front of the servers. Service times are negative exponentially distributed. The arrival process is deterministic. A matrix solution for the steady state probabilities of the number of customers in the system is derived. The overflow probability will be used to formulate the stability condition of a closed-loop conveyor system with two work stations.",

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AB - Consider a two-server, ordered entry, queuing system with heterogeneous servers and finite waiting rooms in front of the servers. Service times are negative exponentially distributed. The arrival process is deterministic. A matrix solution for the steady state probabilities of the number of customers in the system is derived. The overflow probability will be used to formulate the stability condition of a closed-loop conveyor system with two work stations.

KW - IR-69274

KW - Queues

U2 - 10.1016/0377-2217(84)90161-9

DO - 10.1016/0377-2217(84)90161-9

M3 - Article

SN - 0377-2217

VL - 18

SP - 388

EP - 395

JO - European journal of operational research

JF - European journal of operational research

IS - 3

ER -