scholarly journals GENERAL QUEUEING NETWORKS WITH BLOCKING. ANALYSIS OF GENERAL TYPE OPEN AND CLOSED QUEUEING NETWORKS WITH FINITE CAPACITY STATIONS AND GENERAL INTERARRIVAL-TIME AND SERVICE-TIME DISTRIBUTIONS

1989 ◽  
Author(s):  
ΝΙΚΟΛΑΟΣ ΞΕΝΙΟΣ
Keyword(s):  
Service Time ◽  
Queueing Networks ◽  
General Type ◽  
Interarrival Time ◽  
Finite Capacity ◽  
Closed Queueing Networks ◽  
Blocking Analysis

Notes on the stability of closed queueing networks

1989 ◽  
Vol 26 (3) ◽  
pp. 678-682 ◽  
Author(s):  
Karl Sigman
Keyword(s):  
Service Time ◽  
Continuous Time ◽  
Queueing Networks ◽  
Queue Length ◽  
Sufficient Conditions ◽  
Time Process ◽  
Closed Queueing Networks ◽  
The Stability ◽  
General Service ◽  
Residual Service

A new proof of the stability of closed Jackson-type queueing networks (with general service-time distributions) is given and sufficient conditions are given for obtaining Cesaro, weak and total variation convergence of the continuous-time joint queue length and residual service-time process to a limiting distribution. The result weakens the sufficient conditions (for stability) of Borovkov (1986) by allowing more general service-time distributions.

Notes on the stability of closed queueing networks

1989 ◽  
Vol 26 (03) ◽  
pp. 678-682 ◽  
Author(s):  
Karl Sigman
Keyword(s):  
Service Time ◽  
Continuous Time ◽  
Queueing Networks ◽  
Queue Length ◽  
Sufficient Conditions ◽  
Time Process ◽  
Closed Queueing Networks ◽  
The Stability ◽  
General Service ◽  
Residual Service

A new proof of the stability of closed Jackson-type queueing networks (with general service-time distributions) is given and sufficient conditions are given for obtaining Cesaro, weak and total variation convergence of the continuous-time joint queue length and residual service-time process to a limiting distribution. The result weakens the sufficient conditions (for stability) of Borovkov (1986) by allowing more general service-time distributions.

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