scholarly journals Workload analysis of a two-queue system by formulating a boundary value problem

2006 ◽  
pp. 518-544
Author(s):  
Philippe Nain
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Workload Analysis ◽  
Queue System

The autostrada queueing problem

1984 ◽  
Vol 21 (2) ◽  
pp. 394-403 ◽  
Author(s):  
B. W. Conolly
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Waiting Room ◽  
Queue System ◽  
Room Size ◽  
Fresh Perspective ◽  
Queues In Parallel

The model considered in this note has been referred to by Haight (1958), Kingman (1961) and Flatto and McKean (1977) as two queues in parallel. Customers choose the shorter of the two queues which are otherwise independent. This system is known to be inferior to a single queue feeding the two servers, but how much? Some elementary considerations provide a fresh perspective on this awkward boundary-value problem. A procedure is proposed for the solution in the context of finite waiting-room size and some comparisons are made with the single-queue system and an independent two-queue system.

The autostrada queueing problem

1984 ◽  
Vol 21 (02) ◽  
pp. 394-403 ◽  
Author(s):  
B. W. Conolly
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Waiting Room ◽  
Queue System ◽  
Room Size ◽  
Fresh Perspective ◽  
Queues In Parallel

The model considered in this note has been referred to by Haight (1958), Kingman (1961) and Flatto and McKean (1977) as two queues in parallel. Customers choose the shorter of the two queues which are otherwise independent. This system is known to be inferior to a single queue feeding the two servers, but how much? Some elementary considerations provide a fresh perspective on this awkward boundary-value problem. A procedure is proposed for the solution in the context of finite waiting-room size and some comparisons are made with the single-queue system and an independent two-queue system.

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