scholarly journals Correlations in Output and Overflow Traffic Processes in Simple Queues

2007 ◽  
Vol 2007 ◽  
pp. 1-13
Author(s):  
Don McNickle
Keyword(s):  
Cross Correlation ◽  
Counting Processes ◽  
Storage Space ◽  
Output Process ◽  
Overflow Traffic ◽  
The Cross ◽  
Departure Processes ◽  
Traffic Processes ◽  
Overflow Process

We consider some simple Markov and Erlang queues with limited storage space. Although the departure processes from some such systems are known to be Poisson, they actually consist of the superposition of two complex correlated processes, the overflow process and the output process. We measure the cross-correlation between the counting processes for these two processes. It turns out that this can be positive, negative, or even zero (without implying independence). The models suggest some general principles on how big these correlations are, and when they are important. This may suggest when renewal or moment approximations to similar processes will be successful, and when they will not.

Texture Studies of Gamma Titanium Aluminide Sheets Produced by Melt Overflow Rapid Solidification

1996 ◽  
Vol 460 ◽  
Author(s):  
M. L. Weaver ◽  
H. Garmestani ◽  
G. Das
Keyword(s):  
Residual Stresses ◽  
Rapid Solidification ◽  
Titanium Aluminide ◽  
Texture Development ◽  
Direct Result ◽  
Gamma Titanium Aluminide ◽  
Gamma Titanium ◽  
Deformation Textures ◽  
Overflow Process

ABSTRACTTexture analyses have been conducted on gamma titanium aluminide (γ-TiAI) strips produced using the recently developed plasma melt overflow process. The results indicated that <101] deformation textures persisted in the γ-phase while <0002>, <1010> and <1020> texture components were all observed in the α2-phase. After annealing at 1065°C/48 hrs., the γ-phase textures did not change while the α2-phase changed from a basal to a <1010> texture. It is suggested that the texture development in direct cast γ strips produced using this technique are a direct result of lattice rotations and residual stresses caused by nonuniform cooling.

Overflow processes for multiserver queues with finite waiting room

1984 ◽  
Vol 16 (1) ◽  
pp. 8-8
Author(s):  
Jos H. A. De Smit
Keyword(s):  
Renewal Process ◽  
Numerical Results ◽  
Markov Renewal Process ◽  
Waiting Room ◽  
Multiserver Queues ◽  
Phase Type ◽  
Service Times ◽  
Overflow Process ◽  
Explicit Expressions

The overflow process of the multiserver queue with phase-type service times and finite waiting room is a Markov renewal process. The solution for this process is obtained. If the service times are exponential the overflow process reduces to a renewal process. For the latter case explicit expressions and numerical results are given.

Melt overflow process for direct cast fiber, ribbon and strip

1991 ◽  
Vol 133 ◽  
pp. 676-679 ◽  
Author(s):  
T.A. Gaspar ◽  
L.E. Hackman
Keyword(s):  
Overflow Process
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