A semi-product-form for the equilibrium state probabilities in a pair of queues with finite batches

Author(s):  
P. G. Harrison
2011 ◽  
Vol 21 (01) ◽  
pp. 13-20 ◽  
Author(s):  
THOMAS G. ROBERTAZZI

A product form solution for the optimal fractions of divisible load to distribute to processors in a multi-level tree network is described. Here optimality involves parallel processing the load in a minimal amount of time. This tractable solution is similar to the product form solution for equilibrium state probabilities arising in Markovian queueing networks. The existence of this product form solution answers a long standing open question for divisible load scheduling.


2003 ◽  
Author(s):  
Shi-Jian Luo ◽  
Ming-Xi Tang ◽  
Shang-Shang Zhu ◽  
John Hamilton Frazer ◽  
Shou-Qian Sun ◽  
...  

1979 ◽  
Author(s):  
E. T. Yin ◽  
W. J. Salsgiver ◽  
O. Tangen

Circumstantial evidence suggested that normal human plasma contained a substance regulating the neutralization of F.Xa by F.Xa inhibitor(XaI), (Yin et.al.,Adv.Exper. Med. & Biol., 52 : 239, 1975, Plenum Press, N.Y.).This plasma component has now been isolated and partially purified in our laboratory, and tentatively designated as “Anti-XaI”.In experiments employing purified components, when Anti-XaI was incubated at 37°C with F.Xa, Xal and heparin for two minutes at pH7.5, the amount of F.Xa inhibited was inversely proportional to the Anti-XaI concentration. But, when the F.Xa was replaced by thrombin in the incubation mixture, the neutralization of thrombin clotting activity was undisturbed.Anti-XaI was found to be neither PF3 nor PF4.These and other data strongly suggest that the “Antithrombin III pathway” is more complex than currently believed to be. In circulating blood an equilibrium state must exist between Anti-XaI and XaI.Under certain conditions when the Anti-XaI activity is predominant the rate of F.Xa neutralization bv XaI then becomes slower than the activation of prothrombin to thrombin by F.Xa.


2014 ◽  
Vol 59 (7) ◽  
pp. 689-695 ◽  
Author(s):  
Bulavin L.A. Bulavin L.A. ◽  
◽  
V.Ya. Gotsulskiy ◽  
V.E. Chechko ◽  
◽  
...  

2018 ◽  
Vol 1 (75) ◽  
pp. 32-40
Author(s):  
Alexander Rys’myatov ◽  
◽  
Sergey D’yakov ◽  
Valery Kirillov ◽  
◽  
...  
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