The cycle time distribution of cyclic two-stage queues with a non-exponential server

2006 ◽  
pp. 639-653
Author(s):  
H. Daduna
Keyword(s):  
Cycle Time ◽  
Time Distribution ◽  
Two Stage

On the Cycle Time Distribution in a Two-Stage Cyclic Network with Blocking

1989 ◽  
Vol 15 (10) ◽  
pp. 1206-1216 ◽  
Author(s):  
S. Balsamo ◽  
L. Donatiello
Keyword(s):  
Cycle Time ◽  
Time Distribution ◽  
Two Stage ◽  
Cyclic Network

Analysis of production cycle-time distribution with a big-data approach

2020 ◽  
Vol 31 (8) ◽  
pp. 1889-1897 ◽  
Author(s):  
Xu Tan ◽  
Lining Xing ◽  
Zhaoquan Cai ◽  
Gaige Wang
Keyword(s):  
Big Data ◽  
Cycle Time ◽  
Time Distribution ◽  
Production Cycle

Effects of phosphorus limitation and temperature on PHA production in activated sludge

2004 ◽  
Vol 50 (8) ◽  
pp. 135-143 ◽  
Author(s):  
S. Chinwetkitvanich ◽  
C.W. Randall ◽  
T. Panswad
Keyword(s):  
Activated Sludge ◽  
Nutrient Limitation ◽  
Growth Phase ◽  
Cycle Time ◽  
Phosphorus Limitation ◽  
Two Stage ◽  
Mixed Liquor ◽  
Pha Production ◽  
Effects Of Temperature ◽  
And Storage

The study was designed to investigate the effects of temperature and phosphorus limitation on polyhydroxyalkanoate (PHA) production and storage by activated sludge biomass. The two-stage operation approach, i.e. a growth phase followed by a nutrient limitation phase, was applied to induce PHA accumulation. The pre-selected temperatures of 10, 20 and 30°C were investigated under phosphorus limitation conditions using three four-litre fully aerobic SBR systems operated at an SRT of 10 days with cycle time and HRT of 6 and 10 hours. PHA production was greater in the 10°C system than in the 20°C and 30°C systems but there was little difference between the two higher temperatures. The maximum PHA fractions of the sludge were 52, 45 and 47%TSS for the three temperatures from low to high, and the maximum PHA concentrations in the mixed liquors were 1,491, 1,294 and 1,260 mg/l, respectively. However, it was observed that very low values of PHA yield per unit COD consumed were obtained, i.e., 0.05, 0.03 and 0.04 mgPHA/mgCODu, for the 10, 20 and 30°C reactors, respectively. This was because all three systems required several days to reach maximum PHA accumulation in their mixed liquor biomasses. It is probable the bacteria still had some stored poly-P in their cells upon initiation of the phosphorus limited influent, and PHA accumulation was delayed until the stored phosphorus was depleted. Also, PHA productivity was reduced by the large amounts of biomass lost from the systems because of sludge bulking.

Burke's theorem on passage times in Gordon–Newell networks

1984 ◽  
Vol 16 (04) ◽  
pp. 867-886
Author(s):  
Hans Daduna
Keyword(s):  
Cycle Time ◽  
Time Distribution ◽  
Passage Time ◽  
The Other ◽  
Single Server ◽  
Closed Cycle ◽  
Closed Networks ◽  
Multiserver Queues ◽  
Simple Product ◽  
Passage Times

In a closed cycle of exponential queues where the first and the last nodes are multiserver queues while the other nodes are single-server queues, the cycle-time distribution has a simple product form. The same result holds for passage-time distributions on overtake-free paths in Gordon–Newell networks. In brief, we prove Burke's theorem on passage times in closed networks.

Cycle time distribution measurements in spouted beds

1975 ◽  
Vol 53 (5) ◽  
pp. 579-581 ◽  
Author(s):  
Vzi Mann ◽  
E. J. Crosby
Keyword(s):  
Cycle Time ◽  
Time Distribution ◽  
Spouted Beds

Burke's theorem on passage times in Gordon–Newell networks

1984 ◽  
Vol 16 (4) ◽  
pp. 867-886 ◽  
Author(s):  
Hans Daduna
Keyword(s):  
Cycle Time ◽  
Time Distribution ◽  
Passage Time ◽  
The Other ◽  
Single Server ◽  
Closed Cycle ◽  
Closed Networks ◽  
Multiserver Queues ◽  
Simple Product ◽  
Passage Times

In a closed cycle of exponential queues where the first and the last nodes are multiserver queues while the other nodes are single-server queues, the cycle-time distribution has a simple product form. The same result holds for passage-time distributions on overtake-free paths in Gordon–Newell networks. In brief, we prove Burke's theorem on passage times in closed networks.

scholarly journals Cycle times in a starlike network with state-dependent routing

1987 ◽  
Vol 1 (1) ◽  
pp. 1-12
Author(s):  
Hans Daduna
Keyword(s):  
Cycle Time ◽  
Time Distribution ◽  
Recursive Algorithm ◽  
Product Form ◽  
Stieltjes Transform ◽  
Cycle Times ◽  
State Dependent ◽  
Server System

For a star like network (central server system) with state dependent branching we compute the cycle time distribution. The Laplace-Stieltjes transform of this distribution is of product form. This allows to define a recursive algorithm for evaluation of cycle time moments of any order.

Sign in / Sign up

Export Citation Format

Share Document