scholarly journals WAITING TIME ANALYSIS OF M^X/G/1 QUEUES WITH/WITHOUT VACATIONS UNDER RANDOM ORDER OF SERVICE DISCIPLINE

2000 ◽  
Vol 43 (4) ◽  
pp. 455-468 ◽  
Author(s):  
Norikazu Kawasaki ◽  
Hideaki Takagi ◽  
Yutaka Takahashi ◽  
Sung-Jo Hong ◽  
Toshiharu Hasegawa
2014 ◽  
Vol 226 (1) ◽  
pp. 527-550 ◽  
Author(s):  
W. Rogiest ◽  
K. Laevens ◽  
J. Walraevens ◽  
H. Bruneel

2000 ◽  
Vol 13 (4) ◽  
pp. 365-392 ◽  
Author(s):  
Norikazu Kawasaki ◽  
Hideaki Takagi ◽  
Yutaka Takahashi ◽  
Sung-Jo Hong ◽  
Toshiharu Hasegawa

We study MX/G/1 nonpreemptive and preemptive-resume priority queues with/without vacations under random order of service (ROS) discipline within each class. By considering the conditional waiting times given the states of the system, which an arbitrary message observes upon arrival, we derive the Laplace-Stieltjes transforms of the waiting time distributions and explicitly obtain the first two moments. The relationship for the second moments under ROS and first-come first-served disciplines extends the one found previously by Takacs and Fuhrmann for non-priority single arrival queues.


Author(s):  
Julian Prell ◽  
Christian Scheller ◽  
Sebastian Simmermacher ◽  
Christian Strauss ◽  
Stefan Rampp

Abstract Objective The quantity of A-trains, a high-frequency pattern of free-running facial nerve electromyography, is correlated with the risk for postoperative high-grade facial nerve paresis. This correlation has been confirmed by automated analysis with dedicated algorithms and by visual offline analysis but not by audiovisual real-time analysis. Methods An investigator was presented with 29 complete data sets measured during actual surgeries in real time and without breaks in a random order. Data were presented either strictly via loudspeaker (audio) or simultaneously by loudspeaker and computer screen (audiovisual). Visible and/or audible A-train activity was then quantified by the investigator with the computerized equivalent of a stopwatch. The same data were also analyzed with quantification of A-trains by automated algorithms. Results Automated (auto) traintime (TT), known to be a small, yet highly representative fraction of overall A-train activity, ranged from 0.01 to 10.86 s (median: 0.58 s). In contrast, audio-TT ranged from 0 to 1,357.44 s (median: 29.69 s), and audiovisual-TT ranged from 0 to 786.57 s (median: 46.19 s). All three modalities were correlated to each other in a highly significant way. Likewise, all three modalities correlated significantly with the extent of postoperative facial paresis. As a rule of thumb, patients with visible/audible A-train activity < 1 minute presented with a more favorable clinical outcome than patients with > 1 minute of A-train activity. Conclusion Detection and even quantification of A-trains is technically possible not only with intraoperative automated real-time calculation or postoperative visual offline analysis, but also with very basic monitoring equipment and real-time good quality audiovisual analysis. However, the investigator found audiovisual real-time-analysis to be very demanding; thus tools for automated quantification can be very helpful in this respect.


Author(s):  
Shigeyoshi Iizuka ◽  
Shozo Nishii ◽  
Eriko Tanimoto ◽  
Hiro Nakazawa ◽  
Asuka Kodaka ◽  
...  

2019 ◽  
Vol 25 (3) ◽  
pp. 136-143
Author(s):  
Felicitas Ugochinyere Idigo ◽  
Kenneth Kalu Agwu ◽  
Obinna Emmanuel Onwujekwe ◽  
Mark Chukwudi Okeji ◽  
Angel-Mary Chukwunyelu Anakwue

1991 ◽  
Vol 28 (02) ◽  
pp. 433-445 ◽  
Author(s):  
Masakiyo Miyazawa ◽  
Genji Yamazaki

The attained waiting time of customers in service of the G/G/1 queue is compared for various work-conserving service disciplines. It is proved that the attained waiting time distribution is minimized (maximized) in convex order when the discipline is FCFS (PR-LCFS). We apply the result to characterize finiteness of moments of the attained waiting time in the GI/GI/1 queue with an arbitrary work-conserving service discipline. In this discussion, some interesting relationships are obtained for a PR-LCFS queue.


2017 ◽  
Vol 01 (02) ◽  
pp. E69-E73
Author(s):  
Nikolas Knudsen ◽  
Thomas Andersen

AbstractThe purpose of this study was to evaluate 3 different starting techniques from the staggered stance with regards to sprint time, reaction time, linear impulse and power. 11 male amateur American football players volunteered to participate in a testing session consisting of twelve 5 m sprints, 4 in each technique (normal (NORM), backwards false step (BFS) and forwards false step (FFS)) in random order. Sprint starts were performed on force plates to investigate ground reaction forces, reaction time and total sprint time. Analysis showed significant differences in sprint times, with NORM (1.77±0.10 s) being faster than FFS (1.81±0.12 s) and BFS (2.01±0.13 s), and FFS being faster than BFS, although no differences were found in reaction time. In terms of mean force and power, NORM (331.1±39.2N, 542.2±72.3W) and FFS (320.8±43.2N, 550.9±81.4W) were significantly larger than BFS (256.9±36.2N, 443.5±61.1W). This indicates that when starting from a staggered stance, the BFS is inferior to the others and should be avoided. However, since the force profiles of the NORM and the FFS were similar, the differences in sprint time could arise from a technique bias towards the NORM start.


1996 ◽  
Vol 39 (4) ◽  
pp. 459-474
Author(s):  
Norikazu Kawasaki ◽  
Hideaki Takagi ◽  
Yutaka Takahashi ◽  
Toshiharu Hasegawa
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