Name
Abstract | ||
|---|---|---|
We have introduced excluded volume effect, which is an important factor to
model a realistic pedestrian queue, into queueing theory. The probability
distributions of pedestrian number and pedestrian waiting time in a queue have
been calculated exactly. Due to time needed to close up the queue, the mean
number of pedestrians increases as pedestrian arrival probability ($\lambda$)
and leaving probability ($\mu$) increase even if the ratio between them (i.e.,
$\rho=\lambda/\mu$) remains constant. Furthermore, at a given $\rho$, the mean
waiting time does not increase monotonically with the service time (which is
inverse to $\mu$), a minimum could be reached instead. |
Year | DOI | Keywords |
|---|---|---|
2010 | 10.14495/jsiaml.2.61 | queueing theory,pedestrian dynamics research activity group applied integrable systems,asymmetric simple exclusion process,probability distribution |
Field | DocType | Volume |
Mean value analysis,Kendall's notation,M/D/1 queue,Combinatorics,Bulk queue,Mathematical analysis,Queue,M/D/c queue,Queueing theory,Pollaczek–Khinchine formula,Mathematics | Journal | 2 |
ISSN | Citations | PageRank |
JSIAM Letters, 2, pp. 61-64, 2010 | 2 | 0.77 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Daichi Yanagisawa | 1 | 6 | 6.23 |
| A. Tomoeda | 2 | 7 | 5.37 |
| Rui Jiang | 3 | 22 | 10.14 |
| Katsuhiro Nishinari | 4 | 189 | 47.27 |