Complex motion induced by elevator choice in peak traffic

Nagatani, Takashi

doi:10.1016/j.physa.2015.05.045

Cited by 15 publications

(6 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As the number of passengers increases, multiple calling will be solved by one round-trip, and the movement of the elevator will gradually become oscillating. More interestingly, multiple elevators sometimes spontaneously get closer to each other and move together [11][12][13][14][15][16][17][18][19][20]. Such cluster movements appear to be similar to traffic jams, however, while traffic jams are caused by increasing the vehicle density, increasing the number of elevators does not promote cluster movements.…”

Section: Introductionmentioning

confidence: 99%

The synchronization of elevators when not all passengers will ride the first-arriving elevator

Tanida¹

2022

Preprint

View full text Add to dashboard Cite

The cluster motion of busy multiple elevators is considered to be one of the synchronization phenomena of autonomous oscillators. In this paper, we focus on the coupling interaction between elevators and investigated the difference in the elevators' dynamics during down peak when the elevators are isolated and when they are coupled, by using numerical simulation. Assuming that the coupling interaction between elevators is passengers who can ride in the earlier-arriving elevators, we introduce a control parameter that the rate of those passengers. We demonstrate that both the order parameter and round-trip time increase with the control parameter increase. Compared with the case that the inflow of passengers increases simply, the tendency of the order parameter is similar, however, that of the round-trip time is opposite. To explain the relation of those parameters and outputs and clarify the mechanism of the cluster motion, we made simple mathematical models and show how the rate of passengers who can ride in the earlier-arriving elevators affects the cluster motion of the two elevators. Finally, by introducing the phase, we investigate the interaction which causes the in-phase synchronization of elevators.

show abstract

Section: Introductionmentioning

confidence: 99%

The synchronization of elevators when not all passengers will ride the first-arriving elevator

Tanida¹

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Elevators are another example of transportation systems exhibiting nontrivial out-of-equilibrium behaviors. The multiple elevators move as clusters in the crowded case, which seem similar to traffic jams [11][12][13][14][15][16][17][18][19][20]. However, the elevators exhibit different spontaneous ordering from the traffic jam as the out-of-equilibrium oscillators.…”

Section: Introductionmentioning

confidence: 99%

“…Such difference can be simply interpreted as the difference in the volume exclusion effect of vehicles. Since elevators interact with each other through the existence of waiting passengers instead of the volume exclusion effect, it was found that the clustering of elevators emerges by increasing rather the mean number of passengers coming in a unit time, or the inflow, than the vehicle density [11][12][13][14][15][16][17][18][19][20]. The dependence of dynamics on the inflow is reported in various scenarios, such as during downand up-peak periods [11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

“…Since elevators interact with each other through the existence of waiting passengers instead of the volume exclusion effect, it was found that the clustering of elevators emerges by increasing rather the mean number of passengers coming in a unit time, or the inflow, than the vehicle density [11][12][13][14][15][16][17][18][19][20]. The dependence of dynamics on the inflow is reported in various scenarios, such as during downand up-peak periods [11][12][13][14][15][16][17][18][19][20]. Recent studies propose stochastic models and show the typical time of round trips in steady-state at each inflow [14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

“…The dependence of dynamics on the inflow is reported in various scenarios, such as during downand up-peak periods [11][12][13][14][15][16][17][18][19][20]. Recent studies propose stochastic models and show the typical time of round trips in steady-state at each inflow [14][15][16][17][18][19]. Those models assume that elevators' motion is a limit cycle by setting the elevators necessarily stop at both the highest and ground floors.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dynamic behavior of elevators under random inflow of passengers

Tanida

2020

Preprint

View full text Add to dashboard Cite

Elevators can be regarded as oscillators driven by the calls of passengers who arrive randomly. We study the dynamic behavior of elevators during the down peak period by simulation and analytical calculation. We assume that new passengers arrive according to a Poisson process on each floor and call the elevators to go down to the ground floor. We numerically examine how the round trip time depends on the inflow rate of passengers on each floor and reproduce it by an equation considering the combination of floors where call occurs. We also examine the degree of the synchronization of two elevators by setting an order parameter.

show abstract

Complex Dynamics of Bus, Tram, and Elevator Delays in Transportation Systems

Nagatani¹

2019

Complex Dynamics of Traffic Management

View full text Add to dashboard Cite

Complex motion induced by elevator choice in peak traffic

Cited by 15 publications

References 52 publications

The synchronization of elevators when not all passengers will ride the first-arriving elevator

The synchronization of elevators when not all passengers will ride the first-arriving elevator

Dynamic behavior of elevators under random inflow of passengers

Complex Dynamics of Bus, Tram, and Elevator Delays in Transportation Systems

Contact Info

Product

Resources

About