Exclusive queueing model including the choice of service windows

Abstract

In a queueing system involving multiple service windows, choice behavior is a significant concern. This paper incorporates the choice of service windows into a queueing model with a floor represented by discrete cells.We contrived a logit-based choice algorithm for agents considering the numbers of agents and the distances to all service windows. Simulations were conducted with various parameters of agent choice preference for these two elements and for different floor configurations, including the floor length and the number of service windows. We investigated the model from the viewpoint of transit times and entrance block rates.The influences of the parameters on these factors were surveyed in detail and we determined that there are optimum floor lengths that minimize the transit times. In addition, we observed that the transit times were determined almost entirely by the entrance block rates. The results of the presented model are relevant to understanding queueing systems including the choice of service windows and can be employed to optimize facility design and floor management.

Hybrid Dynamic Route Planning Model for Pedestrian Microscopic Simulation at Subway Station

“…Unlike the first choice, as the pedestrian is considerable close to the gates when he makes the second-time and the third-time route choices, he would pay more attention to the distance between his current position and the gate (i.e., OA j ). So the estimated walking time can be simplified to (12). What is more, at that time, the estimations on distance and population size are relatively accurate.…”

“…This model was also applied to the selection of ticket gates in subway stations. Reference [12] calculated the probability by an exponential function of distance and queue number. Among the studies attempting to model route choice behaviour, the Logit model based on the utility of each route [13] has been proved as a popular and practical approach.…”

“…Similarly, [36] divided them into the active and the conservative. Reference [12] even considered four types of window choice strategies. It has been proved that the uncertainties will affect the results of path selection, but they have not been explicitly addressed in the existing literature.…”

Analysis of Lifeboat Embarkation Efficiency for Cruise Passengers under Multiple Scenarios

“…In considering the effect of walking distance [26] and volume [27] of the pedestrian in the queuing process, Yanagisawa et al established the pedestrian queuing system [28] combined the queuing theory with the microspatial discrete model in pedestrian dynamics. Taking service windows as objects [29], they studied the influence of pedestrian tendencies, windows locations, queue length on pedestrian transit time, and entrance blocking rate.…”