Name
Abstract | ||
|---|---|---|
To improve service reliability, many transit agencies include significant amounts of slack in the schedule. However, too much slack in the schedule reduces service frequency, given a fixed vehicle fleet size. We study the problem of determining the optimal slack that minimizes the passengers' expected waiting times under schedule-based control. By applying a D/G/c queue model, we show that the system is stable if slack is added in the schedule. For a single-bus loop transit network, we derive convexity of mean and variance of bus delays and provide an exact solution if the travel time is exponentially distributed. For the case of multiple buses and other travel time distributions, we provide several approximation approaches and compare them to simulation results. The simulation results show that our approximations are good for interval of appropriate slack, which often contains the optimal value. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1287/trsc.1060.0170 | Transportation Science |
Keywords | Field | DocType |
optimal value,transit agency,d/g/c queue,simulation result,optimal slack time,service frequency,schedule-based transit operations,optimal slack,travel time distribution,single-bus loop transit network,slack time,appropriate slack,travel time,transit operation,service reliability,exact solution,exponential distribution | Mathematical optimization,Convexity,Scheduling (computing),Queue,Least slack time scheduling,Bus bunching,Exponential distribution,Travel time,Operations management,Mathematics | Journal |
Volume | Issue | ISSN |
40 | 4 | 0041-1655 |
Citations | PageRank | References |
22 | 2.63 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jiamin Zhao | 1 | 95 | 8.35 |
| Maged Dessouky | 2 | 479 | 39.53 |
| Satish Bukkapatnam | 3 | 22 | 2.63 |