Abstract
A mathematical analysis of a two-shuttle system, using car ferries as the example, is formulated as an interdependent queueing system. The main features of the model include a fixed ferry travel time, a single dock on each side, stochastic (Poisson) car arrivals and infinitely large parking lots. Equations are derived to describe the behavior of the system, namely: equations of the number of cars waiting at both ferry docks, times for the two ferries to reach the next docking at appropriate clock times, number of cars on and boarding the ferries, and waiting times of the ferries.
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