This paper describes fleet-size-dependent models for predicting dispat
ching effects in multi-vehicle materials-handling systems. The models
are a direct extension of recently published analytical bounds on empt
y-vehicle travel, which are based exclusively on vehicle travel times
and material flow rates in a system. As with these earlier models, the
models presented in this paper are intended to support the design of
materials-handling systems. By directly accounting for the number of v
ehicles used in a system, the proposed models attempt to provide more
refined insights into the effectiveness of using vehicle dispatching t
o deal with temporary peaks in system workload, as an alternative to d
esigning a system with sufficient capacity to handle worst case operat
ing scenarios. Simulation experiments are used to test the effectivene
ss of the proposed models and provide a comparison with earlier models
reported in the literature.