This paper considers a vehicle dispatching problem with competition. For Poisson arrival processes, three dispatching policies are considered, (i) a C-policy, consisting in sending a vehicle as soon as it is filled to capacity C, (ii) a T-policy, assuming an infinite capacity and consisting in...

A dispatching problem with random availability of vehicles and options to send rented vehicles is considered. We assume passenger arrivals to be described by a pure-birth process. Such a problem is analytically attractive and is shown to have practical applications in vehicle dispatching models....

This paper provides an impulsive stochastic control approach to the vehicle dispatching problem with non-stationary and stochastic arrival rates. Both necessary and sufficient conditions for optimal dispatches are given with proofs given in appendices. It is shown by means of examples that...