Go back to Carlos Daganzo's Publications PageMotivated by a container storage problem at seaports, this paper examines the infinite server queueing model with a (second order) stationary but arbitrarily correlated arrival process. It starts with a description of the application context, including an explanation of why non-standard inputs and service times arise in certain container storage problems. As further illustration, formulas characterizing the input and service processes for a particular situation are then presented and justified, together with the simple container accumulation variance formula that follows from the general results derived later.
The paper then describes the general results. After
reviewing the properties of a general arrival process, and based
on minimal assumptions, it presents exact expressions for the
variance of the number of customers in the system. (The
expression for the mean is already well known.) Expressions are
first derived for general independent service times and then for
more general service processes that are of importance in port
applications.
Go back to Carlos Daganzo's Publications Page