Miscellaneous Networks

This chapter deals with several applications and variations of the network models developed in the preceding chapters. We first show how to use Whittle processes to model networks with multiple types of units, where the routings and services may depend on a customer’s type. This includes Kelly networks with deterministic routes for units, and BCMP networks with Cox and general service times depending on a unit’s type. We also discuss several forms of blocking in networks, and bottlenecks in closed Jackson networks. The chapter ends with a discussion of partial balance equations in modeling networks.