Abstract
Chapter 2 discussed network models with batch or concurrent movements of units under reversibility assumptions. Are there comparable models of Whittle networks with batch movements? More generally, are there tractable network models in which a transition may involve a series of simultaneous single- or multiple-unit changes? This chapter describes networks with such characteristics called networks with string transitions, or string-nets for short. In a string-net, a transition consists of a string of instantaneous subtractions or additions of units at the nodes, where the string is randomly selected from a family of variable-length strings. Invariant measures for string-nets resemble those of Whittle networks, but now key parameters in the measures are obtained as solutions to more complicated nonlinear traffic equations.
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