Pointwise stationary fluid models for stochastic processing networks
Coauthor(s): Achal Bassamboo, J. Richard Harrison.
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Generalizing earlier work on staffing and routing in telephone call centers, we consider a processing network
model with large server pools and doubly stochastic input flows. In this model the processing of a job may
involve several distinct operations. Alternative processing modes are also allowed. Given a finite planning horizon,
attention is focused on the two-level problem of capacity choice and dynamic system control. A pointwise
stationary fluid model (PSFM) is used to approximate system dynamics, which allows development of practical
policies with a manageable computational burden. Earlier work in more restrictive settings suggests that our
method is asymptotically optimal in a parameter regime of practical interest, but this paper contains no formal
limit theory. Rather, it develops a PSFM calculus that is broadly accessible, with an emphasis on modeling and
Source: Manufacturing & Service Operations Management
Bassamboo, Achal, J. Michael Harrison, and Assaf Zeevi. "Pointwise stationary fluid models for stochastic processing networks." Manufacturing & Service Operations Management 11, no. 1 (Winter 2009): 70-89.