Pointwise stationary fluid models for stochastic processing networks

Achal Bassamboo*, J. Michael Harrison, Assaf Zeevi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

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 practical computation.

Original languageEnglish (US)
Pages (from-to)70-89
Number of pages20
JournalManufacturing and Service Operations Management
Volume11
Issue number1
DOIs
StatePublished - Jan 1 2009

Keywords

  • Abandonments
  • Admission control
  • Approximation
  • Doubly stochastic arrivals
  • Dynamic routing
  • Fluid models
  • Pointwise stationary
  • Stochastic networks

ASJC Scopus subject areas

  • Strategy and Management
  • Management Science and Operations Research

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