000 02356nam a2200385 i 4500
001 CR9781108233217
003 UkCbUP
005 20240920165155.0
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008 161124s2022||||enk o ||1 0|eng|d
020 _a9781108233217 (ebook)
020 _z9781108415323 (hardback)
020 _z9781108401173 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA274.8
_b.W43 2022
082 0 0 _a519.8/2
_223
100 1 _aWeiss, Gideon,
_eauthor.
245 1 0 _aScheduling and control of queueing networks /
_cGideon Weiss.
264 1 _aCambridge :
_bCambridge University Press,
_c2022.
300 _a1 online resource (xv, 430 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aInstitute of Mathematical Statistics textbooks ;
_v14
500 _aTitle from publisher's bibliographic system (viewed on 04 Oct 2021).
520 _aApplications of queueing network models have multiplied in the last generation, including scheduling of large manufacturing systems, control of patient flow in health systems, load balancing in cloud computing, and matching in ride sharing. These problems are too large and complex for exact solution, but their scale allows approximation. This book is the first comprehensive treatment of fluid scaling, diffusion scaling, and many-server scaling in a single text presented at a level suitable for graduate students. Fluid scaling is used to verify stability, in particular treating max weight policies, and to study optimal control of transient queueing networks. Diffusion scaling is used to control systems in balanced heavy traffic, by solving for optimal scheduling, admission control, and routing in Brownian networks. Many-server scaling is studied in the quality and efficiency driven Halfin-Whitt regime and applied to load balancing in the supermarket model and to bipartite matching in ride-sharing applications.
650 0 _aQueuing theory.
650 0 _aScheduling
_xMathematics.
650 0 _aSystem analysis
_xMathematics.
776 0 8 _iPrint version:
_z9781108415323
830 0 _aInstitute of Mathematical Statistics textbooks ;
_v14.
856 4 0 _uhttps://doi.org/10.1017/9781108233217
942 _2ddc
_cEB
999 _c10159
_d10159