NDLI: Fluctuation smoothing policies are stable for stochastic re-entrant lines

Content Provider	IEEE Xplore Digital Library
Author	Kumar, S. Kumar, P.R.
Copyright Year	1994
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA (Kumar, S.; Kumar, P.R.)
Abstract	The authors previously (1992, 1993) proposed a new class of fluctuation smoothing scheduling policies for re-entrant lines. Through extensive simulations, they have demonstrated that these scheduling policies substantially reduce the mean and variance of the cycle time in several models of semiconductor manufacturing plants. In this paper we establish that all the policies in this class of fluctuation smoothing policies for mean cycle time (FSMCT) are stable, in the sense of positive Harris recurrence, for all stochastic re-entrant lines. These constitute the first analytical results on this promising class of scheduling policies for stochastic systems. This is done by showing that the fluid limits corresponding to the FSMCT policies empty in finite time from all suitable initial conditions. A special case of FSMCT policies is the last buffer first serve policy, and its stability is also thus established.<>
Starting Page	1476
Ending Page	1480
File Size	386049
Page Count	5
File Format	PDF
ISBN	0780319680
DOI	10.1109/CDC.1994.411128
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-12-14
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Fluctuations Smoothing methods Stochastic processes Job shop scheduling Processor scheduling Stability analysis Lakes Computational modeling Virtual manufacturing Stochastic systems
Content Type	Text
Resource Type	Article

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