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Part of book or chapter of book
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zbMATH Open
Article
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https://doi.org/10.1007/bfb004...
Part of book or chapter of book . 2006 . Peer-reviewed
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SIAM Journal on Control and Optimization
Article . 1984 . Peer-reviewed
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Optimal stochastic scheduling of power generation systems with scheduling delays and large cost differentials

Authors: Blankenship, G. L.; Menaldi, J.-L.;

Optimal stochastic scheduling of power generation systems with scheduling delays and large cost differentials

Abstract

This paper considers the ''unit commitment'' problem of scheduling a collection of power generation machines to meet a random demand for power. There are positive startup and operating costs associated with each machine. This ''demand'' is modeled as a diffusion process. The minimal cost function satisfies the optimality system (quasi-variational inequalities). The main idea is to study the behavior of this optimality system under two features: (1) a scheduling delay and (2) different relative magnitudes of the costs (operating or starting) of different units.

Keywords

Deterministic scheduling theory in operations research, stochastic scheduling, Dynamic programming in optimal control and differential games, Variational inequalities, Dynamic programming, quasi-variational inequalities, Optimal stochastic control, unit commitment'' problem, Diffusion processes

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    popularity
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    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Top 10%
Top 10%
Top 10%
bronze