Infinitesimal Analysis
نویسندگان
چکیده
منابع مشابه
Augmented infinitesimal perturbation analysis: An alternate explanation
Augmented infinitesimalperturbation analysis (APA) was introduced by GaJvoronski [ 1991] to increase the purview of the theory of Infinitesimal Perturbation Analysis (IPA). In reference [Gaivoronski 1991] it is shown that an unbiased estimate for the gradient of a class of performance measures of DEDS represented by generalized semi-Markov processes (GSMPs) (cf. [Glynn 1989] can be expressed as...
متن کاملDynamic Bandwidth Allocation Using Infinitesimal Perturbation Analysis
Advances in network management and switching technologies make dynamic bandwidth allocation of logical networks built on top of a physical network possible. Previous proposed dynamic bandwidth allocation algorithms are based on simplified network model. The analytical model is valid only under restrictive assumptions. Infinitesimal Perturbation Analysis, a technique which estimates the gradient...
متن کاملMulti-intersection traffic light control using infinitesimal perturbation analysis
We address the traffic light control problem for multiple intersections in tandem by viewing it as a stochastic hybrid system and developing a Stochastic Flow Model (SFM) for it. Using Infinitesimal Perturbation Analysis (IPA), we derive on-line gradient estimates of a cost metric with respect to the controllable green and red cycle lengths. The IPA estimators obtained require counting traffic ...
متن کاملHistograms of Infinitesimal Neighbourhoods
Image analysis methods that use histograms defined over non-zero-sized local neighbourhoods have been proposed [1-4]. To better understand such methods, one can study the histograms of infinitesimal neighbourhoods. In this paper we show how the properties of such histograms can be derived through limit arguments. We show that in many cases the properties of these histograms are given by simple ...
متن کاملMathematical Pluralism: The Case of Smooth Infinitesimal Analysis
A remarkable development in twentieth-century mathematics is smooth infinitesimal analysis ("SIA"), introducing nilsquare and nilpotent infinitesimals, recovering the bulk of scientifically applicable classical analysis ("CA") without resort to the method of limits. Formally, however, unlike Robinsonian "nonstandard analysis", SIA conflicts with CA, deriving, e.g., "not every quantity is either...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nature
سال: 1898
ISSN: 0028-0836,1476-4687
DOI: 10.1038/059147a0