Download PDF by S.-C. Fang, J. R. Rajasekera, H.-S. J. Tsao (auth.): Entropy Optimization and Mathematical Programming

By S.-C. Fang, J. R. Rajasekera, H.-S. J. Tsao (auth.)

ISBN-10: 1461378109

ISBN-13: 9781461378105

ISBN-10: 1461561310

ISBN-13: 9781461561316

Entropy optimization is an invaluable mix of classical engineering idea (entropy) with mathematical optimization. The ensuing entropyoptimization models have proved their usefulness with profitable purposes in parts similar to photo reconstruction, development attractiveness, statistical inference, queuing concept, spectral research, statistical mechanics, transportation making plans, city and neighborhood making plans, input-output research, portfolio funding, details research, and linear and nonlinear programming.
whereas entropy optimization has been utilized in assorted fields, various appropriate answer tools were loosely built with no enough mathematical therapy. a scientific presentation with right mathematical therapy of this fabric is required by means of practitioners and researchers alike in all software parts. the aim of this booklet is to satisfy this want. Entropy Optimization andMathematical Programming deals views that meet the wishes of numerous user communities in order that the clients can practice entropyoptimization techniques with whole convenience and simplicity. With this attention, the authors specialise in the entropy optimization difficulties in finite dimensional Euclidean house such that just some easy familiarity with optimization is needed of the reader.

Show description

Read Online or Download Entropy Optimization and Mathematical Programming PDF

Similar programming books

Get Microsoft SQL Server 7.0 System Administration Training Kit PDF

The objective viewers of this name is SQL Server directors who set up, configure, and aid SQL server in an company community. company proprietors, contractors, and database directors also will locate all they should learn about Microsoft SQL Server.

Read e-book online Programming Interactivity, 2nd Edition PDF

Able to create wealthy interactive reviews together with your paintings, designs, or prototypes? this can be the proper position to begin. With this hands-on advisor, you’ll discover numerous subject matters in interactive paintings and design—including 3D pics, sound, actual interplay, computing device imaginative and prescient, and geolocation—and examine the fundamental programming and electronics innovations you want to enforce them.

New PDF release: Programmare con Python: Guida completa

Python è un linguaggio di programmazione multipiattaforma, robusto e maturo, a cui si affidano le più prestigiose aziende e organizzazioni a livello mondiale, come Google, los angeles NASA, YouTube, Intel e Yahoo! Il suo successo è legato sia al fatto che favorisce l. a. produttività, rendendo semplice lo sviluppo di sistemi software program anche molto complessi, sia al fatto che ha molteplici ambiti di utilizzo: applicazioni internet, giochi e multimedia, interfacce grafiche, networking, applicazioni scientifiche, intelligenza artificiale, programmazione di sistema e tanto altro ancora.

Extra resources for Entropy Optimization and Mathematical Programming

Example text

Ym] with corresponding probabilities pi} ([17], page 544). In other words, i, j = 1, ... , n, and m = 1, ... 64) with M L pi} = 1, V i, j = 1, ... , n. j = Ym] = qi}, for i, j = 1, ... , n, m = 1, ... t. j=l m=l = 1, ... 67) xjYmPi} = U;, i xjYmPi} = Vj, j = 1, ... M n LL ;=1 m=l 2 M L pi} = 1, m=l pi} 2: 0, i, j = 1, ... , n, i, j = 1, ... , n, and m = 1, ... , M. 59) respectively. 7, but they are very similar in the sense that both have only linearly constrained equalities. 8 can be generalized when more complex probability distributions for coefficients a;j occur.

58) j = 1, ... j = 0, i, j = 1, ... , n. 7 is equivalent to a regular cross-entropy minimization problem. 60) LJ-lj(LXjaij - Vj), j=1 i=l where Ai and J-lj, i, j = 1, ... 59), respectively. 61 ) where ri = exp[>"Xj-~) and Sj = exp[l'jXj- ~), for i, j = 1, ... , n. jsjXj), i = 1, ... jXj ), j = 1, ... , n. 63). 63) by an iterative procedure. The name RAS originated from the matrix notation given to the n x n diagonal matrices defined as: R = diag[ri], and S = diag[sj]. It can be shown that ([32], page 310) A = RAoS.

5, 1971, pp. 122-140. , "Traffic Distribution and Entropy," Nature, Vol. 220, 1968, pp. 974-976. , "Practices in Input-Output Table Compilation," Regional Science and Urban Economics, Vol. 24, 1994, pp. 27-54. , "Multicriterion Maximum Entropy Image Reconstruction from Projections," IEEE Transactions on Medical Imaging, Vol. 11, 1992, pp. 70-75. , "A Statistical Theory of Spatial Distribution Models," Transportation Research, Vol. 1, 1967, pp. 253-269. , Entropy in Urban and Regional Planning, Pion, London, 1970.

Download PDF sample

Entropy Optimization and Mathematical Programming by S.-C. Fang, J. R. Rajasekera, H.-S. J. Tsao (auth.)

by Donald

Rated 4.14 of 5 – based on 9 votes