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Marjinal Analiz Yoluyla Güvenilirlik Optimizasyonu

Year 2005, Volume: 4 Issue: 3, 1 - 8, 15.12.2005

Ümit Yüceer

Abstract

Marjinal analizin güvenilirlik redandansı optimizasyonuna bir uyarlaması anlatılmaktadır. Amaç fonksiyonu ayrışık hale dönüştürülüp, konkav olduğu gösterilecek ve marjinal analiz metodunun çok seri ve hızlı bir şekilde, optimal olmasa bile, optimala çok yakın çözümler ürettiği bir örnekle gösterilecektir.

Keywords

Ayrık Konkav Kaynak Tahsisi Problemleri Marjinal Tahsis Algoritması

References

  • FOX, B. (1966), Discrete Optimization via Marginal Analysis, Management Science, 13, 210-216.
  • lBARAKI, T., KATOH, N. (1988), Resource Allocation Problems, the MIT Press.
  • KAO, E. (1976), On lncremental Analysis in Resource Allocations, OR Qarterly, 27, 759-763.
  • KATOH, N., IBARAKI, T. (1998), Resource Arrocation Problems, D.--Z. Du, P.M. Pardalos, eds., Handbook of Combinatorial Optimization, Kluwer Academic, Boston, 159-260.
  • LUENBERGER, D.G. (1973), Introduction to Linear and Nonlinear Programming, Addison-Wesley.
  • MILLER, B.L. (1971), On Minimizing Nonseparable Functions defined on Integers with an Inventory Application,
  • SIAM Journal of Applied Mathematics, 21/1, 166-185.
  • MUROTA, K. (2003), Discrete Convex Analysis, SIAM.
  • PAGES, A., GONDRAN. M. (1986), System Reliability, Springer-Verlag.
  • YÜCEER, Ü. (1999), Marginal Allocation Algorithym for Nonseparable Functions, INFOR, 37, 97- 113.
  • YÜCEER, Ü. (2002), Discrete Convexity: Convexity for functions defined on Discrete Spaces, Discrete Applied Mathematics, 119/3, 299-306.
  • YÜCEER, Ü. (2006), The Equivalence of Discrete Convexity and the Classical Definition of Convexity, International Mathematical Forum.1/5, 299-308.

Redundancy Optimization Via Marginal Analysis

Year 2005, Volume: 4 Issue: 3, 1 - 8, 15.12.2005

Ümit Yüceer

Abstract

An application of marginal analysis to redundancy optimization is presented. The objective function is transformed into a separable function and its discrete concavity is proved. Consequently, the marginal allocarion algorithm obtains near optimal solutions very rapidly. An example illustrates the method.

Keywords

Discrete Concavity Marginal Allocation Algorithm Resource Allocation Problems

References

  • FOX, B. (1966), Discrete Optimization via Marginal Analysis, Management Science, 13, 210-216.
  • lBARAKI, T., KATOH, N. (1988), Resource Allocation Problems, the MIT Press.
  • KAO, E. (1976), On lncremental Analysis in Resource Allocations, OR Qarterly, 27, 759-763.
  • KATOH, N., IBARAKI, T. (1998), Resource Arrocation Problems, D.--Z. Du, P.M. Pardalos, eds., Handbook of Combinatorial Optimization, Kluwer Academic, Boston, 159-260.
  • LUENBERGER, D.G. (1973), Introduction to Linear and Nonlinear Programming, Addison-Wesley.
  • MILLER, B.L. (1971), On Minimizing Nonseparable Functions defined on Integers with an Inventory Application,
  • SIAM Journal of Applied Mathematics, 21/1, 166-185.
  • MUROTA, K. (2003), Discrete Convex Analysis, SIAM.
  • PAGES, A., GONDRAN. M. (1986), System Reliability, Springer-Verlag.
  • YÜCEER, Ü. (1999), Marginal Allocation Algorithym for Nonseparable Functions, INFOR, 37, 97- 113.
  • YÜCEER, Ü. (2002), Discrete Convexity: Convexity for functions defined on Discrete Spaces, Discrete Applied Mathematics, 119/3, 299-306.
  • YÜCEER, Ü. (2006), The Equivalence of Discrete Convexity and the Classical Definition of Convexity, International Mathematical Forum.1/5, 299-308.
There are 12 citations in total.

Details

Primary Language Turkish
Subjects Statistics
Journal Section Research Articles
Authors

Ümit Yüceer This is me

Publication Date December 15, 2005
Published in Issue Year 2005 Volume: 4 Issue: 3

Cite

APA Yüceer, Ü. (2005). Marjinal Analiz Yoluyla Güvenilirlik Optimizasyonu. İstatistik Araştırma Dergisi, 4(3), 1-8.
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