跳至主要内容

Application of the Two Nonzero Component Lemma in Resource Allocation

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=47025#.VGLy6GfHRK0

Author(s)
In this paper we will generalize the author's two nonzero component lemma to general self-reducing functions and utilize it to find closed from answers for some resource allocation problems.
Cite this paper
Seddighin, M. (2014) Application of the Two Nonzero Component Lemma in Resource Allocation. Journal of Applied Mathematics and Physics, 2, 653-661. doi: 10.4236/jamp.2014.27072
 

[1] Gustafson, K. and Rao, D. (1997) Numerical Range. Springer, New York.
http://dx.doi.org/10.1007/978-1-4613-8498-4
[2] Gustafson, K. and Seddighin, M. (1989) Antieigenvalue Bounds. Journal of Mathematical Analysis and Applications, 143, 327-340.
http://dx.doi.org/10.1016/0022-247X(89)90044-9
[3] Seddighin, M. (2002) Antieigenvalues and Total Antieigenvalues of Normal Operators. Journal of Mathematical Analysis and Applications, 274, 239-254.
http://dx.doi.org/10.1016/S0022-247X(02)00295-0
[4] Seddighin, M. (2009) Antieigenvalue Techniques in Statistics. Linear Algebra and Its Applications, 430, 2566-2580.
http://dx.doi.org/10.1016/j.laa.2008.05.007
[5] Seddighin, M. and Gustafson, K. (2005) On the Eigenvalues which Express Antieigenvalues. International Journal of Mathematics and Mathematical Sciences, 2005, 1543-1554.
http://dx.doi.org/10.1155/IJMMS.2005.1543
[6] Ibaraki, T. and Katoh, N. (1988) Resource Allocation Problems. The MIT Press, Cambridge.
[7] Cameron, R. and Kouvartakis, B. (1980) Minimizing the Norm of Output Feedback Controllers Used in Pole Placement: A Dyadic Approach. International Journal of Control, 32, 759-770.
http://dx.doi.org/10.1080/00207178008922889              eww141112lx

评论

此博客中的热门博文

Does Immigration Promote the Investment of the Monopolistic Firm?

In the present paper, we examine the effect of increasing uncertainty of immigrants’ growth on the optimal timing of investment of a firm that has a monopolistic power over the labor market. It is revealed that when the uncertainty of immigrants’ growth is more than a threshold level, increasing uncertainty of immigrants’ growth accelerates the optimal timing of firms’ investment and enhances the economic growth, even if the uncertainty of immigrants’ growth is formulated by the geometric Brownian motion, which is in sharp contrast to the standard result that an increase in the uncertainty postpones the optimal timing. With an increase in the immigrants over the past ten years, workforces in the host countries have been growing significantly to the extent that the immigrants represent 70% of the increase in the workforce in Europe, and 47% in the United States as OECD indicates. In the present paper, we attempted to investigate the effect of increased uncertainty caused by the growi...

Education Policy Implementation: A Mechanism for Enhancing Primary Education Development in Zanzibar

Education is one of the fundamental rights of individuals; therefore, the government of a country needs to develop and strengthen educational policy and quality as well as to ensure that everyone has equal access to basic education. The improvement of access and quality of education in the world is becoming as an essential factor in development, whereas the basic education (primary school), is acknowledged as a foundation of the higher educational development for every country. To fulfill this goal, governments introduce several policies and procedures; however, it requires some reforms and participation from the politician, policymakers, and other stakeholders to re-examine educational policy so that it can lead to multiplication and betterment of the reforms. Educational reforms actually focus on accountability. A positive educational development and reform is very challenging and needs more effort and strategy on how to use and utilize the resources effectively as such it can achie...