scholarly journals Product matrix minimum storage regenerating codes with flexible number of helpers

Author(s):  
Kaveh Mahdaviani ◽  
Soheil Mohajer ◽  
Ashish Khisti
2014 ◽  
Vol 918 ◽  
pp. 295-300
Author(s):  
Peng Fei You ◽  
Yu Xing Peng ◽  
Zhen Huang ◽  
Chang Jian Wang

In distributed storage systems, erasure codes represent an attractive data redundancy solution which can provide the same reliability as replication requiring much less storage space. Multiple data losses happens usually and the lost data should be regenerated to maintain data redundancy in distributed storage systems. Regeneration for multiple data losses is expected to be finished as soon as possible, because the regeneration time can influence the data reliability and availability of distributed storage systems. However, multiple data losses is usually regenerated by regenerating single data loss one by one, which brings high entire regeneration time and severely reduces the data reliability and availability of distributed storage systems. In this paper, we propose a tree-structured parallel regeneration scheme based on regenerating codes (TPRORC) for multiple data losses in distributed storage systems. In our scheme, multiple regeneration trees based on regenerating code are constructed. Firstly, these trees are created independently, each of which dose not share any edges from the others and is responsible for one data loss; secondly, every regeneration tree based on regenerating codes owns the least network traffic and bandwidth optimized-paths for regenerating its data loss. Thus it can perform parallel regeneration for multiple data losses by using multiple optimized topology trees, in which network bandwidth is utilized efficiently and entire regeneration is overlapped. Our simulation results show that the tree-structured parallel regeneration scheme reduces the regeneration time significantly, compared to other regular regeneration schemes.


2011 ◽  
Vol 09 (supp01) ◽  
pp. 415-422
Author(s):  
D. SALGADO ◽  
J. L. SÁNCHEZ-GÓMEZ ◽  
M. FERRERO

We exploit the cone structure of unnormalized quantum states to reformulate the separability problem. Firstly a convex combination of every quantum state ρ in terms of a state Cρ with the same rank and another one Eρ with lower rank is perfomed, with weights 1 − λρ and λρ, respectively. Secondly a scalar [Formula: see text] is computed. Then ρ is separable if, and only if, [Formula: see text]. The computation of [Formula: see text] has been undergone under the simplest choice for Cρ as a product matrix and Eρ being a pure state, valid for any bipartite and multipartite system in arbitrary dimensions. A necessary condition is also formulated when Eρ is not pure in the bipartite case.


2019 ◽  
Vol 8 (1) ◽  
pp. 26-36
Author(s):  
Endah Kurnia Lestari ◽  
Olvi Mifta Alfiatul Jannah

This study aims to (1) discover the shift of economic structure of East Java Province period 2010 and 2015; (2) to identify the various leading sectors in economic development in East Java Province Period 2010 and 2015. The analysis method used in this research is quantitative descriptive by using the Input-Output approach. The linkages between sectors of the economy, leading sectors, and economic sector multipliers have widely used to analyze this approach. Furthermore, structural shifts are analyzed using a multiplier product matrix (MPM) that can describe the landscape of an economy. The results showed that based on the analysis of MPM has not occurred a shift in economic structure significantly. However, there has been a change in the tertiary sector. Although until now, the economy of East Java Province is still dominated by the secondary industry. The leading industry of East Java Province is owned by the manufacturing industry, although there are other potential sectors as the leading sector.


Sign in / Sign up

Export Citation Format

Share Document