The Lighthouse Journal of Computational & Numerical Sciences

An Optimized Active Monitoring Load Balancing (OAMLB) Algorithm using Cloud Analyst Tool in Cloud Computing

2023-02-23T04:06:13+00:00

Cloud-Computing (CC) is a quickly developing and extended technology that grant on request assistance to the users. Many organizations are embracing cloud technology as a consequence of its promising features like security, flexibility, efficiency, reasonable cost, scalability, freedom from backup plan etc. Cloud-Computing (CC) is growing rapidly, but it also faces some challenges, like reliability, resource allocation, data management, load balancing, fault tolerance, failure avoidance etc. Load balancing is one prominent research topic for researchers in the field of distributed computing. Many researchers proposed various techniques
and approaches for managing the users’ requests efficiently. The primary goal of this paper is to enhance the “Active_Monitoring_Load_Balancing (AMLB) Algorithm.” The major downside of the AMLB algorithm is that it does not check the capacity of virtual machine (VM), it only checks their status (available/busy); and assigns the load to the available virtual machine (VM) regardless of the load that is accomplished by the available VM. This led to the problem of over utilization of the available VM. The proposed technique/algorithm named as “Optimized Active Monitoring Load Balancing” (OAMLB) algorithm overcomes the drawback of existing one. The proposed algorithm is run and tested in cloud analyst using various cloud analyst parameters. The experiment and analysis of OAMLB shows that it has 61% improved performance in regard to both “response time” and “data center processing time” with comparison to “Round Robin” algorithm.

Multilevel Modeling Approach for Assessing the Performance of Primary School Students

2023-02-23T04:12:12+00:00

Education is extremely important in today's society. The primary goal of
education, as well as educational institutions, is to improve a person's
physical, mental, and social well-being. The current study not only focuses
on the impact of basic education, but also investigates the factors that
influence students' and institutes' academic performance at various levels
using a statistical multilevel model. The purpose of this study was to
determine the academic performance of primary school pupils (especially
in the fourth and fifth grades) and their institutions in Peshawar. The
study's goals were to examine the performance of primary school children
in both private and public schools, as well as their gender and
socioeconomic background. The data was acquired using a crosssectional
data collection approach from 346 schools with a total of 2565
kids, 1259 of whom attended government primary schools and 1305 of
whom attended private primary schools. Female students made up 49.7%
of the sample, while male students made up 50.3 percent. The dependent
variable is the performance of elementary school students, which is
measured by their exam scores. The results of the study revealed that
gender had a substantial impact on outcomes, but parental support had no
bearing. The importance of parents' education and the availability of
tuition played a significant effect.

Performance of Various Entropy Measures: Applications to Pareto and Truncated Pareto Distributions

2023-02-23T04:17:28+00:00

This study considers various entropy measures for Pareto distribution
and Truncated Pareto distribution, and also calculates the loss of
entropy when underlying distribution is truncated Pareto distribution
instead of Pareto distribution. The mathematical expression of entropy
measures was derived for Pareto and Truncated Pareto distribution.
Then the mathematical expression of relative loss was derived to check
the performance of various entropy measures. For Comparison purpose
the study considers a real data set available in the literature and find out
the maximum likelihood estimate for the parameters of Pareto
distribution. The results of the relative loss of entropy measures showed
that the natural phenomenon holds in Shannon, Awad, Renyi and Harvrd
& Charvat entropy measures for Pareto distribution, while in Awad et al.
and Arimoto’s it does not hold. Amongst the four entropy measures the
Shannon entropy measure is considered best because it gives us the
minimum loss of information if one considers Truncated Pareto
distribution instead of Pareto distribution.

Exponential Ratio Type Estimators of Population Mean using Two Auxiliary variables under Non-response

2023-02-23T04:21:53+00:00

In this paper, we propose exponential ratio type estimators for
estimating the population mean of the study variable using
information on two auxiliary variables under the situations when
certain observations for some sampling units are missing. These
missing observations may either be in auxiliary or study
variables. The expressions for bias and mean square error of the
proposed estimators are obtained up to first order of
approximation using simple random sampling without
replacement (SRSWOR). Comparison of the proposed
exponential ratio type estimators with revised ratio estimators
are made both theoretically and through simulation studies. The
simulation study showed that proposed estimators are efficient
as compared to their competitor estimators.

Hartly Ross Type Unbiased Estimator in Stratified Ranked Set Sampling Using Two Auxiliary Variables

2023-02-23T04:24:51+00:00

Ranked set sampling has gained much attention of the research in the
recent past due to its enhanced efficiency. In this article, we proposed
Hartly-Ross type unbiased estimator of the finite population mean using
two auxiliary variables in stratified ranked set sampling (SRSS). The
variance of the proposed unbiased estimator is derived up to first order of
approximation. Comparison among the proposed and competitor
estimators are made both theoretically and through rigorous simulation
study. It is observed that the newly suggested Hartly-Ross type estimator
is more efficient as compared to all the considered competitor estimators
under SRSS design.