In this paper, we investigate some methods to solve one of the multi-criteria machine scheduling problems. The discussed problem is the total completion time and the total earliness jobs To solve this problem, some heuristic methods are proposed which provided good results. The Branch and Bound (BAB) method is applied with new suggested upper and lower bounds to solve the discussed problem, which produced exact results for in a reasonable time.
Mixed exponential distributions play a significant role in lifetime data analysis, but if we use traditional statistical methods to estimate the parameters in the model, it will be very difficult. However, we employed the Expectation-Maximization (EM) algorithm to estimate the parameters of the model. It will simplify the complexity of the calculation. This paper studies the parameter estimation problem in a complete data situation and gives Monte Carlo (MC) simulation. The EM algorithm is good to estimate the parameters for the three mixed exponential distributions. The parameters estimating were remarkably close to the real values; simultaneously, the samples' RMSE values are more and smaller along with the increase of the sample size so that the method can be regarded as a kind of very effective statistical analysis calculation method. Results show that the algorithm based on EM to estimate the parameters of the mixed exponential distribution is remarkably effective. An application was made at the three phases waiting time in the Rasheed Bank in AL-Mustansiriyah University. The results showed that the estimating mean waiting time by EM algorithm for then the audit stage phase has the biggest proportional in this process which has formed (48%) from total mixture distribution component with scale parameter (0.46 hours), then the provide information phase (32%) with scale parameter (0.44 hours), then the stage of the cashier (20%) with mean waiting time (0.32 hours).
This research aims to test and analyze the impact of the process of drying the marshes in the cities of Basra , Amara and Nasiriya on the climate elements (maximum temperature , minimum temperature , average temperature , relative humidity , wind speed , rainfall and atmospheric pressure) statistical analysis using the t-test statistical that based on the Statistical Package (SPSS), by comparing and analyzing the difference between the climate elements averages during the two periods (1981 -1991) and (1992 -2002) , and the impact of that process on the climate elements.The results showed the negative impact of the drying process on climate elements of the three cities cannot be attributed to chance. اخزجبس (د) t -test Keyword : Marshes , Analysis of climate elements ,
Tuberculosis (TB) is one of the most common infectious diseases worldwide and continues to be a major public health problem for low and middle-income countries. Undoubtedly, Lack of knowledge about tuberculosis among health care and education workers, as well as if knowledge and practices of tuberculosis among students were generally insufficient causes an increased risk of contracting the disease. Tuberculosis (TB) is a chronic communicable bacterial disease caused by Mycobacterium tuberculosis. The Latest World Health Organization (WHO) Report shows that there were 9.0 Million new TB cases and 1.5 Million tuberculosis deaths. The Transmission of the TB disease by Mycobacterium tuberculosis (a bacterium of a group that includes the causative agents of tuberculosis). takes place by air in the form of sneeze, talk, cough, spit, etc. [1,9,11,12,13] This applied study attempt to identify, assess and analyze teachers’ knowledge about tuberculosis in primary schools. A descriptive design, cross-sectional study was carried out in order to achieve the earlier stated objectives of this study by find out the relationship between teachers’ knowledge and social demographic data (sex, age, academic achievement, ….). The present study lasted for four months by prepared a questionnaires to assess the level of teachers’ knowledge, and these questionnaire contains many themes, each theme contained a number of questions to evaluate and analyze teachers’ knowledge of tuberculosis by answering a set of questions (as a variables); (mode of transmission, symptoms and signs, diagnostic features of TB, duration of treatment, prevention methods, risk of developing tuberculosis). The research hypothesis also states that (mycobacterium tuberculosis factor) has a direct impact on TB infection, and to achieve this hypothesis, a questionnaire was distributed to a sample with a size of (58) teachers and the method of Multiple Logistic Regression was used for statistical treatment. Finally, the research concluded a set of results and conclusions included in tables by comparing Likelihood-ratio chi-square statistics and classification table of the observed versus predicted responses.
The estimators of Gumbel type-II distribution parameter was set by using Maximum likelihood method (MLE) and Bayesian method, under many types of Loss functions; Linex Loss Function (LLF) Modified Linex Loss Function (MLLF), Balanced Linex Loss Function (BLLF), and Compound Linex Loss Function (CLLF) using Gamma prior. One of the ways to compare the different estimators, and find the best method for estimation which used in this paper, Mean Squared Error (MSE) and Root Mean Square Error (RMSE), was used based on a Monte Carlo Simulation (MCS). Finally, the discussion and illustrate of comparison results was showed and summarized in tables.
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