Comparison of Methods of Solving Transportation Problems (TP) and Resolving the Associated Variations
Awogbemi Clement Adeyeye,
Alagbe Samson Adekola,
Osamo Caleb Kehinde
Issue:
Volume 11, Issue 5, September 2022
Pages:
140-149
Received:
10 March 2022
Accepted:
14 May 2022
Published:
28 September 2022
DOI:
10.11648/j.ajtas.20221105.11
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Abstract: Transportation Problem is a Linear Programming application to physical distribution of goods and services from various origins to several destinations such that the cost of transportation is minimal. In this study, five different methods were employed to solve transportation problems arising from unequal demand and supply of goods and variations. The methods considered in terms of North West Corner Rule, Least Cost Method, Vogel’s Approximation Method, Row Minima Method and Column Minima Method were compared. Necessary and sufficient condition for the existence of a feasible solution to the transportation problem was initiated and established. Unbalanced transportation problems were resolved using Vogel’s Approximation Method (VAM) and Modified Distribution (MODI) methods. The five methods compared produced different results with VAM generating the least transportation cost and better solution. The least value of the transportation costs obtained by the five methods is VAM with the most economical initial feasible solution. It was also established that, out of m + n constraint equations, only m + n-1 equations are linearly independent. With the MODI method, economic values were generated for the dual variables, uis and vjs associated with the source and demand points respectively.
Abstract: Transportation Problem is a Linear Programming application to physical distribution of goods and services from various origins to several destinations such that the cost of transportation is minimal. In this study, five different methods were employed to solve transportation problems arising from unequal demand and supply of goods and variations. T...
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Bayesian and Classical Inferences in Two Inverse Chen Populations Based on Joint Type-II Censoring
Shrawan Kumar,
Anita Kumari,
Kapil Kumar
Issue:
Volume 11, Issue 5, September 2022
Pages:
150-159
Received:
1 September 2022
Accepted:
19 September 2022
Published:
28 September 2022
DOI:
10.11648/j.ajtas.20221105.12
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Abstract: In the era of growing technologies and demand for more reliable products, comparative studies of products from different lines of manufacturing units have become essential. Due to the time-saving and cost-effectiveness properties, the joint Type-II censoring scheme is beneficial for dealing with such types of comparative studies. The inverse Chen distribution has the upside-down or unimodal failure rate function, and it is a suitable lifetime model in life testing and reliability theory. This article contains the Bayesian and classical estimations in the inverse Chen distribution under joint type-II censoring. The maximum likelihood estimators and the corresponding asymptotic confidence intervals of the unknown parameters are developed in the classical estimation approach. In the case of the Bayesian estimation approach, the Bayes estimators of the unknown parameters under the squared error loss function using gamma informative priors are computed. The Bayes estimates are calculated using Markov chain Monte Carlo (MCMC) techniques. Also, the highest posterior density (HPD) credible intervals of the unknown parameters are constructed using MCMC methods. To study various estimates developed in this article, a Monte Carlo simulation study is performed. To compare various estimates, the average estimate, mean squared error values along with the average length and the coverage probabilities are considered. Finally, a real-life problem is analysed to show the applicability of the proposed estimation methods.
Abstract: In the era of growing technologies and demand for more reliable products, comparative studies of products from different lines of manufacturing units have become essential. Due to the time-saving and cost-effectiveness properties, the joint Type-II censoring scheme is beneficial for dealing with such types of comparative studies. The inverse Chen d...
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Statistical Analysis of Factors That Affect Women’s Use of Family Planning in Case of Logia Town, North East Ethiopia
Getnet Mamo Habtie,
Abdu Hailu Shibeshi,
Tigabu Hailu Kassa
Issue:
Volume 11, Issue 5, September 2022
Pages:
160-166
Received:
27 July 2022
Accepted:
25 September 2022
Published:
30 October 2022
DOI:
10.11648/j.ajtas.20221105.13
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Abstract: Background: Family planning is the processes of choosing the number of children in a family and the length between their births by using contraception method or the aptitude of individual couples to decide when to have children. Objective: The main objective of this study is to assess the awareness of family planning in Logia town, north east Ethiopia. Methods: The study population was family planning that is women who are older than 18 years, living in logia district and primary data, structured questionnaire collection method was used. In this study simple random sampling without replacement sampling techniques was applied. Result: This study used 119 women of reproductive age group, 15.1% (18) of the women did not have knowledge (awareness) about family planning methods and 84.9% (101) have knowledge (awareness) about family planning methods. Women’s had used one of the family planning were 25 (43.57%) and on the counter side (67) 56.43 percent of women’s did not used family planning methods. Odds ratio laterally with 95% level confidence in binary logistic regression was used to evaluate factors associated with awareness family planning. Under this study prevailed age, martial statues of women. Educational level, number of children and income of women have significant association between awareness of family planning its p-value is less than 0.05. The odds of the age of women’s between 27 and 35 is 1.974 times more likely to had awareness on family planning than the women’s whose age is in between 36 and 45 years, remaining constant for other variables in the model. The estimated odds ratio of educational level women were degree 10.80 times more likely to had awareness on family planning than level of education is diploma, other variables were constant. Conclusion: Awareness family planning and creation movements involving women to get education in the logia town. For the better social life of women’s and community health since women’s are one part of the community.
Abstract: Background: Family planning is the processes of choosing the number of children in a family and the length between their births by using contraception method or the aptitude of individual couples to decide when to have children. Objective: The main objective of this study is to assess the awareness of family planning in Logia town, north east Ethio...
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