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An Innovative Algorithmic Approach for Solving Profit Maximization Problems
Abul Kalam Azad,
Mosharraf Hossain
Issue:
Volume 4, Issue 1, March 2018
Pages:
1-5
Received:
10 December 2017
Accepted:
25 December 2017
Published:
19 January 2018
Abstract: The new algorithmic technique developed in this article to solve the profit maximization problems using transportation algorithm of Transportation Problem (TP) has three basic parts; first converting the maximization problem into the minimization problem, second formatting the Total Opportunity Table (TOT) from the converted Transportation Table (TT), and last allocations of profits using the Row Average Total Opportunity Value (RATOV) and Column Average Total Opportunity Value (CATOV). The current algorithm considers the average of the cell values of the TOT along each row identified as RATOV and the average of the cell values of the TOT along each column identified as CATOV. Allocations of profits are started in the cell along the row or column which has the highest RATOVs or CATOVs. The Initial Basic Feasible Solution (IBFS) obtained by the current method is better than some other familiar methods which is discussed in this paper with the three different sized examples.
Abstract: The new algorithmic technique developed in this article to solve the profit maximization problems using transportation algorithm of Transportation Problem (TP) has three basic parts; first converting the maximization problem into the minimization problem, second formatting the Total Opportunity Table (TOT) from the converted Transportation Table (T...
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Permanence of a Lotka-Volterra Predator-Prey Model with Feedback Controls and Prey Diffusion
Shuang Pan,
Yonghong Li,
Changyou Wang
Issue:
Volume 4, Issue 1, March 2018
Pages:
6-13
Received:
19 January 2018
Accepted:
6 February 2018
Published:
28 February 2018
Abstract: This paper is concerned with a multi-delay three-species predator-prey model with feedback controls and prey diffusion. By developing some new analysis techniques and using the comparison principle of differential equations, we obtained some new sufficient conditions which ensure the system to be permanent.
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Sandor Type Inequalities for Sugeno Integral Based on s-Convex Function in the Second Sense
Issue:
Volume 4, Issue 1, March 2018
Pages:
14-19
Received:
1 March 2018
Accepted:
27 March 2018
Published:
4 May 2018
Abstract: Integral inequalities play important roles in the fields of measure theory, probability theory and control theory. The aim of this paper is to develop some fuzzy integral inequalities. Sugeno integral is one of the most important fuzzy integrals, which has many applications in various fields. This paper constructs some new Sandor type inequalities for the Sugeno integral based on s-convex function in the second sense. Numerical examples are used to illustrate the effectiveness and practicality of the new inequalities.
Abstract: Integral inequalities play important roles in the fields of measure theory, probability theory and control theory. The aim of this paper is to develop some fuzzy integral inequalities. Sugeno integral is one of the most important fuzzy integrals, which has many applications in various fields. This paper constructs some new Sandor type inequalities ...
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Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function
Issue:
Volume 4, Issue 1, March 2018
Pages:
20-24
Received:
1 March 2018
Accepted:
27 March 2018
Published:
4 May 2018
Abstract: The task of this paper is to estimate the lifetime performance index of Exponential distribution. A Bayesian test procedure is established under symmetric entropy loss function. Firstly, Bayesian estimation of life performance index is obtained, then a Bayesian test procedure for lifetime performance index is proposed. Finally, an applied example is used to illustrate the effectiveness of the proposed test method.
Abstract: The task of this paper is to estimate the lifetime performance index of Exponential distribution. A Bayesian test procedure is established under symmetric entropy loss function. Firstly, Bayesian estimation of life performance index is obtained, then a Bayesian test procedure for lifetime performance index is proposed. Finally, an applied example i...
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