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An Average Based Method for Finding the Basic Feasible Solution for the Fuzzy Transportation Problems
Ekanayake Mudiyanselage Dananjaya Bandara Ekanayake,
Ekanayake Mudiyanselage Uthpala Senarath Bandara Ekanayake
Issue:
Volume 9, Issue 1, March 2023
Pages:
1-13
Received:
15 December 2022
Accepted:
9 January 2023
Published:
21 February 2023
Abstract: Fuzzy transport problems are another special type of transport problem (TP). In a transportation problem, what is primarily considered is how to carry out the relevant process while reduce the total cost of the transporting the goods to different destinations. This objective is also valid for fuzzy TP. However, the supply quantity, demand, and unit cost values cannot be determined precisely, and those values are represented by "fuzzy number sets." There, the relevant solution value is obtained as a basic solution or an optimal solution. Thus, various researchers have proposed various algorithms to obtain an efficient initial solution or an optimal solution (OS) to fuzzy transportation problems. Accordingly, in this research article, we have presented another method to obtain an basic feasible solution (BFS) value for fuzzy transportation problems. It is prepared by creating a new value for each cell based on Yager's robust ranking method. In obtaining these values, the average of the crisp values of the columns and rows of the relevant column or row was basically considered. After that, the algorithm was used to solve mathematical problems. In here, the proposed method is primarily considered for triangular and trapezoidal fuzzy transportation problems. Also, the basic solution obtained from those solutions was that algorithm and the current approach are compared, and the efficiency and correctness of the proposed method were tested. Based on the analysis of the obtained data, the new method can be shown as an easy method to understand the efficiency that can be used to obtain the BFS to fuzzy transportation problems.
Abstract: Fuzzy transport problems are another special type of transport problem (TP). In a transportation problem, what is primarily considered is how to carry out the relevant process while reduce the total cost of the transporting the goods to different destinations. This objective is also valid for fuzzy TP. However, the supply quantity, demand, and unit...
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On the Practical Exponential Stability in Mean Square of Stochastic Perturbed Systems Via a Lyapunov Approach
Walid Hdidi,
Faten Ezzine
Issue:
Volume 9, Issue 1, March 2023
Pages:
14-20
Received:
12 January 2023
Accepted:
10 February 2023
Published:
2 March 2023
Abstract: The Lyapunov method is one of the most effective methods to analyze the stability of stochastic differential equations (SDEs). Different authors analyzed the stability of SDEs based on Lyapunov techniques when the origin can be considered as an equilibrium point. When the origin is not necessarily an equilibrium point, it is still possible to analyze the asymptotic stability of solutions concerning a small neighborhood of the origin. The purpose is to study the asymptotic stability of a system whose solution behavior is a small ball of state space or close to it. Thus, all state trajectories are bounded and close to a sufficiently small neighborhood of the origin. In this sense, the limited boundedness of solutions of random systems, or the chance of convergence of solutions needs to be analyzed on a ball centered on the origin. This is the so called “Practical Stability”. In this article, we mainly investigate the practical uniform exponential stability in the mean square of stochastic linear time–invariant systems. In addition, we are developing the problem of stabilization of certain classes of perturbed stochastic systems. Our crucial techniques include Lyapunov techniques and generalized Gronwall inequalities. Lastly, we provide a numerical example to illustrate our theoretical findings.
Abstract: The Lyapunov method is one of the most effective methods to analyze the stability of stochastic differential equations (SDEs). Different authors analyzed the stability of SDEs based on Lyapunov techniques when the origin can be considered as an equilibrium point. When the origin is not necessarily an equilibrium point, it is still possible to analy...
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Investigation of Levels of Cyanide in Cassava Tubers Marketed in Kampala
Mike Odongo,
Solomon Alex Mutagaya
Issue:
Volume 9, Issue 1, March 2023
Pages:
21-26
Received:
11 October 2022
Accepted:
16 November 2022
Published:
11 April 2023
Abstract: Cassava is one of the cyanogenic plants poisonous to humans once consumed in unprocessed state. Cassava is characterized by a cyanogenic glycoside, linamarin and hydrolyzed to cyanohydrin by an enzyme called linamarase, cyanohydrin is hydrolyzed to a toxic hydrogen cyanide (HCN). This study purposed investigation of the levels of cyanide in the sweet cassava subspecies marketed in various markets within Kampala City. The mean concentration levels of cyanide in cassava samples from markets within Nakawa Division were 50.83±2.93, 53.54±2.46, 52.25±2.64, 52.20±2.45 and 47.25±3.12 ppm for Nakawa Market, Kisasi Market, Banda Market, Kirombe Market and Bugolobi Local Market respectively. The mean concentration levels of cyanide in cassava samples from markets within Kawempe Division were 56.25± 3.43, 54.52± 2.84 and 61.08± 3.32 ppm for Kalerwe Market, Mperewe Market and Kawempe Market respectively. The mean concentration levels of cyanide in cassava samples from markets within Rubaga Division were 59.69±2.41, 57.83±2.96 and 61.55±2.52 ppm for Busega Market, Kawala Market and Nakulabye Market respectively. The mean concentration levels of cyanide in cassava samples from markets within Makindye Division were 58.41±2.51, 52.58±2.43, 54.53±2.76 and 54.41±2.93 ppm for Gaaba Market, Kabalagala Market, Kansanga Vendor Market and Bunga Market respectively. All samples analyzed for cyanide in cassava gave values higher than 10ppm which is WHO’s recommended level of cyanide in cassava. This article gives vital information on the levels of cyanide in cassava from the various markets in Kampala City.
Abstract: Cassava is one of the cyanogenic plants poisonous to humans once consumed in unprocessed state. Cassava is characterized by a cyanogenic glycoside, linamarin and hydrolyzed to cyanohydrin by an enzyme called linamarase, cyanohydrin is hydrolyzed to a toxic hydrogen cyanide (HCN). This study purposed investigation of the levels of cyanide in the swe...
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