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Latest Published Articles

Solving some variants of vehicle routing problem with Branch-and-cut and Column generation algorithms

OMS-Vol. 4 (2020), Issue 1, pp. 63 – 73 Open Access Full-Text PDF
Abdullahi Ibrahim, Jeremiah Ishaya, Rabiat Abdulaziz, Sowole Samuel
Abstract: In this research work, we applied some solving techniques on Travelling salesman problem (TSP) and Capaciated Vehicle routing problem (CVRP) which are some of the variants of vehicle routing problem. For each of the considered problem, Branch-and-cut was applied on TSP and Column generation technique was used on CVRP. We obtained optimal solution and tour. Hence, these methods can be used to solve similar problem for optimal solution.
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On Backlund transformation of Riccati equation method and its application to nonlinear partial differential equations and differential-difference equations

OMS-Vol. 4 (2020), Issue 1, pp. 56 – 62 Open Access Full-Text PDF
Reham Hassan, Mustafa El-Agamy, Mohamed Soror Abdel Latif, Hamed Nour
Abstract: In this paper, we investigate the equivalence between the Backlund transformation of Riccati equation method and the extended tanh-function method. It is proved that the two methods are equivalent when applying them to partial differential equations and differential-difference equations. Two examples are introduced to justify our results.
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On algebraic properties of fundamental group of intuitionistic fuzzy topological spaces (IFTSs)

OMS-Vol. 4 (2020), Issue 1, pp. 34 – 47 Open Access Full-Text PDF
Laaro Abdullateef
Abstract: In this paper, the notion of some algebraic properties of fundamental group of intuitionistic fuzzy topological spaces (IFTSs) are introduced. We give a necessary and sufficient condition for a fundamental group of IFTSs to be abelian, a necessary and sufficient conditions for a subset of fundamental group of IFTSs to be subgroup, a necessary and sufficient condition for a subgroup of fundamental group of IFTSs to be normal and a necessary and sufficient condition for an element to be in a center of fundamental group of IFTSs. We also describe the set of centralizers of an element in a fundamental group of IFTSs and the quotient fundamental group of IFTSs.
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BOOK - NULL CONTROLLABILITY OF DEGENERATE AND NON-DEGENERATE SINGULAR PARABOLIC