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The Modified Sequential Linear Goal Programming Method for Solving Multiple Objectives Linear Programming Problems
Geleta Tadele Mohammed,
Birhanu Guta Hordofa
Issue:
Volume 5, Issue 1, February 2016
Pages:
1-8
Received:
20 September 2015
Accepted:
27 October 2015
Published:
25 January 2016
Abstract: Most of real world decision making problems have multiple objectives, which cannot be optimized simultaneously due to the conflicting nature of the objectives. Such problems can be solved by various methods to obtain the best-compromise solutions. Modified Sequential Linear Goal Programming (MSLGP) method can be used to solve Multiple Objective Linear programming Problems. In this paper, the use of existing single objective Linear Programming (LP) techniques is there, and the information required for MSLGP in each iteration are taken from the previous iteration. In this study, there is a great Revised Multi-phase Simplex Algorithm, which is used to solve MSLGP Accordingly within small number of computations as much as possible. This method is illustrated by some numerical examples, and provides ‘best compromise’ solution.
Abstract: Most of real world decision making problems have multiple objectives, which cannot be optimized simultaneously due to the conflicting nature of the objectives. Such problems can be solved by various methods to obtain the best-compromise solutions. Modified Sequential Linear Goal Programming (MSLGP) method can be used to solve Multiple Objective Lin...
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Oscillations of Neutral Difference Equations of Second Order with Positive and Negative Coefficients
Hussain Ali Mohamad,
Hala Majid Mohi
Issue:
Volume 5, Issue 1, February 2016
Pages:
9-14
Received:
19 November 2015
Accepted:
7 December 2015
Published:
29 January 2016
Abstract: In this paper some necessary and sufficient conditions are obtained to guarantee the oscillation for bounded and all solutions of second order nonlinear neutral delay difference equations. In Theorem 5 and Theorem 8, We have studied the oscillation criteria as well as the asymptotic behavior, where was established some sufficient conditions to ensure that every solution are either oscillates or |yn |→∞ as n→∞. Examples are given to illustrate the obtained results.
Abstract: In this paper some necessary and sufficient conditions are obtained to guarantee the oscillation for bounded and all solutions of second order nonlinear neutral delay difference equations. In Theorem 5 and Theorem 8, We have studied the oscillation criteria as well as the asymptotic behavior, where was established some sufficient conditions to ensu...
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Boundary Integral Equation Method for Unsteady Two Dimensional Flow in Unconfined Aquifer
Issue:
Volume 5, Issue 1, February 2016
Pages:
15-22
Received:
1 January 2016
Accepted:
21 January 2016
Published:
1 February 2016
Abstract: In this paper, we employed the use of Boundary Integral Equation Method to obtain numerical solutions of specific unconfined aquifer flow problems. Of the two formulations presented in this paper, that in which the piezometric head and its normal derivative are assumed to vary linearly with time over each time step has proved more accurate than that in which both piezometric head and its normal derivative remain constant at each node throughout each time step. Comparisons between Method 2 of section-3 and the analytical solutions have demonstrated the superior accuracy of the integral equation formulation.
Abstract: In this paper, we employed the use of Boundary Integral Equation Method to obtain numerical solutions of specific unconfined aquifer flow problems. Of the two formulations presented in this paper, that in which the piezometric head and its normal derivative are assumed to vary linearly with time over each time step has proved more accurate than tha...
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Derivations of First Type of Algebra of Second Class Filiform Leibniz Algebras of Dimension Derivation (n+2)
AL-Nashri AL-Hossain Ahmad
Issue:
Volume 5, Issue 1, February 2016
Pages:
23-31
Received:
23 December 2015
Accepted:
26 January 2016
Published:
17 February 2016
Abstract: This paper describes the derivations of first type of algebra from the second class filiform Leibniz algebras of dimension derivation (n+2). The set of all derivations of an algebra L is denoted by Der (L) From the description of the derivations, we found the basis of the space Der (Ln (a)) of the algebra.
