Fertilizer Transportation Problem Using Vogel Approximation Method

Published on Mar 1, 2021
· DOI :10.1088/1757-899X/1115/1/012005
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#1Nor Syahirah Azman (TNB: Universiti Tenaga Nasional)H-Index: 1
#2Mohd Zakwan RamliH-Index: 7
Last. Mohd Hafiz ZawawiH-Index: 10
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#1Usman Yakubu Abbas (Atılım University)H-Index: 1
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Recently the initial value problem $\left.\begin{array}{rl}\partial_{t}u & = \mathcal{L}u := \sum\limits_{i=1}^3 A^{(i)}(t, x)\partial_{x_i}u + B(t, x)u + C(t, x) \\ u (0, x) & = u_{0}(x) \end{array}\right. has been solved uniquely by N. Q. Hung (Adv. appl. Clifford alg., Vol. 22, Issue 4 (2012), pp. 1061-1068) using the method of associated spaces constructed by W. Tutschke (Teubner Leipzig and Springer Verlag, 1989) in the space of generalized regular functions in the sense of quaternionic ...
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the computations. Shimshak et at.2 suggested ignoring row or column differences involving a dummy row and column, and applying VAM as usual. It may be pointed out that the method suggested by Shimshak, although ensuring least priority to the allocation of units in the dummy row or column, ignores the penalty cost involving the dummy row or column. In order to exploit the full potential of VAM for obtaining a good initial feasible solution of an unbalanced transportation problem, it is suggested ...
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