TRANSPORTATION OPTIMIZATION MODEL USING THE DISTANCE MATRIX: A CASE OF CEMENT DISTRIBUTION FROM SELECTED COMPANIES TO DISTRIBUTION CENTERS IN EBONYI STATE
DOI:
https://doi.org/10.33003/fjs-2021-0502-454Keywords:
Transportation, Optimization Model, Distance Matrix, Supply and DemandAbstract
Ascertaining an optimal cement distribution plan for cement companies in Nigeria has remained a challenge. The absence or fluctuation of data for estimating the cost of transporting cement from each source to each distribution center is a big stumbling block whenever modeling attempts are being made via transportation algorithms. This work has succeeded in removing these challenges by providing a Transportation Optimization Model for cement distribution using transportation Distance Matrix instead of transportation Cost Matrix. This research seeks to improve supply in the Nigerian cement industry. Three selected factories (Gboko, Port-Harcourt and Calabar) and four major distribution centers (Abakaliki, Onueke, Ohaozara and Afikpo) in Ebonyi state were considered for this work. The result of the findings using the Vogel Approximation Method, minimized the total transportation distance and by implication the total transportation costs.
References
Andrew De la Bastide (2010-2011). Resonant state expansion Applied to 1-D Schrodinger Equation. Year 4 Physics report, Cardiff University, UK.
Armitage, L. J., Doost, M. B., Langbein, W., &Muljarov, E. A. (2014).Resonant states expansion applied to planar waveguides.Phys.Rev. A 89, 053832.
Doost, M. B., Langbein, W., &Muljarov, E. A. (2012).Resonant states expansion applied to planar open optical systems.Phys. Rev. A 85, 023835.
Gamow, G. (1928). Zurquantentheorie des atomkernes. Zeitschrift fur physic. 51, 204-212.
Hatano, N. (2008). Some Properties of the Resonant State in Quantum Mechanics and its Computation. Prog. Theor. Phys.119, 187.
Mandle, F. (1992). Quantum Mechanics (1st Edition), Wiley, 50010.
Muljarov E. A., Langbein, W. & Zimmermann, R. (2010). Brillouin-WignerPerturbation theory in open electromagnetic systems. Europhys. Lett. 92, 5.
Siegert, A. J. F. (1939). On the Derivation of the Dispersion Formula forNuclear Reactions. PhysicalReview 56, 750-752.
Tanimu, A., &Muljarov E. A. (2018). Resonant states expansion applied to one dimensional quantum systems. Physical review A. 98, 022127.
Tanimu, A., &Muljarov, E. A. (2018). Resonant states in double and triple quantum wells.J. Phys. Commun. 2, 115008.
Uma, A.,Mashewari, &Prema, P. (2010). Resonant states and transmission coefficient oscillations for potential wells and barriers. Am. J. Phys. 78, 412.
Published
How to Cite
Issue
Section
FUDMA Journal of Sciences