An Advance towards Finding the Basic Feasible Solution and Optimal Solution in Transportation Problem

Swati Dayma¹ , Garima Singh² , Manju Prabhakar³

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.3 , pp.80-85, Jun-2024

Online published on Jun 30, 2024

Copyright © Swati Dayma, Garima Singh, Manju Prabhakar . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

Abstract :
Transportation problem is a special kind of Linear Programming Problem (LPP) in which goods are transported from a set of sources to a set of destinations subject to the supply and demand of the sources and destination respectively such that the total cost of transportation is minimized. It is also sometimes called as Hitchcock problem and solved a real life problem by using EQM method.

Key-Words / Index Term :
Transportation Problem, Initial Basic Feasible

References :
[1] B. Mallia, M. Das, C. Das “Fundamentals of Transportation Problem”, International Journal of Engineering and Advanced Technology (IJEAT) ISSN: Volume-10 Issue-5, 2021.
[2] Cheng, L., De Vos, J., Witlox, F. “Transport modes and sustainability”. In Vickerman R.W. (ed) International Encyclopedia of Transportation . Elsevier, forthcoming, 2021.
[3] Firas Hamid Thanoon “Proposed Method for Solving Transportation Problems”, Wasit Journal for Pure Sciences Vol. 1, 2022.
[4] J.K. Sharma “Operation research theory and application” Laxmi Publication ; Sixth Edition pp.256-309, 2017.
[5] J. Opara, P.A. Esemokumo, R. Bekesuoyeibo “A New Algorithm for Reaching an Optimal Solution to a Nonlinear Transportation Problem”, International Journal of Scientific Research in Mathematical and Statistical Sciences Volume-9, Issue-2, pp.12-16, 2022.
[6] L. Elaine Y. Man, and Adam B. “A Qualitative Approach of Identifying Major Cost Influencing Factors in Palm Oil Mills and the Relations towards Production Cost of Crude Palm Oil”, American Journal of Applied Sciences, vol. 8, pp. 441-446, 2011.
[7] M. K. Islam, M. F. Uddin, M. M. Alam, G. M. O. Faruque4 “A Mixed Integer Linear Programming Approach for Two Stage Supply Chain Network Coordination of Agricultural Products Considering Uncertainty”, International Journal of Scientific Research in Mathematical and Statistical Sciences Vol.6, Issue.6, pp.36-45, 2019.
[8] Norozi A., Ariffin M. K. A., and Ismail N. “Application of Intelligence Based Genetic Algorithm for Job Sequencing Problem on Parallel Mixed-Model Assembly Line”, American Journal of Engineering and Applied Sciences, 3, pp.15-24, 2010.
[9] N. Sen et al. “Mathematical Modeling of Transportation Related Problem of Southern Assam and Its Optimal Solution” AUJ Science, Vol. 31, pp.22-27, 2008a, 2008b, 2008c.
[10] S. Mishra “Solving Transportation Problem by Various Methods and Their Comparison”. International Journal of Mathematics Trends and Technology, vol. 44, pp.270 – 275, 2017.
[11] S.K. Goyal “Improving VAM for unbalanced transportation problems”, Journal of Operational Research Society, pp. 1113-1114, 1984.
[12] T.C. Koopmans “Optimum Utilization of Transportation System”, Econometrica Supplement vol.17, 1949.