Civil Engineering and Architecture Vol. 9(6), pp. 2105 - 2116
DOI: 10.13189/cea.2021.090638
Reprint (PDF) (571Kb)

Development of a New Algorithm to Address the Transportation Issue

A. N. M. Rezaul Karim ^1,*, Farzana Sultana Rafi ², Mohammed Nizam Uddin ², Md. Iftakhar Mahmud ², Mayeen Uddin Khandaker ³, Riaz Mahmud ⁴, M. R. I. Faruque ^5
1 Department of Computer Science & Engineering, International Islamic University Chittagong, Bangladesh
² Department of Applied Mathematics, Noakhali Science and Technology University, Bangladesh
³ Centre for Applied Physics and Radiation Technologies, School of Engineering and Technology, Sunway University, 47500 Bandar Sunway, Selangor, Malaysia
⁴ Department of Mathematics, Faculty of Mathematics and Computer Science, South Asian University, New Delhi 110021, India
⁵ Space Science Centre (ANGKASA), Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor, Malaysia

ABSTRACT

Transportation issues are particularly important when it comes to delivering products to customers at a reasonable cost and promptly. Even though most real-world transportation problems have many challenges, these issues cannot be solved using conventional approaches. The literature contains several strategies for obtaining a feasible solution to the transportation problem, including the most effective Vogel's approximation technique (VAM). Other methods available in the literature are Least Cost Method, NWC Method, Column Minima Method, and Row Minima Method. However, existing methods do not always provide a good effective solution that can reduce the number of iterations to find the best solution. Thus, the development of improved approaches to transportation problems is still challenging. The proposed method is based on a very simple, easy-to-understand, and realistic for transportation issues. Methods: In this analysis, a more efficient, simple, and quick computation methodology has been established. This approach was coded using the PyCharm 3.1 programming platform and the Python 3.8 programming language. Results and Conclusion: The proposed strategy has been demonstrated with numerical examples. A collection of benchmark cases is used to evaluate the new process. This was compared with other conventional methods, the test results indicating that the proposed method has the lowest cost compared to others and has reached a faster solution time, optimal solution and it outperforms the VAM and other commonly used approaches. As a result, our new method can be thought of as a distinct approach to finding the quickest solution to any transportation problem.

KEYWORDS
Transportation Problem, Linear Programming, Vogel's Approximation Method

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] A. N. M. Rezaul Karim , Farzana Sultana Rafi , Mohammed Nizam Uddin , Md. Iftakhar Mahmud , Mayeen Uddin Khandaker , Riaz Mahmud , M. R. I. Faruque , "Development of a New Algorithm to Address the Transportation Issue," Civil Engineering and Architecture, Vol. 9, No. 6, pp. 2105 - 2116, 2021. DOI: 10.13189/cea.2021.090638.

(b). APA Format:
A. N. M. Rezaul Karim , Farzana Sultana Rafi , Mohammed Nizam Uddin , Md. Iftakhar Mahmud , Mayeen Uddin Khandaker , Riaz Mahmud , M. R. I. Faruque (2021). Development of a New Algorithm to Address the Transportation Issue. Civil Engineering and Architecture, 9(6), 2105 - 2116. DOI: 10.13189/cea.2021.090638.