과제정보
This work was supported by the Vellore Institute of Technology, Vellore, Tamil Nadu, India, 632014.
참고문헌
- Md. Ashraful Babu, M.A. Hoque, and Md. Sharif Uddin, A heuristic for obtaining better initial feasible solution to the transportation problem, Opsearch 57 (2020), 221-245. https://doi.org/10.1007/s12597-019-00429-5
- M. Mathirajan, S. Reddy, and M. Vimala Rani, An experimental study of newly proposed initial basic feasible solution methods for a transportation problem, Opsearch 59 (2022), 102-145. https://doi.org/10.1007/s12597-021-00533-5
- B. Prajwal, J. Manasa, and R. Gupta, Determination of Initial Basic Feasible Solution for Transportation Problems by:"Supply-Demand Reparation Method" and "Continuous Allocation Method", Logistics, Supply Chain and Financial Predictive Analytics: Theory and Practices, Springer, 2018, 19-31.
- Nopiyana, P. Affandi, and A.S. Lestia, Solving transportation problem using modified ASM method, Journal of Physics: Conference Series 2106 (2021), 012029.
- B. Amaliah, C. Fatichah, and E. Suryani, A new heuristic method of finding the initial basic feasible solution to solve the transportation problem, Journal of King Saud University-Computer and Information Sciences 34 (2022), 2298-2307. https://doi.org/10.1016/j.jksuci.2020.07.007
- S.M. Rahmasari, Susilawati, and I. Hamidah The SS Method to Obtain an Optimal Solution of Transportation Problem, International Journal of Mathematics and Mathematics Education (2023), 1-17.
- Ekanayake, EMUSB, An Improved Ant Colony Algorithm to Solve Prohibited Transportation Problems, International Journal of Applied Mathematics and Theoretical Physics 8 (2022), 43.
- R. Radhiah, S. Rusdiana, M. Marzuki, T.M. Saputra, U.H. Mukhra, Application of Transportation Methods in Optimizing Transportation Cost for Fleet Product Distribution, Transcendent Journal of Mathematics and Applications 2 (2023), 20-26.
- R. Ravi Kumar, R. Gupta, and O. Karthiyayini, A new approach to find the initial basic feasible solution of a transportation problem, Int. J. Res. Granthaalayah 6 (2018), 321-325.
- O. Jude, O.B. Ifeanyichukwu, I. Stephen, O.D. Idochi okenwe, A New And Efficient Proposed Approach For Optimizing The Initial Basic Feasible Solution Of A Linear Transportation Problem, International Journal of Mathematics Trends and Technology 65 (2019), 104-118.
- M.M. Ahmed, N. Sultana, A.R. Khan, and Md. S. Khan, An innovative approach to obtain an initial basic feasible solution for the transportation problems, Journal of Physical Sciences 22 (2017), 23-42.
- Rusli, Sukarna, and Wahyudin, Improved Exponential Approach Method in Determining Optimum Solutions for Transportation Problems, ARRUS Journal of Mathematics and Applied Science 2 (2022), 101-108. https://doi.org/10.35877/mathscience744
- Sulaiman, A.S. Alddin, Proposed methods for finding the basic acceptable solution for the transportation problems, Iraqi Journal of Statistical Science 30 (2019), 73-84. https://doi.org/10.33899/iqjoss.2019.164175
- D.A. Munot, K.P. Ghadle, An innovative way for solving transportation problem using modular arithmetic, Journal of Information & Optimization Sciences 44 (2023), 255-270.
- S.K. Sharma, K. Goel, Analysis of IBFS for Transportation Problem by Using Various Methods, Mathematics and Statistics 10 (2022), 741-746. https://doi.org/10.13189/ms.2022.100404
- N.M. Sharma, A.P. Bhadane An alternative method to north-west corner method for solving transportation problem, International Journal for Research in Engineering Application & Management, 1 (2016), 1-3.
- H.A. Hussein, M.A.k. Shiker, A modification to Vogel's approximation method to Solve transportation problems, Journal of Physics: Conference Series 1591 (2020), 012029.
- S. Sahito, W.A. Shaikh, A.G. Shaikh, A.A. Shaikh, S.F. Shah, Modification of Vogel's Approximation Method for Optimality of Transportation Problem by Statistical Technique, Quaid-E-Awam University Research Journal of Engineering, Science & Technology, Nawabshah 19 (2021), 42-48. https://doi.org/10.52584/QRJ.1902.07
- S.I. Okeke, Modelling Transportation Problem Using Harmonic Mean, International Journal of Transformation in Applied Mathematics & Statistics 3 (2020).
- H.J. Kadhim, A.K. Mushtak Shiker, Hussein A.H. Al-Dallal, New technique for finding the maximization to transportation problems, Journal of Physics: Conference Series 1963 (2021), 012070.
- S.M. Abul Kalam Azad, Md. Bellel Hossain, A new method for solving transportation problems considering average penalty, IOSR Journal of Mathematics 13 (2017), 40-43.
- L. Kaur, M. Rakshit, S.S. Chahal, M.P. Rakshit, An improvement in maximum difference method to find initial basic feasible solution for transportation problem, International Journal of Computer Sciences and Engineering 6 (2018), 533-535. https://doi.org/10.26438/ijcse/v6i9.533535
- N.M. Morade, New Method to find initial basic feasible solution of Transportation Problem using MSDM, International Journal of Computer Sciences and Engineering 5 (2017), 223-226. https://doi.org/10.26438/ijcse/v5i12.223226
- Md. Ashraful Babu, U. Kanti Das, A. Rahman Khan, Md. Sharif Uddin, A simple experimental analysis on transportation problem: a new approach to allocate zero supply or demand for all transportation algorithm, International Journal of Engineering Research & Applications (IJERA) 4 (2014), 418-422.
- M.M. Gothi, R.G. Patel, and B.S. Patel, A concept of an optimal solution of the transportation problem using the weighted arithmetic mean, Adv. Math. Sci. J. 10 (2021), 1707-1720. https://doi.org/10.37418/amsj.10.3.52
- Exponential distribution, https://en.wikipedia.org/wiki/Exponential_distribution.
- Contraharmonic mean, https://en.wikipedia.org/wiki/Contraharmonic_mean.
- M. Mesbahuddin Ahmed, A. Rahman Khan, F. Ahmed, Md. Sharif Uddin, Incessant allocation method for solving transportation problems, American Journal of Operations Research 6 (2016), 236-244. https://doi.org/10.4236/ajor.2016.63024
- M.S.M. Zabiba, H.A.H. Al-Dallal, K.H. Hashim, M.M. Mahdi, M.A.K. Shiker A new technique to solve the maximization of the transportation problems, AIP Conference Proceedings, 2414(2023), 1.
- Y.A. Hussin, M.A.K. Shiker Using a new method named matrix method to find the optimal solution to transportation problems, AIP Conference Proceedings, 2414, (2023), 1.
- R. Shubham, New Approach to Find Initial Basic Feasible Solution (IBFS) for Optimal Solution in Transportation Problem, Open Journal of Applied Sciences 13 (2023), 207-211.
- A. Paul and V. Vincent Henry, To obtain IBFS of transportation problem through index of dispersion, International Journal of Statistics and Applied Mathematics 8 (2023), 161-163.