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Minimization of Transportation Cost of Paraffin Wax: A Proposed Approach Using C

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Advances in Mechanical Engineering

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

Transportation problems are concerned with the distribution of products from various origins to different destinations with the primary objective of achieving minimum cost. In this paper, a real-world application of transportation problem has been discussed using C programming involving transportation of paraffin wax. A new model had been proposed in this work which achieved the minimum total transportation cost compared to the existing approaches by successively reducing the complexities in the iterations to get the final cost. To support the effectiveness of the proposed approach it was justified with the help of solver in excel and compared with other models in terms of total cost and time complexity.

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References

  1. Gass, S.I.: On solving the transportation problem. J. Oper. Res. Soc. 41(4), 291–297 (1990)

    Article  Google Scholar 

  2. Shimshak, D.G., Kaslik, J.A., Barclay, T.D.: A modification of Vogel’s approximation method through the use of heuristics. Inf. Syst. Oper. Res. 19, 259–263 (1981)

    MATH  Google Scholar 

  3. Uddin, A.M., Ullah, W., Kawser, M.: A modified Vogel’s approximation method for obtaining a good primal solution of transportation problems. Ann. Pure Appl. Math. 11(1), 63–71 (2016)

    Google Scholar 

  4. Dantzig, G.B.: Linear Programming and Extensions. Princeton University Press, New Jersey (1963)

    Book  Google Scholar 

  5. Reinfeld, N.V., Vogel, W.R.: Mathematical Programming. Prentice-Hall, Englewood Cliffs (1958)

    Google Scholar 

  6. Goyal, S.K.: Improving VAM for unbalanced transportation problems. J. Oper. Res. Soc. 35, 1113–1114 (1984)

    Article  Google Scholar 

  7. Ramakrishnan, G.S.: An improvement to Goyal’s modified VAM for the unbalanced transportation problem. J. Oper. Res. Soc. 39(6), 609–610 (1988)

    Article  Google Scholar 

  8. Adlakha, V., Kowalski, K.: An alternative solution algorithm for certain transportation problems. Int. J. Math. Educ. Sci. Technol. 30, 719–728 (1999)

    Article  MathSciNet  Google Scholar 

  9. Lev, B., Kowalski, K., Adlakha, V.: Int. J. Manag. Sci. Eng. Manag. 147–152 (2016)

    Google Scholar 

  10. Ahmed, M.M., Jaglul, M.S., Sultana, A., Uddin, M.S., Ukil, S.I.: An analysis of just in time manufacturing technique used in probabilistic continuous economic order quantity review model. Ann. Pure Appl. Math. 9(2), 145–150 (2015)

    Google Scholar 

  11. Adlakha, V., Kowalski, K.: An alternative solution algorithm for certain transportation problems. Int. J. Math. Educ. Sci. Technol. 30, 719–728 (2003)

    Article  MathSciNet  Google Scholar 

  12. Ahmad, M.B., Dharma, S.: Optimization of transportation problem with computer aided linear programming. In: Proceedings of the Postgraduate Annual Research Seminar, 2005 (2005)

    Google Scholar 

  13. Satir, A., Kirca, O.: A heuristic for obtaining and initial solution for the transportation problem. J. Oper. Res. Soc. 41(9), 865–871 (1990)

    Article  Google Scholar 

  14. Sharma, R.R.K., Prasad, S.: Obtaining a good primal solution to the uncapacitated transportation problem. Eur. J. Oper. Res. 144, 560–564 (2003)

    Article  MathSciNet  Google Scholar 

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Correspondence to Chinmoy S. Kalita .

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Hazarika, P., Kalita, C.S. (2020). Minimization of Transportation Cost of Paraffin Wax: A Proposed Approach Using C. In: Biswal, B., Sarkar, B., Mahanta, P. (eds) Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-0124-1_39

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  • DOI: https://doi.org/10.1007/978-981-15-0124-1_39

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-0123-4

  • Online ISBN: 978-981-15-0124-1

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