30Apr 2018

THE LITERATURE REVIEW FOR ASSIGNMENT AND TRANSPORTATION PROBLEMS.

  • Research scholar, department of mathematics. St. Peter?s institute of higher education and research, chennai, india.
  • Assistant professor, department of mathematics. St. Peter?s college of engineering and technology, chennai, india.
  • Professor, department of mathematics, st. Peter?s institute of higher education and research, chennai, india.
  • Abstract
  • Keywords
  • References
  • Cite This Article as
  • Corresponding Author

Operations Research is a logical learning through interdisciplinary collaboration to determine the best usage of restricted assets. In this paper, the importance of Operations research is discussed and the literature of assignment and transportation problem is discussed in detail.


  1. V, Kowalski, K. & Lev. B. (2006). Solving Transportation Problem with Mixed Constraints, JMSEM 1, 47-52.
  2. Ahamed and Afaq Ahmad, ?A New Method for Finding an Optimal Solution of Assignment Problem?, International Journal of Modern Mathematical Science, 2014, 12(1):10-15.
  3. I., Cickov. J., Peka J. & Rei. M. (2002). Multi-Stage Transportation Problem With Capacity Limit. International Journal of Lean Thinking. Volume 1, 42-57.
  4. Deshmukh N.M., ?An innovative method for solving Transportation Problem?, International Journal of Physics and Mathematical Sciences ISSN:2277-2111.2012 Vol.2 (3) July-Sep pp:? 86-91.
  5. ElsiddigIdriss Mohamed Idriss, Elfarazdag Mahjoub, Mohamed Hussein, Application of
  6. linear programming (Assignment Model), International Journal of Science and Research (IJSR),ISSN2319-7064.2013.
  7. Ji Ping & Chu, K. F. (2002). A dual matrix approach to the transportation problem. Asia- Pacafic Journal of Operations Research, 19, 35-45.
  8. F. L. (1941). "The Distribution of a Product from Several Sources to Numerous
  9. Localities," Journal of Math and Physics, vol. 20, pp. 224-230.
  10. G. Kotwal, Tanuja S. Dhope, ?Unbalanced Assignment Problem by using Modified Approach?, International Journal of Advanced Research in Computer Science and Software? Engineering, Volume 5,Issue 7,July 2015, pp:451-456.
  11. Li Wu Ji & Smith J. MacGregor (1995). An algorithm for Quadratic Assignment Problems. European journal of Operations Research, 1, 205-216.
  12. Nagaraj Balakrishnan,?Modified Vogel?s Approximation method for the Unbalanced? Transportation Problem?, Applied Mathematical letter, Volume.3, No.2, PP. 9-11 1980.
  13. Pandian P. and Natarajan G., ?A New Method for Finding an Optimal More For-Less Solution of Transportation Problems with Mixed Constraints?, Int. J.Contemp.? Sciences, Vol.5, 2010, No.19, 931 ? 942.
  14. Pandian P.and Natarajan G., ?A New Method for Finding an Optimal Solution of Fully Interval Integer Transportation Problems?, Applied?????? Mathematical? Sciences, Vol. 4, 2010, No.37, 1819 ? 1830.
  15. Pandian P and Natarajan G., ?A New method for finding an optimal solution For TP?, International Journal of Math Science and Engineering. Appls (IJMSEA), 4(2010) 59-65.
  16. Rekha S., Srividhya B. and Vidya S.,?Transportation Cost Minimization: Max Min Penalty Approach?, IOSR Journal of Mathematics, Volume10, Issue 2, Version 1, (mar-April 2016), PP 6-8.
  17. Sarbjit Singh, Note on Transportation Problem with New Method for Resolution of Degeneracy, Universal J. of Industrial and Business Management, 3, 2015, 26-36.
  18. Sharma, Gaurav; Abbas, S. H.; Gupta, Vijay, Optimum Solution of Transportation Problem with the help of phase-II method of Simplex Method, Indian journal of applied life science, 6,? 2011, 49-54.
  19. R.R.K, and Sharma.K.D., A new dual based procedure for the transportation problem, European Journal of Operational Res., 122, 2000, 611-624.
  20. Shweta Singh, Dubey G.C., Rajesh Shrivastava, ?A comparative Analysis Of assignment Problem?, IOSR Journal of Engineering?, Volume 2, Issue 8, August 2012, PP 1-15.

[A. Seethalakshmy and N. Srinivasan. (2018); THE LITERATURE REVIEW FOR ASSIGNMENT AND TRANSPORTATION PROBLEMS. Int. J. of Adv. Res. 6 (Apr). 1343-1349] (ISSN 2320-5407). www.journalijar.com


A SEETHALAKSHMY


DOI:


Article DOI: 10.21474/IJAR01/6990      
DOI URL: https://dx.doi.org/10.21474/IJAR01/6990