Solution of stochastic transportation problem involving multi-choice random parameter using Newton’s divided difference interpolation

References

• Acharya, S., Ranarahu, N., Dash, J. K., & Acharya, M. M.: Computation of a multi-objective fuzzy stochastic transportation problem. International Journal of Fuzzy Computation and Modelling, 1(2), 212-233 (2014).
   Google Scholar
• Agrawal, P., Ganesh, T.: Multi-choice Stochastic Transportation Problem involving Logistic Distribution. Advances and Applications in Mathematical Sciences, 18(1), 45-58 (2018).
   Web of Science ®Google Scholar
• Arsham, H., Kahn, A. B.: A simplex-type algorithm for general transportation problems: An alternative to stepping-stone. Journal of the Operational Research Society, 40(6), 581-590 (1989).
   Web of Science ®Google Scholar
• Barik, S. K., Biswal, M. P., Chakravarty, D.: Stochastic programming problems involving pareto distribution. Journal of Interdisciplinary Mathematics, 14(1), 40-56 (2011).
   Google Scholar
• Barik, S. K.: Stochastic quadratic programming problems involving multi-choice parameters. Journal of Information and Optimization Sciences, 37(4), 621-632 (2016).
   Web of Science ®Google Scholar
• Chang, C. T.: Multi-choice goal programming. Omega, 35(4), 389-396 (2007).
   Web of Science ®Google Scholar
• Chang, C. T.: Revised multi-choice goal programming. Applied mathematical modelling, 32(12), 2587-2595 (2008).
   Web of Science ®Google Scholar
• Charnes, A., Cooper, W. W.: Chance-constrained programming. Management science, 6(1), 73-79 (1959).
   Web of Science ®Google Scholar
• Dantzig, G. B.: Linear Programming and Extensions. Princeton landmarks in mathematics and physics (1963).
   Google Scholar
• Dantzig, G. B.: Linear programming under uncertainty. In Stochastic programming (pp. 1-11). Springer, New York, NY (2010).
   Google Scholar
• El-Wahed, W. F. A.: A multi-objective transportation problem under fuzziness. Fuzzy Sets and Systems, 117(1), 27-33 (2001).
   Web of Science ®Google Scholar
• Gupta, S., Ali, I., Ahmed, A.: Multi-choice multi-objective capacitated transportation problem A case study of uncertain demand and supply. Journal of Statistics and Management Systems, 21(3), 467-491 (2018) DOI: 10.1080/09720510.2018.1437943.
   Web of Science ®Google Scholar
• Johnson, N. L. Kotz. S., Balakrishnan, N.: Continuous Univariate Distributions. Vol. 2 (1995).
   Google Scholar
• Kala, S., Das, B.: A transportation problem with queuing contract. Journal of Information and Optimization Sciences, 37(4), 535-548 (2016) DOI: 10.1080/02522667.2015.1103051.
   Web of Science ®Google Scholar
• Mahapatra, D. R., Roy, S. K., Biswal, M. P.: Multi-choice stochastic transportation problem involving extreme value distribution. Applied Mathematical Modelling, 37(4), 2230-2240 (2013).
   Web of Science ®Google Scholar
• Mahapatra, D. R., Roy, S. K., Biswal, M. P.: Stochastic based on multiobjective transportation problems involving normal randomness. Advanced Modeling and Optimization, 12(2), 205-223 (2010).
   Google Scholar
• Maity, G., Roy, S. K.: Solving multi-choice multi-objective transportation problem: a utility function approach. Journal of Uncertainty Analysis and Applications, 2(1), 11 (2014).
   Google Scholar
• Maity, G., Kumar Roy, S.: Solving a multi-objective transportation problem with nonlinear cost and multi-choice demand. International Journal of Management Science and Engineering Management, 11(1), 62–70 (2016).
   Web of Science ®Google Scholar
• Patro, K. K., Acharya, M. M., Acharya, S.: Multi-choice goal programming approach to solve multi-objective probabilistic programming problem. Journal of Information and Optimization Sciences, 39(3), 607–629 (2018).
   Web of Science ®Google Scholar
• Pradhan, A., Biswal, M. P.: Multi-choice probabilistic linear programming problem. Opsearch, 54(1), 122-142 (2017).
   Web of Science ®Google Scholar
• Roy, S. K.: Lagranges interpolating polynomial approach to solve multi-choice transportation problem. International Journal of Applied and Computational Mathematics, 1(4), 639-649 (2015).
   Google Scholar
• Sadeghi, J.: A method for solving the transportation problem. Journal of Statistics and Management Systems, 21(5), 817-837 (2018) DOI: 10.1080/09720510.2018.1453682.
   Web of Science ®Google Scholar
• Scarborough, J. B.: Numerical Mathematical Analysis. John Hopkins University Press, Baltimore (1950).
   Google Scholar
• Schrage L., Optimization Modeling with LINGO. LINDO System, Chicago,I11, USA, 6th ed.
   Google Scholar