Science and Education Publishing American Journal of Modeling and Optimization 2 3 2014 09 08 Progressive Review and Analytical Approach for Optimal Solution of Stochastic Transportation Problems (STP) Involving Multi-Choice Cost 77 83 EN Vishwa Nath Maurya Department of Mathematics & Statistics, School of Science & Technology, The University of Fiji, Fiji Islands Ram Bilas Misra Chandra K. Jaggi Avadhesh Kumar Maurya AJMO2014233 10.12691/ajmo-2-3-3 2014 04 22 2014 09 05 2014 09 08 In this paper some general transportation models have been discussed and particularly a multi-choice cost stochastic transportation problem (STP) has been reviewed in the light of progressive research works of previous noteworthy researchers. In addition, an analytical approach for the optimal solution (OS) of the proposed stochastic transportation problem has been demonstrated. The analytical method proposed by us is not only heuristic but also a generalization in threefold. We remark here that some unnecessary complications involved previously have been removed in our proposed method. Finally, by way of demonstrating a numerical illustration some significant conclusive observations have also been drawn in order to highlight the threefold feature.