Vehicles capacitate two-stage solid transportation problem with bi-fuzzy coefficients through genetic algorithm

This study deals with a vehicles capacitate two-stage solid transportation problem (VCTSSTP), where in each stage and each path there are two different capacitate vehicles. And as per the quantity of transportation, the larger and/or smaller capacitance vehicles are used. Moreover, the coefficients of the model are assumed bi-fuzzy in nature. The items are breakable in nature and to reduce the breakablity rate of the item extra safety cost is introduced here. The model is justified through a numerical example by using evolutionary genetic algorithm (GA). To ensure and establish the stability of the decision, results are compared through different solving method based on GRG techniques. Also a statistical test analysis of varience (ANOVA) illustrate and signify the feasibility and validity of the proposed model and techniques with the high rate of probability.