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

Authors: Anjana Kuiri; Dipak Barman; Barun Das

Addresses: Department of Mathematics, Sidho-Kanho-Birsha University, Purulia-723104, India ' Department of Mathematics, Sidho-Kanho-Birsha University, Purulia-723104, India ' Department of Mathematics, Sidho-Kanho-Birsha University, Purulia-723104, India

Abstract: 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.

Keywords: VCTSSTP; bi-fuzzy; genetic algorithm; ANOVA test.

DOI: 10.1504/IJAOM.2021.116138

International Journal of Advanced Operations Management, 2021 Vol.13 No.2, pp.184 - 208

Accepted: 16 Jan 2021
Published online: 12 Jul 2021 *

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