Environmentally Liable Multi-Objective Multi Time Span Fuzzy Fractional Capacitated Transportation Problem in the Two Echelon Supply Chain with Heterogeneous Items and Mixed Constraints
P. Vijayalakshmi1, J. Merline Vinotha2

1P. Vijayalakshmi, Hindusthan Institute of Technology, Coimbatore (Tamil Nadu), India.
2J. Merline Vinotha, Holy Cross College Autonomous, Trichy (Tamil Nadu), India.
Manuscript received on 20 July 2019 | Revised Manuscript received on 03 August 2019 | Manuscript Published on 10 August 2019 | PP: 728-736 | Volume-8 Issue-2S3 July 2019 | Retrieval Number: B11350782S319/2019©BEIESP | DOI: 10.35940/ijrte.B1135.82S319
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: In today’s world supply chain is an integral part of business. This paper proposed a model of environmentally liable multi-objective multi time span fuzzy fractional capacitated transportation problem (ELMOMTHIFFCTP) in the two echelon supply chain with heterogeneous items and mixed constraints. In this model, few objectives are considered as a linear function and few are fractional functions. Especially the objective function related to emission cost is considered as linear fractional objective function. The damage cost, labor cost, packing cost and quality cost are considered as triangular intuitionistic fuzzy numbers. This paper focuses on minimization of damage cost, labor cost, quality cost, packing cost and the ratio related to transportation cost , inventory carrying cost and emission cost of the entire supply chain. An industrial case demonstrates the feasibility of applying the proposed model to real world problem in a two – echelon supply chain under uncertain environment also determine an optimal inventory level for the warehouse and distribution centers using fuzzy programming approach through LINGO software.
Keywords: Fuzzy Programming Approach, Fractional Capacitated Transportation Problem, Heterogeneous Items, Multi -Time Span, Two Echelon Supply Chain.
Scope of the Article: Heterogeneous and Streaming Data