Volume 55, 2021Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|S2727 - S2746
|02 March 2021
An integrated production policy with defective items and stock-out based substitution under triangular dense fuzzy lock set environment
Department of Mathematics, IIT Kharagpur, Kharagpur 721302, India
2 Department of Mathematics (UG & PG), Midnapore College (Autonomous), Midnapore, India
3 Department of Mathematics, BITS Pilani, Dubai Campus, Dubai, UAE
* Corresponding author: firstname.lastname@example.org
Accepted: 17 September 2020
Brand substitution is common observed phenomenon in daily life. It is the decision makers’ economic understanding and potential scheme for business-industries. Also, it provides the flexibility in management and increases the ability to control the production. This works proposes an integrated supplier–retailer inventory model for substitutable products. Two suppliers work not works with two different brand products with their corresponding demand are involved and one retailer sells each of the products. To nullify the complexities of the joint optimization problem, we first develop a deterministic model for three cases: no substitution, partial substitution and full substitution, then we go for its fuzzification. Keeping the financial constraint of each producer, we have studied over the elasticity of the cost parameters by means of triangular dense fuzzy lock set approach with its locking and unlocking property for final decision making. Finally, sensitivity analysis and graphical illustrations are made to justify the model.
Mathematics Subject Classification: 90B06
Key words: Product substitution / multiple supplier / single retailer / defective items / triangular dense fuzzy lock set / supply chain / optimization
© EDP Sciences, ROADEF, SMAI 2021
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