Title: A sustainable production model for Industry 4.0 with fuzzy optimisation approach

Authors: Manisha Pant; Neelanjana Rajput; Seema Sharma; Anand Chauhan

Addresses: Department of Mathematics and Statistics, Gururkul Kangri Deemed to be University, Haridwar, UK, India ' Department of Mathematics, Govt. Degree College, Rudraprayag, UK, India ' Department of Mathematics and Statistics, Gurukul Kangri (Deemed to be University), Haridwar, UK, India ' Department of Mathematics, Graphic Era (Deemed to be University), Dehradun, UK, India

Abstract: A clean and sustainable environment has become a primary goal for any organisation. Industrial Revolution 4.0 and sustainable development are two new technological and organisational patterns that are impacted by improving efficiency and ensuring long-term sustainability. The aim of this work is to make a sustainable supply chain smarter for which an autonomation inspection policy has been considered to reduce human mistakes. The demand rate for the retailer depends on marketing parameters that have been considered here. This study also explores a production system that switches from an in-control to an out-of-control state at random. There are uncertainties in some parameters of the system, the triangular intuitionistic fuzzy number has been used and the signed distance defuzzification method is applied to get the final total inventory cost in fuzzy environment. The proposed model is validated by using numerical illustration and sensitivity analysis of the relevant parameters has been provided.

Keywords: optimisation; supply chain management; Industry 4.0; autonomation inspection policy; imperfect production; intuitionistic fuzzy number; defuzzification.

DOI: 10.1504/IJMOR.2025.150905

International Journal of Mathematics in Operational Research, 2025 Vol.32 No.4, pp.551 - 570

Received: 30 Oct 2023
Accepted: 24 Dec 2023
Published online: 05 Jan 2026 *

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