Authors: S.V. Singh Padiyar; Naveen Bhagat; S.R. Singh; Neha Punetha; Himani Dem
Addresses: Department of Mathematics, Government College, Haldwani City, Uttarakhand, India ' Government College, Kotabhagh, Uttarakhand, India; Department of Mathematics, Government PG College, Kotabhagh, Uttarakhand, India ' Department of Mathematics, Chaudhary Charan Singh University, Meerut, India ' Department of Mathematics and Statistics, KGC, Gurukul Kangri (Deemed to be University), Haridwar, India ' Department of Mathematics, Rajdhani College, University of Delhi, India
Abstract: This article highlights an optimal strategy for a supply chain model having a defective manufacturing process for deteriorating items with cloudy fuzzy inflation. The system considers two different consumption rates at different time periods for the supplier. The imperfection during production causes ambiguity for the total production schedule, which affects the total shipment delivered by the manufacturer to the supplier. To emphasise the co-ordination between supplier and producer, a percentage of the total transport expenditures of the supplier is provided by the producer which helps the supplier to deliver the shipment fast and safely. The model has been developed over every likely expense incurred for the supply chain system, i.e., fixed and variable transportation costs, labour cost, costs of scrapping imperfect objects, etc. The formulated model is also justified using numerical examples and sensitivity analysis of the important parameters to inspect the effect on the optimal total cost.
Keywords: supply chain model; deteriorating item; imperfect production; two-warehouse; cloudy fuzzy numbers.
International Journal of Applied Decision Sciences, 2023 Vol.16 No.3, pp.255 - 299
Received: 11 Dec 2021
Accepted: 01 Jan 2022
Published online: 01 May 2023 *