Synergy fuzzy profit for the inventory system of health care under inspection and disposal in the medical plant

This paper presents a fuzzy inventory model for health care products in a two-level health care supply chain, integrating health care pharmacies and health care companies’ activities to achieve maximum sales and profit. Traditional deterministic and probabilistic methods cannot model intrinsic uncertainties in demand, deterioration, and quality inspection. Current models are not adequate to analyze the impact of defective items on profitability and operational viability in healthcare inventory systems. The model considers production, inspection, and selling at the health care company level (Tier 1), demand and purchase at health care centers (Tier 2). Defective products are identified and scrapped through an inspection policy to provide quality goods to enter supply. The model utilizes fuzzy parameters such as holding costs, ordering costs, and deterioration rates using triangular fuzzification and defuzzification to enhance decision-making in uncertain settings. The paper derives an optimum replenishment policy with a maximum synergy profit and proves it using a numerical example and sensitivity analysis. The results show that the proposed model improves supply chain efficiency by maximizing replenishment strategies. In addition, the framework can be extended to multi-item supply chains, single-buyer multi-service providers, and multi-buyer multi-service providers networks, and therefore it has a broader application in health care.