Affiliations: [a]
Department of Mathematics, Queen Mary’s College, Chennai, Tamil Nadu, India
| [b]
Department of Mathematics, Rajalakshmi Institute of Technology, Chennai, Tamil Nadu, India
Correspondence:
[*]
Corresponding author. D. Nagarajan, Department of Mathematics, Rajalakshmi Institute of Technology, Chennai, Tamil Nadu, India. E-mail: dnrmsu2002@yahoo.com.
Abstract: Inventory plays an important role in the production process. One of the primary reasons why inventory management modeling is essential for the industry is because it will suffer immensely if there are insufficient food products to stock during the shutdown period. By determining the combined optimal cost of the retailers and wholesalers, this research significantly improves the service of the supply chain from wholesaler to retailer. The stochastic number for the imperfect perishable items is provided in this inventory study. By altering the parameter values, the uniform distribution is used to calculate these damaged items. This approach identifies the backordering quantity for both regular and uncertain fish band circumstances. The cost of maintaining the inventory will rise significantly of increased wastage due to a rise in deteriorating, which will result in the loss of perishable food items. The primary goal of this research paper is to transport them without being destroyed until they reach their desired consumers. By determining the back ordering quantity during a shutdown, one can decrease the overall expenses incurred by the retailers. These computational complexity measures are proven in a fuzzy uncertain environment. The main goal of this paper is to analyze the variation of demand during the unanticipated period and find the optimum total cost of the perishable products. The growth of production in a particular area at a particular time, interconnect with another large number of products in the same area and is calculated by Verhulst’s demand with time depended on proficiency rate. Concerning the existing Verhulst’s demand pattern for the production process, this paper introduced that for perishable items in a fuzzy unanticipated situation. A bountiful system analysis is performed to find the cost function under fuzzy environment and the sensitivity analysis is carried out to perform the key representation constant.
Keywords: Perishable items, unanticipated period, verhulst’s demand, hexagonal fuzzy number, backorders, geographical market, fish ban period
