Economic fish production inventory model for perishable fish items with the detoriation rate and the added value under p

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ORIGINAL ARTICLE

Economic fish production inventory model for perishable fish items with the detoriation rate and the added value under pentagonal fuzzy number V. Kuppulakshmi1 · C. Sugapriya1 · D. Nagarajan2 Received: 10 July 2020 / Accepted: 16 October 2020 © The Author(s) 2020

Abstract In marine fishing, a considerable planning is required for developing socio-economic value of fishermen. This research explores the discussion in optimal fish manufacturing quantity for perishable fish items in the vessel during yachting. The rate of deterioration is treated as a Pentagonal Fuzzy Number (PFN) to obtain the optimal total cost. The convexity of the model is proved by satisfying the constraint equation in a fuzzy environment. An efficient procedure is applied to find the annual fish production quantity and the production in a single period to avoid the faulty measurement in the demand for fish items and the supply to the retailers. In addition, a few sensitivity analyses are carried out for the repair cost and the added value cost to indicate the existence of the total cost in the least possible range. Some managerial discrimination is also included. Keywords Fishermen · Annual production cost · Labor cost · Pentagonal fuzzy number · Added value cost

Introduction High financial investment plays a vital role in Marine fishing industry. A large number of fishing vessels are required for marine fishing. Very high financial setup is needed for one production plane which includes groceries, diesel, ice, medical things etc. The cost of the new medium-range vessel for nearly 70 lakhs and the cost of the second-hand vessel nearly 40 lakhs are used by the fishermen in Kasimedu (North Chennai, Tamil Nadu). It is possible to carry 4000 kg of fish items in one production cycle for a new vessel and 2000 kg of fish items in one production cycle for the second-hand vessel. In the fishing industry, lack of market infrastructure, the imbalance between the fish demand and the supply of fish to the retailer’s

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C. Sugapriya [email protected] V. Kuppulakshmi [email protected] D. Nagarajan [email protected]

1

Department of Mathematics, Queen Mary’s College, University of Madras, Chennai, Tamil Nadu, India

2

Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, Tamil Nadu, India

knowledge in the quality of the fish are the main consequences faced by the fishermen. In this paper, the importance of finding the fish production quantity techniques is used for maximizing the profit of the fishermen. For making the high profit in the fishing industry, the high financial investments and the perfect plan to supply the fish products are required to the buyer in an optimal time. Chidambaram and Debhi [1] published the book in which, they examined the coastal areas mainly in Gujarat and they collected the risk factors that were influencing the fish marketing. The cost spent on handling the fish products and the cost function of fresh fish handled and dry fish handled per year are discussed. Su