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

C. Sugapriya,V. Kuppulakshmi,D. Nagarajan

doi:10.1007/s40747-020-00222-8

C. Sugapriya, V. Kuppulakshmi + Show 1 more

Open Access

https://doi.org/10.1007/s40747-020-00222-8

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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.

Highlights

High financial investment plays a vital role in Marine fishing industry
This paper focused on the demand function with three different cases and the optimum cycle time, the optimum ordered quantity and the total cost are derived for n number of cycles
The rate of deteriorated fish items in a vessel, added value cost of fish product and repair cost are treated as a pentagonal fuzzy number, according to that, the following total cost function is obtained as a pentagonal fuzzy number which is given by Eqs. (34)–(38)

Summary

Introduction

High financial investment plays a vital role in Marine fishing industry. A large number of fishing vessels are required for marine fishing. The total annual cost (TCF ) of fish products includes the setup cost for the vessel (SC), annual repair cost of the vessel (RC), labor cost (LC), annual disposal cost (FDC), annual maintenance cost (MC), shipment cost (SP) added value cost (AVc). Holding cost of fish products in the vessel include ice, water, coolant cans which are used during yachting etc., the cost function is given below, HC nh ImaxT (11). The rate of deteriorated fish items in a vessel, added value cost of fish product and repair cost are treated as a pentagonal fuzzy number, according to that, the following total cost function is obtained as a pentagonal fuzzy number which is given by Eqs.

A Fd h Fp

Conclusion