An Optimizing Integrated Inventory Model with Investment for Quality Improvement and Setup Cost Reduction

This paper presents a vendor-buyer integrated inventory model. This paper considers the problem of a vendor and buyer integrated production inventory model for the vendor and the buyer optimization model under quality improvement investment and setup cost reduction in the production system such that the total profit is maximized. The relationship between demand and price is considered as a linear. Entirety profit is the supply chain presentation calculate and it is calculated as the dissimilarity among revenue from sales and total cost, where the last is the sum of the vendor’s and buyer’s setup/order and inventory holding costs, opportunity in setup cost and opportunity investment cost. This manuscript efforts to conclude the optimal production run time and capital investments in setup cost reduction and process quality improvement for production system such that the total profit is maximized. The main focus for this paper is the setup cost reduction and investment for quality improvement. The proposed model is based on the integrated total profit for both buyer and vendor which find out the optimal value of order quantity, opportunity investment cost for quality improvement and setup cost reduction. The solution procedure is developed in order to find the total profit of the vendor and the buyer which is to be maximized. To conclude, a numerical example is given to demonstrate the solution procedure.