single-supplier single-buyer supply chain

Minimizing total joint cost of a two-echelon single-supplier single-buyer supply chain with discount

The paper should include following sections.
1-Introduciton: explaining a brief history of supply chain coordination and discounts offered by the suppliers to attract customers. Purpose of this paper and what is going to be covered and a quick outline of the paper.
2- Literature review: categorize the articles provided by the discounts they offer and write about each category in a different subsection. In each subsection, define the discount that is used, cite the articles and explain what the paper has achieved.
3- Problem description: using 2 of the papers (I will discuss that with my writer later) define the problem to be solved along with notations, assumptions and relevant equations. The problem is for single-supplier single-buyer with multiple products and the supplier is not a manufacturer, but only a warehouse. The supplier offers all-unit and incremental quantity discount to the buyer and then the buyer places the order. The supplier’s holding cost, setup cost and purchasing cost should be taken into account. Buyer’s total cost includes purchasing cost, ordering cost and holding cost. Also, explain how this problem has been chosen based on the gap in the literature.
4- Methodology: propose a methodology to solve the problem and the justification for choosing this specific method based on the literature. Write the necessary equations for the proposed method and insert all the input from the problem description.

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