Presenting the Relief Items Procurement Model under Multi-attribute Reverse Auction Using a Fuzzy Multi-objective Programming Approach

Providing required relief items in the condition of post-disaster is a time-consuming and complex problem because of demands uncertainty and the severity of the disaster. This paper presents a model based on auction with the aim to facilitate purchase activities and to make coordination between suppliers and relief organizations. The structure of the proposed auction includes construction and evaluation phases which are managed by the suppliers (sellers) and relief organizations (customer) respectively. In the bid construction phase, a fuzzy multi-objective non-linear mathematical programming model is presented that addresses disruption risk in both distribution centers and suppliers and uncertainty among parameters. The proposed model is solved using augmented ε-constraint method, and optimal packages of the suppliers including price, delivery time and quantity of relief items is determined. In the bid evaluation phase, in order to rank the suppliers fuzzy promethee technique was used. In this stage of the bid, each supplier will be assessed by customers regarding proposed packages and other qualitative criteria and the winner of the bid will be determined. To illustrate the validity and applicability of the proposed model, a numerical example is provided, and it has been analyzed from various aspects