A buy back contract was introduced to an equilibrium model of a supply chain network with stochastic demand.

A buy back contract is put forward to optimize the performance of the supply chain.

In a one-supplier-one-retailer supply chain facing stochastic sales effort dependent demand,it is proved that supply chain coordination can not be achieved by using traditional buy back contract when retailer is a leader and supplier is a follower.

For two stage supply chain consisting of one supplier and one retailer who faces stochastic market demand, it can be coordinated with buy back contract under some setting.

This paper researches the buy back contract how to coordinate the supply chain on the condition that the supplier s and the retailer s marginal costs increase with their outputs.

To the supply chain coordinating by buyback contract,formation method of feasible set for buyback contract s adjusted parameters was put forward,according to the analysis of profitability of the retailer with different choices.

The supply chain coordination with buyback contract under uncertain demand is studied.

Then a buy-back contract with effort sharing is founded to coordinate incentive discrepancy between supply chain members.

To perishable products monopolization supply chain, a lot of supplier adopt buy-back contract and return policy, so it i.

The dealing space of linear strategy between both sides is presented and supply chain coordination can be realized through using buy-back contract from the perspective of maximizing supply chain profit.