An integrated multi-objective model for allocating the limited sources in a multiple multi-stage lean supply chain

In this paper, a multiple objective programming model has been presented as a supply chain with the general purpose of adopting an integrated approach such that with making optimal decisions about the optimum allocation of limited sources in the supply chain, selection of the suppliers, production, distribution and supply programming yields, the least cost and the most income and finally maximizes the profit of the chain. The proposed model attempts to regard the integration condition very well with consideration of factors such as the conditions for suppliers, producers, and distributors as well as free relations of producers with each other in the direction of providing products through a process or even the products from each other. The presented model, for more adaptation to reality, is flexible against the dynamism of the demand, and it considers the effect of economic factors on decisions such as inflation. A numerical example is then given to show the applicability of the proposed model. This model covers the operational dimension of the chain very well with appropriate programming for production and controlling the inventories.