  The economic ordering quantity (EOQ) is the first inventory model which has
still being studying extensively till nowadays. Several considerations have
been incorporated throughout the time such as backorders and imperfect quality.
More recently, sustainability issues have also been introduced to the
literature of inventory models remarking the increasing importance of the three
bottom line: environment, social and economic criteria. In that sense, the aim
of this research work is to develop a new sustainable inventory model
considering a discontinuous transportation cost function and a new carbon
emissions function to include different sources of pollution in the decision
making process that are not taken into account using the traditional approaches
in the inventory literature. The proposed inventory model permits to obtain a
continuous and a discrete solution for the lot size and constitutes an
easy-to-use process that can be implemented in a simple manner.
