An EOQ Model with Carbon Constraints Without Loss of Generality with Uncertain Cost and Uncertain Carbon Emission Associated with Some Fuzzy Parameters

Abstract

Economic Order Quantity (EOQ) models without loss of generality for single items and multi-items are presented to choose an order quantity that minimizes its cost per unit time subject to the constraint on the amount of carbon emitted. Here, the proposed model is discussed in an uncertain environment. So, the EOQ model with a fixed cost, holding cost, and purchased cost (or produced cost) has been considered in a fuzzy environment. Also, fixed emitted carbon, holding emitted carbon, and purchased (or produced) emitted carbon are taken in a fuzzy environment with the limitation of total carbon emission per unit production time. Here we considered a fixed cost, holding cost, and purchased cost (or produced cost) as trapezoidal fuzzy numbers. The computational procedure for the defined EOQ model is carried out by using the signed-distance method and expected value technique. Numerical examples are also given to exemplify the proposed model.