Analysis of economic order quantity under fuzzy environments

In the economic order quantity (EOQ) model, the decision maker has vague information about holding cost, ordering cost and market demand. With these uncertainties characterized as fuzzy variables, a new formula is developed by analyzing the fuzzy total cost. By comparing with other four EOQ formulas, i.e., using the crisp numbers with the highest membership values in classic EOQ formula, using the expected values of fuzzy parameters in classic EOQ formula, using the fuzzy variables in classic EOQ formula and then calculating the expected value, and calculating EOQ by hybrid intelligent algorithm simulation, the effectiveness of this formula is illustrated. © Tianjin University and Springer-Verlag Berlin Heidelberg 2010.