Fuzzy economic order quantity model with imperfect items, shortages and inspection errors

This paper studies a fuzzy EOQ engineering problem with imperfect quality and shortages. An inspector may make two types of errors while screening the received lot and an imperfect screening process (Raouf et al., 1983) is adopted. The fraction of defectives in the ordered lot is assumed to be a fuzzy number. A fuzzy EOQ model is formulated to describe this inventory engineering problem and optimal solutions are obtained. The effect of fuzziness of fraction of defectives on optimal solutions is illustrated by a numerical example.