abstract
- © 2021, The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid.This research work derives an EOQ inventory model with full backordering for imperfect quality products whose demand is nonlinear and depends on price. It is known that the lot received contains a portion of imperfect products which follows a known probability density function. Once the lot is received, immediately a 100% screening process is conducted with the objective of identifying the imperfect and perfect products and split them. The holding cost of perfect and imperfect items are different. The main purpose is to optimize jointly the lot size, the backordering level and the selling price in order to maximize an expected total profit. With the aim to validate and illustrate the proposed inventory model some numerical examples are solved. Finally, it is important to remark that the proposed inventory model is general model because this contains some inventory models previously published as particular cases.