Management of Inventory for Periodically Reviewed Goods Using Discrete Higher Order Sliding Mode

ABSTRACT This paper describes control of inventory systems with nonperishable goods. The inventory system considered is a periodic review system where system is reviewed periodically and orders issued are replenished by the supplier after some time called lead time. The objectives expected from such a system are that the customer demand is fulfilled and the desired stock is maintained. The customer demand is considered as an uncertainty into the system and control law based on discrete sliding-mode control is developed for replenishing orders. The control law based on higher order sliding-mode control is also developed which estimates the future sales to issue the replenishment orders, thus smoothing the orders issued. The state-space model is developed and simulations are done for replenishment orders, the on-hand stock and the supply to meet the demand. The results validate the required objectives.