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.

KEYWORDS:

• Discrete-time systems higher order sliding mode
• Inventory management
• Non-perishable goods
• Sliding-mode control
• Unmatched uncertainty

DISCLOSURE STATEMENT

No potential conflict of interest was reported by the authors.

Additional information

Notes on contributors

Rajashree Taparia

Rajashree Taparia received her MTech in Systems and Control Engineering from Indian Institute of Technology, Bombay in 2002. Currently, she is working as Associate professor in Electronics Engineering at Rajasthan Technical University, Kota and pursuing her doctoral research in Inventory control. Her research interests are discrete-time systems, sliding mode control.

E-mail: [email protected]

S. Janardhanan

S. Janardhanan received his MTech and PhD in Systems and Control Engineering from Indian Institute of Technology Bombay in 2002 and 2006, respectively. Currently, he is a faculty with the Department of Electrical Engineering, Indian Institute of Technology Delhi. He has over 100 publications in journals and conferences of international repute to his credit. His research interests include discrete-time systems, model order reduction, sliding mode control and robotics.

E-mail: [email protected]

Rajeev Gupta

Rajeev Gupta received his MTech and PhD in Systems and Control Engineering from Indian Institute of Technology, Bombay in 1995 and 2004 respectively. Currently, he is working as Professor in Electronics Engineering at Rajasthan Technical University, Kota. His research interests are Control of Power System Stabilizer, discrete-time systems and intelligent control. He has about 100 publications in journals and conferences.

E-mail: [email protected]