In this paper, the optimal strategy for a single product single supplier inventory system with random demand is analyzed by using robust predictive control with additive random parameter. We formulate the dynamical system of this system as a linear state space with additive random parameter. To determine and analyze the optimal strategy for the given inventory system, we use robust predictive control approach which gives the optimal strategy i.e. the optimal product volume that should be purchased from the supplier for each time period so that the expected cost is minimal. A numerical simulation is performed with some generated random inventory data. We simulate in MATLAB software where the inventory level must be controlled as close as possible to a set point decided by us. From the results, robust predictive control model provides the optimal strategy i.e. the optimal product volume that should be purchased and the inventory level was followed the given set point.In this paper, the optimal strategy for a single product single supplier inventory system with random demand is analyzed by using robust predictive control with additive random parameter. We formulate the dynamical system of this system as a linear state space with additive random parameter. To determine and analyze the optimal strategy for the given inventory system, we use robust predictive control approach which gives the optimal strategy i.e. the optimal product volume that should be purchased from the supplier for each time period so that the expected cost is minimal. A numerical simulation is performed with some generated random inventory data. We simulate in MATLAB software where the inventory level must be controlled as close as possible to a set point decided by us. From the results, robust predictive control model provides the optimal strategy i.e. the optimal product volume that should be purchased and the inventory level was followed the given set point.
[1]
Ardeshir Bahreininejad,et al.
Multi-Item Multiperiodic Inventory Control Problem with Variable Demand and Discounts: A Particle Swarm Optimization Algorithm
,
2014,
TheScientificWorldJournal.
[2]
Przemyslaw Ignaciuk,et al.
Linear-Quadratic Optimal Control of Periodic-Review Perishable Inventory Systems
,
2012,
IEEE Transactions on Control Systems Technology.
[3]
Jan M. Maciejowski,et al.
Predictive control : with constraints
,
2002
.
[4]
Jean-Claude Hennet,et al.
Inventory control in a multi-supplier system
,
2004
.
[5]
Christelle Guéret,et al.
Joint-optimization of inventory policies on a multi-product multi-echelon pharmaceutical system with batching and ordering constraints
,
2013,
Eur. J. Oper. Res..
[6]
Karl G. Kempf,et al.
Model predictive control strategies for supply chain management in semiconductor manufacturing
,
2007
.
[7]
S. Minner.
Multiple-supplier inventory models in supply chain management: A review
,
2003
.
[8]
Alberto Bemporad,et al.
Predictive Control for Linear and Hybrid Systems
,
2017
.
[9]
Han Yang,et al.
Blow-up criteria for the inhomogeneous nonlinear Schrödinger equation
,
2014
.
[10]
Guillermo Gallego,et al.
Inventory management under highly uncertain demand
,
2007,
Oper. Res. Lett..