Receding horizon control of a hybrid production system with deteriorating items

Optimal Control for Advertised Production Planning in a Three-Level Stock System with Deteriorating Items: Case of a Continuous-Review Policy

“…The subject was studied by Foul and Tadj [15] to consider items in either stock as subject to deterioration. Hedjar et al [18] applied for a control strategy, over a receding horizon to a reverse-logistics system with deteriorating items. They determined optimal production rates to be implemented at the beginning of each of the following periods over the horizon with regard to actual inventory levels.…”

“…Note that the three components of the state vector x (t) thus determined in (18) are the state variables I m (t) , I r (t) , I RE (t) , D m (t) and D r (t). Also, the co-state vector (t) thus obtained in (19) is used in conjunction with Eq.…”

Adaptive control of inventory systems with unknown deterioration rate

“…In Hedjar et al (2004Hedjar et al ( , 2005Hedjar et al ( , 2007), a reference model ðI d ; u d Þ is given and the objective is to obtain the state and control (I, u) that minimize a performance index defined as the sum of the penalty costs incurred when (I, u) deviate from their respective goals (I d , u d ). In the MRAC technique, no objective function is designed.…”

“…Receding-horizon control: Hedjar et al (2005) applied a discrete-time technique in which the control action is obtained by repeatedly solving on-line open-loop optimization problems at each time step. Predictive control: Hedjar et al (2004) used a j-step ahead predictor to predict the tracking error.…”

Optimal and self-tuning optimal control of a periodic-review hybrid production inventory system

“…The model we are considering was introduced by Hedjar et al [7]. A graphical illustration of this simple manufacturing/remanufacturing system is given in Fig.…”