Kalman filter based production control of a failure-prone single-machine single-product manufacturing system with imprecise demand and inventory information
An adaptive production control structure for failure-prone manufacturing systems under inventory and demand uncertainty is proposed. It contains estimation and forecasting modules incorporated into a control loop. The customer demand is unknown and its rate is composed of ramp-type, seasonal and random components. Information available to decision maker consists of imprecise inventory records, and the Kalman filter technique is used for estimating the inventory level and demand rate online from noisy inventory measurements. Estimates obtained are shown to converge to the actual values in stochastic sense. They are subsequently used for demand component forecasting, once the estimation errors become sufficiently small. A forecasting algorithm allows estimating ramp-type and seasonal demand components, together with their potential errors. Obtained estimates are incorporated into production control procedures, recently developed for manufacturing systems under variable and uncertain demand. Optimality conditions in the form of Hamilton-Jacobi-Bellman equations are obtained. A constructive numerical method for computing sub-optimal production policies is proposed and validated through numerical simulations.
机构:
Zaragoza Logist Ctr, MIT Zaragoza Int Logist Program, Global Scale, Zaragoza 50197, SpainZaragoza Logist Ctr, MIT Zaragoza Int Logist Program, Global Scale, Zaragoza 50197, Spain
Diaz, Rafael
Bailey, Mike P.
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US Marine Corps Combat Dev Command, Combat Dev & Integrat, Quantico, VA 22134 USAZaragoza Logist Ctr, MIT Zaragoza Int Logist Program, Global Scale, Zaragoza 50197, Spain
Bailey, Mike P.
Kumar, Sameer
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Univ St Thomas, Opus Coll Business, Operat & Supply Chain Management, 1000 LaSalle Ave, Minneapolis, MN 55403 USAZaragoza Logist Ctr, MIT Zaragoza Int Logist Program, Global Scale, Zaragoza 50197, Spain
机构:
Zaragoza Logist Ctr, MIT Zaragoza Int Logist Program, Global Scale, Zaragoza 50197, SpainZaragoza Logist Ctr, MIT Zaragoza Int Logist Program, Global Scale, Zaragoza 50197, Spain
Diaz, Rafael
Bailey, Mike P.
论文数: 0引用数: 0
h-index: 0
机构:
US Marine Corps Combat Dev Command, Combat Dev & Integrat, Quantico, VA 22134 USAZaragoza Logist Ctr, MIT Zaragoza Int Logist Program, Global Scale, Zaragoza 50197, Spain
Bailey, Mike P.
Kumar, Sameer
论文数: 0引用数: 0
h-index: 0
机构:
Univ St Thomas, Opus Coll Business, Operat & Supply Chain Management, 1000 LaSalle Ave, Minneapolis, MN 55403 USAZaragoza Logist Ctr, MIT Zaragoza Int Logist Program, Global Scale, Zaragoza 50197, Spain