Search results for " inventory control"

showing 5 items of 5 documents

Robust control of uncertain multi-inventory systems via linear matrix inequality

2008

We consider a continuous time linear multi inventory system with unknown demands bounded within ellipsoids and controls bounded within ellipsoids or polytopes. We address the problem of "-stabilizing the inventory since this implies some reduction of the inventory costs. The main results are certain conditions under which "-stabilizability is possible through a saturated linear state feedback control. All the results are based on a Linear Matrix Inequalities (LMIs) approach and on some recent techniques for the modeling and analysis of polytopic systems with saturations.

Mathematical optimizationLinear Matrix InequalitiesPolytopeDynamical Systems (math.DS)stock control93xxcontinuous systems linear matrix inequalities linear systems manufacturing systems robust control state feedback stock control uncertain systemsimpulse control inventory control hybrid systemsSettore ING-INF/04 - AutomaticaControl theoryFOS: Mathematicsmanufacturing systemsMathematics - Dynamical Systemslinear matrix inequalitiesstate feedbackTime complexityMathematics - Optimization and ControlInventory systemsMathematicsInventory controlLinear Matrix Inequalities; Inventory systemsLinear systemlinear systemsLinear matrix inequality93Cxx;93xxLinearity93Cxxhybrid systemsEllipsoidComputer Science Applicationsimpulse control; inventory control; hybrid systemsuncertain systemsControl and Systems EngineeringOptimization and Control (math.OC)Control systemBounded functioncontinuous systemsPerpetual inventorycontinuous systems; linear matrix inequalities; linear systems; manufacturing systems; robust control; state feedback; stock control; uncertain systemsinventory controlRobust controlSettore MAT/09 - Ricerca Operativarobust controlimpulse control
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Neuro-Dynamic Programming for Cooperative Inventory Control

2004

Cooperative inventory control; Information flow; Neuro-dynamic programming (NDP)Information flowNeuro-dynamic programming (NDP)Cooperative inventory controlinventory control
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ROBUST CONTROL STRATEGIES FOR MULTI—INVENTORY SYSTEMS WITH AVERAGE FLOW CONSTRAINTS

2006

Abstract In this paper we consider multi—inventory systems in presence of uncertain demand. We assume that i) demand is unknown but bounded in an assigned compact set and ii) the control inputs (controlled flows) are subject to assigned constraints. Given a long—term average demand, we select a nominal flow that feeds such a demand. In this context, we are interested in a control strategy that meets at each time all possible current demands and achieves the nominal flow in the average. We provide necessary and sufficient conditions for such a strategy to exist and we characterize the set of achievable flows. Such conditions are based on linear programming and thus they are constructive. In …

Inventory controlMathematical optimizationManufacturing systemLinear programmingBounded disturbancesBounded disturbanceBounded disturbances; Inventory control; Linear programming; Manufacturing systems; Robust controlRobust controlContext (language use)General MedicineDynamic problemFlow (mathematics)Inventory control Robust control Bounded disturbances Manufacturing systems Linear programming.Control and Systems EngineeringControl theoryBounded functionLinear programmingSettore MAT/09 - Ricerca OperativaManufacturing systemsElectrical and Electronic EngineeringSpecial caseRobust controlMathematicsInventory control
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Boolean-controlled systems via receding horizon and linear programing

2009

We consider dynamic systems controlled by boolean signals or decisions. We show that in a number of cases, the receding horizon formulation of the control problem can be solved via linear programing by relaxing the binary constraints on the control. The idea behind our approach is conceptually easy: a feasible control can be forced by imposing that the boolean signal is set to one at least one time over the horizon. We translate this idea into constraints on the controls and analyze the polyhedron of all feasible controls. We specialize the approach to the stabilizability of switched and impulsively controlled systems.

Inventory controlMathematical optimizationControl and OptimizationLinear programmingApplied MathematicsHorizonSIGNAL (programming language)Binary numberSet (abstract data type)PolyhedronControl and Systems EngineeringControl theoryHybrid systemSignal ProcessingImpulse control inventory control hybrid systemsMathematics
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Robust optimality of linear saturated control in uncertain linear network flows

2008

We propose a novel approach that, given a linear saturated feedback control policy, asks for the objective function that makes robust optimal such a policy. The approach is specialized to a linear network flow system with unknown but bounded demand and politopic bounds on controlled flows. All results are derived via the Hamilton-Jacobi-Isaacs and viscosity theory.

Inventory controlMathematical optimizationControl theoryViscosity (programming)Bounded functionLinear systemOptimal control Robust optimization Inventory control Viscosity solutionsTrajectoryRobust optimizationSettore MAT/09 - Ricerca OperativaRobust controlOptimal controlMathematics2008 47th IEEE Conference on Decision and Control
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