Search results for "Inventory systems"

showing 4 items of 4 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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Noncooperative dynamic games for inventory applications: A consensus approach

2008

We focus on a finite horizon noncooperative dynamic game where the stage cost of a single player associated to a decision is a monotonically nonincreasing function of the total number of players making the same decision. For the single-stage version of the game, we characterize Nash equilibria and derive a consensus protocol that makes the players converge to the unique Pareto optimal Nash equilibrium. Such an equilibrium guarantees the interests of the players and is also social optimal in the set of Nash equilibria. For the multi-stage version of the game, we present an algorithm that converges to Nash equilibria, unfortunately not necessarily Pareto optimal. The algorithm returns a seque…

TheoryofComputation_MISCELLANEOUSDynamic gamesComputer Science::Computer Science and Game TheoryMathematical optimizationCorrelated equilibriumSequential gameConsensus ProtocolsComputer scienceA-priori; Consensus protocols; Dynamic games; Finite horizons; Inventory; Inventory systems; Joint decisions; Multi stages; Nash equilibrium; Pareto-optimal; Single stages; Unilateral improvementsSymmetric equilibriumOutcome (game theory)Joint decisionsNash equilibriumFinite horizonsMulti stagessymbols.namesakeBayesian gameSettore ING-INF/04 - AutomaticaPareto-optimalA-prioriCoordination gameFolk theoremPrice of stabilityRisk dominanceNon-credible threatConsensus Protocols Dynamic Programming Game Theory InventoryInventory systemsTraveler's dilemmaNormal-form gameStochastic gameInventoryComputingMilieux_PERSONALCOMPUTINGTheoryofComputation_GENERALMinimaxConsensus protocolsEquilibrium selectionNash equilibriumBest responseSingle stagesRepeated gamesymbolsEpsilon-equilibriumSettore MAT/09 - Ricerca OperativaSolution conceptDynamic Programming Game TheoryUnilateral improvementsMathematical economicsGame theoryConsensus Protocols; Dynamic Programming Game Theory; Inventory
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Average flow constraints and stabilizability in uncertain production-distribution systems

2009

We consider a multi-inventory system with controlled flows and uncertain demands (disturbances) bounded within assigned compact sets. The system is modelled as a first-order one integrating the discrepancy between controlled flows and demands at different sites/nodes. Thus, the buffer levels at the nodes represent the system state. Given a long-term average demand, we are interested in a control strategy that satisfies just one of two requirements: (i) meeting any possible demand at each time (worst case stability) or (ii) achieving a predefined flow in the average (average flow constraints). Necessary and sufficient conditions for the achievement of both goals have been proposed by the aut…

Mathematical optimizationStochastic stabilityControl and OptimizationComputer scienceSCHEDULING POLICIESUNKNOWN INPUTSInventory control; Robust controlRobust controlUncertain systemsUncertain demandsManagement Science and Operations ResearchControl strategies; Inventory systems; Uncertain demands; Worst caseStability (probability)Distribution systemMULTI-INVENTORY SYSTEMSControl theoryProduction (economics)Inventory control Robust control Stochastic stabilityAverage costInventory systemsMathematicsInventory controlStochastic processControl strategiesApplied MathematicsWorst caseNETWORKSControllabilityFlow (mathematics)Bounded functionProduction controlRobust controlSettore MAT/09 - Ricerca OperativaMANUFACTURING SYSTEMS
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Robust control in uncertain multi-inventory systems and consensus problems

2008

Abstract We consider a continuous time linear multi–inventory system with unknown demands bounded within ellipsoids and controls bounded within 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. The idea of this approach is similar to the consensus problem solution for a network of continuous time dynamic agents, where each agent evolves according to a first order dynamics has bounded control and it is subject to unknown but bounded disturbances. In this context, we derive conditions under…

LMI; robust control; inventory systems; consensusMathematical optimizationMulti-agent systemMulti-agent systemsPolytopeContext (language use)EllipsoidCooperative systemsReduction (complexity)inventory systemsConsensusSettore ING-INF/04 - AutomaticaconsensusControl theoryBounded functionLMI robust control inventory systems consensusLMIRobust controlSettore MAT/09 - Ricerca OperativaDistributed control and estimationrobust controlCooperative systems; Distributed control and estimation; Multi-agent systemsMathematics
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