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Stokastisk dynamisk programmering×Stokastisk Heltalsprogrammering×
FagområdeSimuleringSimulering
FamilieProcess / pipelineProcess / pipeline
Oprindelsesår19571990s–2000s
OphavspersonBellman, R.; formalized for stochastic settings by Puterman, M. L.Birge, J. R.; Louveaux, F.; Sen, S.
TypeSequential optimization under uncertaintyStochastic optimization model
Oprindelig kildeBellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780486428093Birge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer Series in Operations Research. New York: Springer. ISBN: 9780387982175
AliasserSDP, Markov Decision Process, MDP, Stochastic DPSMIP, Stochastic MIP, Mixed-Integer Stochastic Programming, SMILP
Relaterede65
ResuméStochastic Dynamic Programming (SDP) is a mathematical optimization framework for sequential decision problems where outcomes are partly random. It extends Bellman's principle of optimality to stochastic environments, representing problems as Markov Decision Processes (MDPs) and computing optimal policies by solving recursive value equations over states and time periods.Stochastic Mixed-Integer Programming (SMIP) is an optimization framework that finds the best mix of binary, integer, and continuous decisions when key parameters — costs, demands, capacities — are uncertain and modeled as probability distributions over a set of scenarios. It extends classical MIP by embedding scenario trees or expected-value objectives that hedge against uncertainty while respecting combinatorial constraints.
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ScholarGateSammenlign metoder: Stochastic Dynamic Programming · Stochastic Mixed-Integer Programming. Hentet 2026-06-15 fra https://scholargate.app/da/compare