. . "Perturbace a odhady chyb v markovsk\u00FDch procesech s ohodnocen\u00EDmi"@cs . "Perturbations and Error Bounds in Discounted Markov Reward Models"@en . . "2007-06-03+02:00"^^ . "RIV/67985556:_____/07:00083287" . . "441075" . . "8"^^ . "RIV/67985556:_____/07:00083287!RIV08-AV0-67985556" . . "[1E259FB4F834]" . . . "Perturbace a odhady chyb v markovsk\u00FDch procesech s ohodnocen\u00EDmi"@cs . "Univerzita P.J. \u0160af\u00E1rika v Ko\u0161ic\u00EDch" . "Perturbations and Error Bounds in Discounted Markov Reward Models"@en . "Her\u013Aany" . . . "1"^^ . "158;165" . "Perturbations and Error Bounds in Discounted Markov Reward Models" . . "P(GA402/05/0115), P(GA402/07/1113), Z(AV0Z10750506)" . . "1"^^ . . "V p\u0159\u00EDsp\u011Bvku je uvedeno jednoduch\u00E9 odvozen\u00ED z\u00E1kladn\u00EDch perturba\u010Dn\u00EDch vztah\u016F pro markovsk\u00E9 \u0159et\u011Bzce s diskr\u00E9tn\u00EDm \u010Dasem: Tyto vztahy jsou n\u00E1sledn\u011B pou\u017Eity pro markovsk\u00E9 procesy s ohodnocen\u00EDmi. Pro p\u0159\u00EDpad krit\u00E9ria pr\u016Fm\u011Brn\u00E9ho v\u00FDnosu perturba\u010Dn\u00ED vztahy plynou okam\u017Eit\u011B; pro modely s diskontovan\u00EDm p\u0159ibli\u017En\u00E9 rovnice dostanememe rozvojem mocnin p\u0159echodov\u00FDch matic, p\u0159esn\u011B vztahy pak transformac\u00ED diskontovan\u00FDch model\u016F na tvar odpov\u00EDdaj\u00EDc\u00ED model\u016Fm s krit\u00E9riem pr\u016Fm\u011Brn\u00E9ho v\u00FDnosu."@cs . . "Perturbations and Error Bounds in Discounted Markov Reward Models" . "Discrete-time Markov and Markov reward chains; perturbation theory; updating formulas"@en . . . "Ko\u0161ice" . "Sladk\u00FD, Karel" . "This note presents succinct proofs of the basic perturbation formulas for the steady state distributions of finite state discrete-time Markov chains. Perturbation results are then applied to Markov reward chains. For the average reward criterion the respective perturbation formulae follow then immediately. For models with discounting some perturbation formulas are presented and it is shown how the perturbation results for steady state distributions can be employed for obtaining error bounds formulas of total discounted rewards." . "Proceedings 15th International Scientific Conference on Mathematical Method in Economics and Industry" . . "978-80-89089-58-1" . "This note presents succinct proofs of the basic perturbation formulas for the steady state distributions of finite state discrete-time Markov chains. Perturbation results are then applied to Markov reward chains. For the average reward criterion the respective perturbation formulae follow then immediately. For models with discounting some perturbation formulas are presented and it is shown how the perturbation results for steady state distributions can be employed for obtaining error bounds formulas of total discounted rewards."@en . . .