{"product_id":"novel-and-faster-ways-for-solving-semi-markov-processes-von-marcio-das-chagas-moura-und-enrique-lopez-droguett","title":"NOVEL AND FASTER WAYS FOR SOLVING SEMI-MARKOV PROCESSES","description":"\u003cp\u003eSemi-Markov processes (SMP) are powerful stochastic  tools for modeling reliability measures over time.  This work precisely aims at proposing more efficient  mathematical and numerical treatments for SMP in  continuous time. The first approach (called 2N-) is  based on transition frequency densities and general  quadrature methods.  The other proposed method (in  short Lap-) applies Laplace transforms that are  inverted by a Gaussian quadrature method known as  Gauss Legendre to obtain the state probabilities in  time domain. Mathematical formulation of these  approaches as well as descriptions of their numerical  treatment are developed and provided with details.  The effectiveness of the novel 2N- and Lap-  developments is validated by using examples in the  context of oil industries. It is shown that the 2N-  and Lap- approaches are significantly less time- consuming and have comparable accuracy to Monte Carlo  simulation based solution.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838334219\"\u003e\u003ch3\u003eMATHEMATICAL AND NUMERICAL ISSUES\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838334219","offer_id":39499055071325,"sku":"9783838334219","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/9231204d-4e93-4d1a-a3d7-f32a58088555.jpg?v=1759208642","url":"https:\/\/shop.autorenwelt.de\/products\/novel-and-faster-ways-for-solving-semi-markov-processes-von-marcio-das-chagas-moura-und-enrique-lopez-droguett","provider":"Autorenwelt Shop","version":"1.0","type":"link"}