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KTH / Teknikvetenskap / Matematik / Optimeringslära och systemteori

SF2863 Systems engineering,   2011

  • Official KTH information on the course

  • Some detailed course information (KursPM)


  • Latest exam
  • Exam, December 2011
  • Solutions, December 2011


  • Supplementary Course Material

  • On spare parts optimization. (Manuscript.)
  • On marginal allocation - MALLOC. (Manuscript.)
  • The Satellite. (Manuscript.)
  • Home assignment number 1.
  • Deadline: Tuesday November 8, kl 15.15 sharp !
  • Home assignment number 2.
  • Deadline: Wednesday November 30, 13.15 sharp !
  • Introduction slides from the class.
  • Notes for first part about Markov chains Since the pens were not working well I put up my notes here.
  • Matlab example illustrating the different possibilities for the behavior of the n-step transition matrix when n, the number of steps, grows large.
  • Periodicity explaining the periodic property of Markov chains
  • Slides from lecture 8
  • Deterministic dynp slides Shortest route slide
  • NEW! Here are pdf-files for the prototype example and the various solutions to this problem presented at the lectures:
  • Notes from exercise 8 MDP example 5.8 - The dam
  • Notes from exercise 8 DynP example - Reliability
  • Last years version of the formula sheet for the exam . It will be similar this year too.
  • Recommended exercises.
  • Errata for the exercises 2010. (Last years version) The errors in the 2010 version have been corrected in the 2011 version. Let me know if you find some errors in the 2011 version, (or other manuscripts), and I will publish corrections here.
  • Some basic results from Probability theory
    (If you have some more questions on these things, send me an email)
  • Old exams

  • Exam, June 2011
  • Solutions, June 2011
  • Exam, December 2010
  • Solutions, December 2010
  • Exam, June 2010
  • Solutions, June 2010
  • Exam, December 2009
  • Solutions, December 2009
  • Exam in SF2862 (not SF2863), June 2009.
    (ex. 3 is not so relevant for our course)
  • Solutions, June 2009.
  • Exam in SF2862 (not SF2863), March 2009.
    (ex. 3 is not so relevant for our course)
  • Solutions, March 2009.
  • Suggested reading in the book before (or after) the lectures:

    Lecture 1:     Sections 1.1-1.3, 16.1-16.7.
    Lecture 2:     Sections 16.8, 17.4.
    Lecture 3:     Sections 17.1-17.5
    Lecture 4:     Section 17.6,
    Lecture 5:     Section 17.9,
    Lecture 6:     On spare parts optimization (manuscript) sections 2 and 5.
    Lecture 7:     On marginal allocation (manuscript)
    Lecture 8:     On spare parts optimization (manuscript) sections 3-4.
    Lecture 9:     Sections 18.1-18.3, and problem 18.3-11.
    Lecture 10:   Sections 18.7.
    Lecture 11:   Guest Lecture
    Lecture 12:   Sections 10.1-10.3, 18.4.
    Lecture 13:   Sections 19.1-19.3.
    Lecture 14:   Sections 10.4-10.5, 19.4.
    Lecture 15:   Sections 19.5-19.6. (not successive approximations)


    Studentinformation