S-38.149 Postgraduate Course in Teletraffic Theory, Fall 2001 Homeworks by Timo Holopainen Deadline: 19 November 1) Exercise 5.7 (page 208 of the textbook) 2) Consider the single origin/all destinations shortest path problem (section 5.2.2, page 192). Show that each artificial arc eventually becomes the out-arc but never becomes the in-arc. 3) Exercise 5.15 (page 211 of the textbook): Show that feasible trees, basic flow vectors, and price vectors generated by the two methods are in one-to-one correspondence.