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Authors:
Michael T. Goodrich, Roberto Tamassia, Michael H. Goldwasser
Chapter:
Graph Algorithms
Exercise:
Exercises
Question:70 | ISBN:9781118771334 | Edition: 6

Question

Suppose you are given a timetable, which consists of:
      • A set A of n airports, and for each airport a in A, a minimum connecting
        time c(a).
• A set F of m flights, and the following, for each flight f in F:
     ◦ Origin airport a1( f ) in A
     ◦ Destination airport a2( f ) in A
     ◦ Departure time t1( f )
     ◦ Arrival time t2( f )

Describe an efficient algorithmfor the flight scheduling problem. In this problem, we are given airports a and b, and a time t, and we wish to compute a sequence of flights that allows one to arrive at the earliest possible time in b when departing from a at or after time t. Minimum connecting times at intermediate airports must be observed. What is the running time of your algorithm as a function of n and m?

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