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Course: COMP 108, Fall 2009
School: East Los Angeles College
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Word Count: 214

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Algorithmic COMP108 Foundations Tutorial 10 18 April 2008 Note: If youve spent 10 minutes on a question without any clue of how to proceed, talk to the demonstrator. 1. Suppose there are two assembly lines each with 4 stations, Si,j . The assembly time is given in the circle representing the station and the transfer time is given next to the arrow from one station to another. S1,1 30 40 0 S1,2 50 10 10 20 S2,2 0...

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Algorithmic COMP108 Foundations Tutorial 10 18 April 2008 Note: If youve spent 10 minutes on a question without any clue of how to proceed, talk to the demonstrator. 1. Suppose there are two assembly lines each with 4 stations, Si,j . The assembly time is given in the circle representing the station and the transfer time is given next to the arrow from one station to another. S1,1 30 40 0 S1,2 50 10 10 20 S2,2 0 40 S2,3 0 S1,3 40 20 0 S1,4 10 start 30 30 S2,1 0 30 0 50 S2,4 nish (a) Using dynamic programming, ll in the table of the minimum time fi [j] needed to get through station Si,j . You should also show all the intermediate steps in computing these j values. f1 [j] 1 2 3 4 (c) Which stations should be chosen? 2. Consider the following recurrence. T (n) = 1 T (n 1) + T (n 3) if 0 n 2 if n > 2 f2 [j] (b) What is the minimum time f needed to get through the assembly line? (a) Design and write a pseudo code for a recursive procedure to compute T (n). (b) Draw the execution tree for T (7). (c) Using the concept of dynamic p...

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