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Example: building a house A small sample: Let ti, to, tm, tn, tt, to be start times of the associated tasks. Now use the graph to write the dependency constraints: 0,3 FINISH $,2 CARPENTRY Source: HBR 1963 43 FINISH FLOORING m,1 VARNISH FLOORS KITCHEN FIXTURES n,2 13 PAINT FINISH PLUMBING • Tasks o, m, and n can't start until task / is finished, and task / takes 3 days to finish. So the constraints are: ti +3≤ to, t₁ + 3 ≤ tm, ti +3 ≤ tn . Task t can't start until tasks m and n are finished. Therefore: tm +1≤tt, tn + 2 ≤ tt, • Task s can't start until tasks o and t are finished. Therefore: to +3≤ts, tt + 3 ≤ ts 4-24

Example: building a house A small sample: Let ti, to, tm, tn, tt, to be start times of the associated tasks. Now use the graph to write the dependency constraints: 0,3 FINISH $,2 CARPENTRY Source: HBR 1963 43 FINISH FLOORING m,1 VARNISH FLOORS KITCHEN FIXTURES n,2 13 PAINT FINISH PLUMBING • Tasks o, m, and n can't start until task / is finished, and task / takes 3 days to finish. So the constraints are: ti +3≤ to, t₁ + 3 ≤ tm, ti +3 ≤ tn . Task t can't start until tasks m and n are finished. Therefore: tm +1≤tt, tn + 2 ≤ tt, • Task s can't start until tasks o and t are finished. Therefore: to +3≤ts, tt + 3 ≤ ts 4-24

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Buiding an optimization model for the building a house problem, and solve it using JuMP and Clp.Example: building a house
A small sample:
Let t1,t0,tm,tn,tt,ts be start
times of the associated tasks.
Now use the graph to write the
dependency constraints:
Tasks 0,m, and n can't start until task I is finished, and task I
takes 3 days to finish. So the constraints are:
t1+3≤3≤t0,t1+3≤tm,t1+3≤tn
Task t can't start until tasks m and n are finished. Therefore:
tm+1≤tt,tn+2≤tt,takes 3 days to finish. So the constraints are:

Task s can't start until tasks 0 and t are finished. Therefore:
t0+3≤ts,tt+3≤ts
Example: building a house A small sample: Let ti, to, tm, tn, tt, to be start times of the associated tasks. Now use the graph to write the dependency constraints: 0,3 FINISH $,2 CARPENTRY Source: HBR 1963 43 FINISH FLOORING m,1 VARNISH FLOORS KITCHEN FIXTURES n,2 13 PAINT FINISH PLUMBING • Tasks o, m, and n can't start until task / is finished, and task / takes 3 days to finish. So the constraints are: ti +3≤ to, t₁ + 3 ≤ tm, ti +3 ≤ tn . Task t can't start until tasks m and n are finished. Therefore: tm +1≤tt, tn + 2 ≤ tt, • Task s can't start until tasks o and t are finished. Therefore: to +3≤ts, tt + 3 ≤ ts 4-24
Transcribed Image Text:Example: building a house A small sample: Let ti, to, tm, tn, tt, to be start times of the associated tasks. Now use the graph to write the dependency constraints: 0,3 FINISH $,2 CARPENTRY Source: HBR 1963 43 FINISH FLOORING m,1 VARNISH FLOORS KITCHEN FIXTURES n,2 13 PAINT FINISH PLUMBING • Tasks o, m, and n can't start until task / is finished, and task / takes 3 days to finish. So the constraints are: ti +3≤ to, t₁ + 3 ≤ tm, ti +3 ≤ tn . Task t can't start until tasks m and n are finished. Therefore: tm +1≤tt, tn + 2 ≤ tt, • Task s can't start until tasks o and t are finished. Therefore: to +3≤ts, tt + 3 ≤ ts 4-24
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