Engineering 2502

PROJECT MANAGEMENT

© Dr. Peter N. Smith. All rights reserved.

Step 3 - Create the Earliest Start Table (3 columns)

Column 1: a list of events in order,

Column 2: a list of activities which immediately follow each event,

Column 3: determine Earliest Start (ES) for each activity

Table 3: Earliest Start

Event	Activities	Earliest Start
1	A	ES₁ = 0	by convention
2	B, C	ES₂ = ES₁ + 6 = 6
3	D,E	ES₃ = ES₂ + 8 = 14
		ES₃ = ES₂ + 13 = 19
4	F	ES₄ = ES₃ + 10 = 29	use largest ES₃
		ES₄ = ES₅ + 0 = 27
5	G, H, I, Y	ES₅ = ES₃ + 8 = 27	use largest ES₃
6	J, K	ES₆ = ES₅ + 4 = 31
		ES₆ = ES₅ + 3 = 30
7	L, M	ES₇ = ES₄ + 3 = 30	use largest ES₄
		ES₇ = ES₅ + 5 = 32
		ES₇ = ES₆ + 8 = 39	use largest ES₆
8	N	ES₈ = ES₇ + 6 = 45	use largest ES₇
9	O, P	ES₉ = ES₈ + 8 = 53
10	Q	ES₁₀ = ES₆ + 4 = 35	use largest ES₆
		ES₁₀ = ES₇ + 2 = 41	use largest ES₇
		ES₁₀ = ES₉ + 2 = 55
		ES₁₀ = ES₉ + 3 = 56
11		ES₁₁ = ES₁₀ + 4 = 60	use largest ES₁₀

Step 4 - Create the Latest Start Table (3 columns)

Column 1: a list of events in reverse order, denote as event n -> event n-i

Column 2: a list each activity associated with column 1,

Column 3: determine the Latest Start for each activity

Table 4: Latest Start

Event	Activity	Latest Start
11	-	LS₁₁ = 60	same as ES₁₁
11 -> 10	Q	LS₁₀ = LS₁₁ - 4 = 56
10 -> 9	O	LS₉ = LS₁₀ - 3 = 53
10 -> 9	P	LS₉ = LS₁₀ - 2 = 54
10 -> 7	M	LS₇ = LS₁₀ - 2 = 53
10 -> 6	K	LS₆ = LS₁₀ - 4 = 51
9 -> 8	N	LS₈ = LS₉- 8 = 45	use smallest LS₉
8 -> 7	L	LS₇ = LS₈ - 6 = 39
7 -> 6	J	LS₆ = LS₇ - 8 = 31	use smallest LS₇
7 -> 5	G	LS₅ = LS₇ - 5 = 34	use smallest LS₇
7 -> 4	F	LS₄ = LS₇ - 3 = 36	use smallest LS₇
6 -> 5	I	LS₅ = LS₆ - 3 = 28	use smallest LS₆
6 -> 5	H	LS₅ = LS₆ - 4 = 27	use smallest LS₆
5 -> 3	E	LS₃ = LS₅ - 8 = 19	use smallest LS₅
4 -> 5	Y	LS₅ = LS₄ - 0 = 36
4 -> 3	D	LS₃ = LS₄ - 10 = 26
3 -> 2	C	LS₂ = LS₃ - 13 = 6	use smallest LS₃
3 -> 2	B	LS₂ = LS₃ - 8 = 11	use smallest LS₃
2 -> 1	A	LS₁ = LS₂ - 6 = 0	use smallest LS₂

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