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CPM by ewghwehws

VIEWS: 4 PAGES: 15

									CPM Planning:
Critical Path Method
CPM Activity
                      TF/FF
                 ES    Code
                              EF   + ; Larger

                       Name



                 LS Dur       LF
   - ; Smaller



 Forward Pass: EF = ES + Dur; Larger
 Backward Pass: LS = LF – Dur; Smaller
 TF/FF: Total Float / Free Float
Float - Example
Critical Path = Minimum Total Float



                 C                    G

                 8                    10
                                E          J

                               19          8


  A              C                    H        L

  0              4                    3        0

                                F          K

                                4          2

                 D                    I

                 10                   7
Float - Example
Forward Path: EF = ES + Duration


             6        10                  12        16

                 C                             G
                           10        12                  22        28
                 4                             4
                                E                             J

                                2                             6
0       6    6        9                   12        22                  47       52

    A            C                             H                             L

    6            3         16        28        10        33        47        5

                                F                             K

                                12                            14
             6        16                  28        33

                 D                             I

                 10                            5
Float - Example
Backward Path:


            6         10                  12        16

                 C                             G
                           10        12                  22        28
            12   4    16                  29   4    33
                                E                             J

                           21   2    23                  41   6    47
0       6   6         9                   12        22                  47       52

    A            C                             H                             L

0   6   6   13   3    16   16        28   23   10   33   33        47   47   5   52

                                F                             K

                           16   12   28                  33   14   47
            6         16                  28        33

                 D                             I

            6    10   16                  28   5    33
Float - Example
Total Float: ES – LS or EF - LF

                   6/                             17/
              6         10                   12         16
                                  11/                             19/
                    C                             G
                             10         12                   22         28
              12    4   16                   29   4     33
                                   E                               J

    0/             7/        21    2    23        11/        41    6    47        0/
0        6    6         9                    12         22                   47        52

     A              C             0/              H               0/               L

0    6   6    13    3   16   16         28   23   10    33   33         47   47    5   52

                                   F                               K
                   0/                             0/
                             16   12    28                   33   14    47
              6         16                   28         33

                    D                              I

              6    10   16                   28   5     33
Float - Example
Free Float: FFi = min [ESi+1 – EFi]                                                TF/FF

                    6/0                              17/6
               6          10                    12          16
                                    11/0                              19/19
                     C                                G
                               10          12                    22           28
               12    4    16                    29    4     33
                                      E                                 J

    0/0             7/7        21     2    23
                                                  11/0
                                                 11/11           41     6     47        0/0
0         6    6          9                     12          22                     47         52

     A               C               0/0              H                0/0               L

0    6    6    13    3    16   16          28   23    10    33   33           47   47    5    52

                                      F                                 K
                    0/0                               0/0
                               16    12    28                    33     14    47
               6          16                    28          33

                     D                                 I

               6    10    16                    28    5     33
Dummy Activity - Example

                 8        18                  37       45

                     C                             H
     0       8                 27        37
                     10                            8
         A                          F
         8                          10
                 8        27                  37       44

                     D                             I
     0       4                 27        30
                     19                            7
         B                          G
         4       4        8         3         37       39

                     E                             J
                     4                             2
Dummy Activity - Example

                            8         18                  37       45

                                 C                             H
                0       8                  27        37
                            17   10   27                  37   8   45
                    A                           F
                0   8   8                  27   10   37
0        0                  8         27                  37       44   45       45

    Start                        D                             I         Finish
0    0      0   0       4                  27        30                 45   0   45
                            8    19   27                  38   7   45
                    B                           G
                4   4   8   4         8    34   3    37   37       39

                                 E                             J
                            30   4    34                  43   2   45
Lag Relationship – Example

                 -2
                      D
                                         H
                      6
           B                             4
      -4
           12
                               G
                               10
  A                   E
  4                   7
                -5
      3    C              12
                                    J
           5
                                    11

                      F
                      8
Lag Relationship – Example

                                               12/3                                              9/0
                                          10          16
                                     -2                     Redundant Relation              29         33
                         0/0
                                                D
                   0           12                                    9/0                          H
                                          22    6      28
                                                                19         29               38    4    42
              -4         B
    0/0                                                                                                          0/0
                                               0/0                   G
                   0     12    12
0         4                               12          19                                                    42         42
                                                                28   10    38
    A                   5/0                     E                                                            Finish
                   7           12
                                                                                     0/0
0    4    4                               12    7      19                                                   42    0    42
                                    -5                                          31         42
              3          C                                     12
                                               11/11                                  J
                   12    5     17
                                          12          20                        31   11    42

                                                F
                                          23    8      31
Other Relationships – Ex. 1


                             -1
                 Survey                                               Rail
                                                         Pave
                         4
                                       Foundation                         20
                                                          10
                                           20                              -5
Prepare Site                                        12                          Marking
                -3
     9                            12                            7                 10



               Mobilize                  Columns         Deck       Signals
                                             10           20          5
                     4
Other Relationships – Ex. 1

                            0/0                                                                              0/0
                                                                                       0/0
                   5                9                    0/0                                           42           62
                                                                                 42          52
                                          -1        8             28
                    Survey                                                                                  Rail
     0/0                                                                              Pave                                         0/0
                   5        4       9
                                                    Foundation                                         42       20 62
 0         9                                                                     42    10    52                               57         67
                                                    8        20     28                                                   -5
Prepare Site                                                                12                                                Marking
                   -3
 0    9    9                                   12            0/0                      0/0         7         3/3               57   10    67
                        2/2
                                                        20          30           30          50       49           54
               2                6

               Mobilize                                 Columns                       Deck            Signals
                                                        20     10      30        30    20    50       52    5      57
               4        4       8


                                           New Relation
                                        instead of Dummy
                                              Finish
Other Relationships – Ex. 2

          4         B
                         10
                    12




              -10                 E
      A
                                  5
      4
                                           G
                C                          4
                12

                                      -4
                              F
                              7
      2
                    D
                    6
Other Relationships – Ex. 2
                                 0/0
                            34             46

              4                   B
                                                 10
                            34    12       46
         0/0                                              8/0
                                                     39            44
    30            34
                        -10                                   E                       0/0
         A
                         30/22                                                   46         50
                                                     47       5        52
    30    4       34
                       12             24
                                                                                      G
                             C                                                   46   4     50
                                                      8/4
                       42    12        54
                                                39            46
                                                                            -4
                                 16/8                     F
                            32             38   47        7       54
          2
                                  D
                            48    6        54

								
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