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How to Choose the Right Projects to
Meet Your Objectives and Resources?
  (Advanced approach to project selection)

                                  http://makeitrational.com
How to choose between projects?

 Project       Cost             Project        Cost
Project 1     1 700 000        Project 1      1 700 000
Project 2     2 000 000        Project 2      2 000 000
Project 3     1 500 000        Project 3      1 500 000
Project 4       600 000        Project 4        600 000
Project 5     2 500 000        Project 5      2 500 000
Project 6     3 500 000        Project 6      3 500 000
Total        11 800 000        Total          7 700 000
      Over budget                      In budget
How to choose between projects?
1.   Prioritize projects against your objectives.
2.   Create spreadsheet.
3.   Install and start Solver.
4.   Set up Solver parameters.
5.   Run Solver and see results.
Prioritize projects (1/2)
• The better project meets your objectives the higher priority it has.
• You can learn how to prioritize projects here:
  http://makeitrational.com/prioritization
• Projects with higher priority have priority access to portfolio.
• The goal is to find portfolio that meets your budget with the highest
  total priority of included projects.
Prioritize projects (2/2)
    Project        Cost        Priority
Project 1          1 700 000      20
Project 2          2 000 000      10
Project 3          1 500 000      25
Project 4            600 000       5
Project 5          2 500 000      30
Project 6          3 500 000      10
Total             11 800 000     100
How to choose between projects?
1.   Prioritize projects against your objectives.
2.   Create spreadsheet.
3.   Install and start Solver.
4.   Set up Solver parameters.
5.   Run Solver and see results.
Spreadsheet
                         Priority             Funding
DV      Project
                  Assessed Allocated    Needed Allocated
0    Project 1       20           0     1 700 000     0
0    Project 2       10           0     2 000 000     0
0    Project 3       25           0     1 500 000     0
0    Project 4        5           0       600 000     0
0    Project 5       30           0     2 500 000     0
0    Project 6       10           0     3 500 000     0
-    Total          100           0    11 800 000     0
Spreadsheet
                              Priority                  Funding
DV      Project
                      Assessed Allocated          Needed Allocated
0    Project 1           20                       1 700 000
                  Decision variable 0 (DV). Determines          0
0    Project 2    whether the project0 is included in 000
                         10                       2 000 the     0
                  portfolio (DV = 1) or not (DV = 0). At the
0    Project 3           25               0       1 500 000
                  starting point the portfolio is empty (DV     0
0    Project 4            5
                  for each project is 0). 0         600 000     0
0    Project 5           30               0       2 500 000     0
0    Project 6           10               0       3 500 000     0
-    Total               100              0      11 800 000     0
Spreadsheet
                         Priority                    Funding
DV      Project
                  Assessed Allocated          Needed Allocated
0    Project 1       20            0          1 700 000      0
                              Assessed priority. Project priority
0    Project 2       10       established at 000 000first step
                                   0          2 the          0
0    Project 3       25            0          1 500 000
                              (projects prioritization).     0
0    Project 4        5            0             600 000     0
0    Project 5       30            0          2 500 000      0
0    Project 6       10            0          3 500 000      0
-    Total          100            0        11 800 000       0
Spreadsheet
                                Priority             Funding
DV       Project
                       Assessed Allocated      Needed Allocated
 0 Project 1               20            0     1 700 000     0
 0 Project 2               10            0     2 000 000     0
 0 Project 3               25            0     1 500 000     0
Allocated priority = DV · Assessed priority
 0 Project 4                5            0       600 000     0
Priority included in portfolio.
 0 Project 5               30            0     2 500 000     0
 0 Project 6               10            0     3 500 000     0
 - Total                  100            0    11 800 000     0
Spreadsheet
                                Priority            Funding
DV      Project
                      Assessed Allocated      Needed Allocated
 0 Project 1              20             0    1 700 000     0
 0 Project 2              10             0    2 000 000     0
 0 Project 3              25             0    1 500 000     0
  Needed funding. Resources (in this case
 0 Project 4               5 project. 0
  funding) needed to start this                 600 000     0
 0 Project 5              30             0    2 500 000     0
 0 Project 6              10             0    3 500 000     0
 - Total                 100             0   11 800 000     0
Spreadsheet
                             Priority                Funding
DV       Project
                     Assessed Allocated        Needed Allocated
 0 Project 1            20             0       1 700 000     0
 0 Project 2            10             0       2 000 000     0
 0 Project 3            25             0       1 500 000     0
  Allocated funding = DV · Needed funding
 0 Project (in this case funding) allocated
  Resources 4            5             0         600 000     0
 0 project. 5
  to Project            30             0       2 500 000     0
 0 Project 6            10             0       3 500 000     0
 - Total                100            0      11 800 000     0
Spreadsheet
                         Priority                   Funding
DV      Project
                  Assessed Allocated         Needed Allocated
0    Project 1       20 Total assessed priority. If we could start all
                                    0        1 700 000        0
                          of the projects we would achieve 100% of
0    Project 2       10             0        2 000 000        0
                          priorities.
0    Project 3       25             0        1 500 000        0
0    Project 4        5             0          600 000        0
0    Project 5       30             0        2 500 000        0
0    Project 6       10             0        3 500 000        0
-    Total          100             0       11 800 000        0
Spreadsheet
                         Priority                    Funding
DV      Project
                  Assessed Allocated           Needed Allocated
0    Project 1       20 Total allocated priority. We can’t start all
                                    0          1 700 000      0
                          of the projects (due to limited resources).
0    Project 2       10             0          2 000 000      0
                          This is the value we want to maximize.
0    Project 3       25             0          1 500 000      0
0    Project 4        5             0            600 000      0
0    Project 5       30             0          2 500 000      0
0    Project 6       10             0          3 500 000      0
-    Total          100             0        11 800 000       0
Spreadsheet
                           Priority                  Funding
DV      Project
                    Assessed Allocated         Needed Allocated
 0 Total needed funding. Resources (in this
     Project 1         20            0         1 700 000     0
 0 case funding) needed10 start all of the
     Project 2          to           0         2 000 000     0
 0 projects. 3
     Project           25            0         1 500 000     0
 0 Project 4            5            0           600 000     0
 0 Project 5           30            0         2 500 000     0
 0 Project 6           10            0         3 500 000     0
 - Total              100            0        11 800 000     0
Spreadsheet
                                Priority                Funding
DV      Project
                       Assessed Allocated         Needed Allocated
   Total allocated funding. Resources (in this
 0 case funding) allocated to all of the
     Project 1             20            0        1 700 000     0
 0 projects in portfolio. This value must0
     Project 2             10             meet    2 000 000     0
 0 our constraints (e.g. budget).
     Project 3             25            0        1 500 000     0
 0 Project 4                5            0          600 000     0
 0 Project 5               30            0        2 500 000     0
 0 Project 6               10            0        3 500 000     0
 - Total                  100            0       11 800 000     0
Download spreadsheet
http://makeitrational.com/files/download/resource-allocation/basic.xls
How to choose between projects?
1.   Prioritize projects against your objectives.
2.   Create spreadsheet.
3.   Install and start Solver.
4.   Set up Solver parameters.
5.   Run Solver and see results.
Install and start Solver
Solver is an optimization add-in for Excel. You can learn how to
install and start it here: http://www.wikihow.com/Use-Solver-in-
Microsoft-Excel
How to choose between projects?
1.   Prioritize projects against your objectives.
2.   Create spreadsheet.
3.   Install and start Solver.
4.   Set up Solver parameters.
5.   Run Solver and see results.
Solver parameters
                         Priority                   Funding
DV      Project
                  Assessed Allocated          Needed Allocated
0    Project 1       20           0           1 700 000     0
0    Project 2       10 Maximize total allocated priority
                                  0           2 000 000     0
0    Project 3       25           0           1 500 000     0
0    Project 4        5           0             600 000     0
0    Project 5       30           0           2 500 000     0
0    Project 6       10           0           3 500 000     0
-    Total          100           0         11 800 000      0
Solver parameters
                             Priority            Funding
DV      Project
                     Assessed Allocated    Needed Allocated
0    Project 1          20
        By changing DV values         0    1 700 000     0
0    Project 2          10            0    2 000 000     0
0    Project 3          25            0    1 500 000     0
0    Project 4           5            0      600 000     0
0    Project 5          30            0    2 500 000     0
0    Project 6          10            0    3 500 000     0
-    Total              100           0   11 800 000     0
Solver parameters
                              Priority                   Funding
DV      Project
                      Assessed Allocated           Needed Allocated
0    Project 1           20
           Restrict DV values to 1 0    (when      1 700 000     0
0          project is chosen to portfolio) or 0
     Project 2           10             0          2 000 000     0
           (when project is rejected)
0    Project 3           25             0          1 500 000     0
0    Project 4            5             0            600 000     0
0    Project 5           30             0          2 500 000     0
0    Project 6           10             0          3 500 000     0
-    Total               100            0         11 800 000     0
Solver parameters
                          Priority                 Funding
DV      Project
                   Assessed Allocated        Needed Allocated
0    Project 1        20             0       1 700 000     0
                  Keep total allocated funding in
0    Project 2        10             0
                  budget e.g. 8 000 000      2 000 000     0
0    Project 3        25             0       1 500 000     0
0    Project 4         5             0         600 000     0
0    Project 5        30             0       2 500 000     0
0    Project 6        10             0       3 500 000     0
-    Total           100             0      11 800 000     0
How to choose projects portfolio?
1.   Prioritize projects against your objectives.
2.   Create spreadsheet.
3.   Install and start Solver.
4.   Set up Solver parameters.
5.   Run Solver and see results.
Results
                             Priority             Funding
DV      Project
                      Assessed Allocated    Needed Allocated
1    Project 1            20          20    1 700 000 1 700 000
      Projects with DV = 1 are
1    Project 2 in portfolio
      included            10          10    2 000 000 2 000 000
1    Project 3            25          25    1 500 000 1 500 000
0    Project 4             5           0      600 000     0
1    Project 5            30          30    2 500 000 2 500 000
0    Project 6            10           0    3 500 000     0
-    Total               100          85   11 800 000 7 700 000
Results
                         Priority                  Funding
DV      Project
                  Assessed Allocated         Needed Allocated
1    Project 1       20            20        1 700 000 1 700 000
                                 Portfolio meets the budget
1    Project 2       10          (810 000) 2 000 000 2 000 000
                                    000
1    Project 3       25            25        1 500 000 1 500 000
0    Project 4        5             0          600 000      0
1    Project 5       30            30        2 500 000 2 500 000
0    Project 6       10             0        3 500 000      0
-    Total          100            85       11 800 000 7 700 000
Results
                         Priority                  Funding
DV      Project
                  Assessed Allocated         Needed Allocated
                            Solver found the most valuable
1    Project 1       20                      1 700 000 1
                            portfolio that meets the budget700 000
                                  20
1    Project 2       10           10         2 000 000 2 000 000
1    Project 3       25           25         1 500 000 1 500 000
0    Project 4        5            0           600 000       0
1    Project 5       30           30         2 500 000 2 500 000
0    Project 6       10            0         3 500 000       0
-    Total          100           85        11 800 000 7 700 000
How to take into account multiple types of resources?
                      Priority         Funding          Consultants
DV    Project
                 Assessed Alloc.   Needed    Allocated Needed Alloc.
 0   Project 1     20        0      1 700 000   0        5       0
 0   Project 2     10        0      2 000 000   0        7       0
 0   Project 3     25        0      1 500 000   0        5       0
 0   Project 4      5        0       600 000    0        2       0
 0   Project 5     30        0      2 500 000   0        8       0
 0   Project 6     10        0      3 500 000   0        7       0
 -   Total         100       0     11 800 000   0        34      0
How to take into account multiple types of resources?
                      Priority         Funding          Consultants
DV    Project
                 Assessed Alloc.   Needed    Allocated Needed Alloc.
 1   Project 1     20       20      1 700 000 1 700 000   5      5
 0   Project 2     10        0      2 000 000        0    7      0
 1   Project 3     25       25      1 500 000 1 500 000   5      5
 0   Project 4      5        0       600 000         0    2      0
 1   Project 5     30       30      2 500 000 2 500 000   8      8
 0   Project 6     10        0      3 500 000        0    7      0
 -   Total         100      75     11 800 000 5 700 000   34    18
How to model dependencies between projects?
• Exactly 1 from the group
• At most 1 from the group
• At least 1 from the group
• Contingent
• Mutual contingent
• Mix and match
Exactly 1 from the group
• There is a group of projects from which we must choose exactly
  one (not 0, not 2, not more).
• In an empty cell add a formula that sums DV values of projects from
  the group.
• Add a constraint on that cell: value = 1
Maximum 1 from the group
• There is a group of projects from which we can choose at most one.
• In an empty cell add a formula that sums DV values of projects from
  the group.
• Add a constraint on that cell: value <= 1
Minimum 1 from the group
• There is a group of projects from which we must choose at least one.
• In an empty cell add a formula that sums DV values of projects from
  the group.
• Add a constraint on that cell: value >= 1
Contingent
• If A then B (but B is independent of A).
• E.g. you can renovate building (dependent project) only if you buy it
  but you can buy a building (independent project) without renovation.
• In an empty cell add a formula:
  = DV of independent project - DV of dependent project
• Add a constraint on that cell: value >= 0
Mutual contingent
• 2 of the projects must be chosen together (both or none)
• In an empty cell add a formula that subtracts DV values of both
  projects.
• Add a constraint on that cell: value = 0
Mutual contingent
• There is a group of 2 (or more) projects that must be chosen together
  (all of them or none).
• Merge projects into 1 with added priority and resources.
Mix and match
Use these basic dependencies to create complex scenarios.

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How to choose the right projects to meet your objectives and resources?

  • 1. How to Choose the Right Projects to Meet Your Objectives and Resources? (Advanced approach to project selection) http://makeitrational.com
  • 2. How to choose between projects? Project Cost Project Cost Project 1 1 700 000 Project 1 1 700 000 Project 2 2 000 000 Project 2 2 000 000 Project 3 1 500 000 Project 3 1 500 000 Project 4 600 000 Project 4 600 000 Project 5 2 500 000 Project 5 2 500 000 Project 6 3 500 000 Project 6 3 500 000 Total 11 800 000 Total 7 700 000 Over budget In budget
  • 3. How to choose between projects? 1. Prioritize projects against your objectives. 2. Create spreadsheet. 3. Install and start Solver. 4. Set up Solver parameters. 5. Run Solver and see results.
  • 4. Prioritize projects (1/2) • The better project meets your objectives the higher priority it has. • You can learn how to prioritize projects here: http://makeitrational.com/prioritization • Projects with higher priority have priority access to portfolio. • The goal is to find portfolio that meets your budget with the highest total priority of included projects.
  • 5. Prioritize projects (2/2) Project Cost Priority Project 1 1 700 000 20 Project 2 2 000 000 10 Project 3 1 500 000 25 Project 4 600 000 5 Project 5 2 500 000 30 Project 6 3 500 000 10 Total 11 800 000 100
  • 6. How to choose between projects? 1. Prioritize projects against your objectives. 2. Create spreadsheet. 3. Install and start Solver. 4. Set up Solver parameters. 5. Run Solver and see results.
  • 7. Spreadsheet Priority Funding DV Project Assessed Allocated Needed Allocated 0 Project 1 20 0 1 700 000 0 0 Project 2 10 0 2 000 000 0 0 Project 3 25 0 1 500 000 0 0 Project 4 5 0 600 000 0 0 Project 5 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 8. Spreadsheet Priority Funding DV Project Assessed Allocated Needed Allocated 0 Project 1 20 1 700 000 Decision variable 0 (DV). Determines 0 0 Project 2 whether the project0 is included in 000 10 2 000 the 0 portfolio (DV = 1) or not (DV = 0). At the 0 Project 3 25 0 1 500 000 starting point the portfolio is empty (DV 0 0 Project 4 5 for each project is 0). 0 600 000 0 0 Project 5 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 9. Spreadsheet Priority Funding DV Project Assessed Allocated Needed Allocated 0 Project 1 20 0 1 700 000 0 Assessed priority. Project priority 0 Project 2 10 established at 000 000first step 0 2 the 0 0 Project 3 25 0 1 500 000 (projects prioritization). 0 0 Project 4 5 0 600 000 0 0 Project 5 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 10. Spreadsheet Priority Funding DV Project Assessed Allocated Needed Allocated 0 Project 1 20 0 1 700 000 0 0 Project 2 10 0 2 000 000 0 0 Project 3 25 0 1 500 000 0 Allocated priority = DV · Assessed priority 0 Project 4 5 0 600 000 0 Priority included in portfolio. 0 Project 5 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 11. Spreadsheet Priority Funding DV Project Assessed Allocated Needed Allocated 0 Project 1 20 0 1 700 000 0 0 Project 2 10 0 2 000 000 0 0 Project 3 25 0 1 500 000 0 Needed funding. Resources (in this case 0 Project 4 5 project. 0 funding) needed to start this 600 000 0 0 Project 5 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 12. Spreadsheet Priority Funding DV Project Assessed Allocated Needed Allocated 0 Project 1 20 0 1 700 000 0 0 Project 2 10 0 2 000 000 0 0 Project 3 25 0 1 500 000 0 Allocated funding = DV · Needed funding 0 Project (in this case funding) allocated Resources 4 5 0 600 000 0 0 project. 5 to Project 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 13. Spreadsheet Priority Funding DV Project Assessed Allocated Needed Allocated 0 Project 1 20 Total assessed priority. If we could start all 0 1 700 000 0 of the projects we would achieve 100% of 0 Project 2 10 0 2 000 000 0 priorities. 0 Project 3 25 0 1 500 000 0 0 Project 4 5 0 600 000 0 0 Project 5 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 14. Spreadsheet Priority Funding DV Project Assessed Allocated Needed Allocated 0 Project 1 20 Total allocated priority. We can’t start all 0 1 700 000 0 of the projects (due to limited resources). 0 Project 2 10 0 2 000 000 0 This is the value we want to maximize. 0 Project 3 25 0 1 500 000 0 0 Project 4 5 0 600 000 0 0 Project 5 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 15. Spreadsheet Priority Funding DV Project Assessed Allocated Needed Allocated 0 Total needed funding. Resources (in this Project 1 20 0 1 700 000 0 0 case funding) needed10 start all of the Project 2 to 0 2 000 000 0 0 projects. 3 Project 25 0 1 500 000 0 0 Project 4 5 0 600 000 0 0 Project 5 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 16. Spreadsheet Priority Funding DV Project Assessed Allocated Needed Allocated Total allocated funding. Resources (in this 0 case funding) allocated to all of the Project 1 20 0 1 700 000 0 0 projects in portfolio. This value must0 Project 2 10 meet 2 000 000 0 0 our constraints (e.g. budget). Project 3 25 0 1 500 000 0 0 Project 4 5 0 600 000 0 0 Project 5 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 18. How to choose between projects? 1. Prioritize projects against your objectives. 2. Create spreadsheet. 3. Install and start Solver. 4. Set up Solver parameters. 5. Run Solver and see results.
  • 19. Install and start Solver Solver is an optimization add-in for Excel. You can learn how to install and start it here: http://www.wikihow.com/Use-Solver-in- Microsoft-Excel
  • 20.
  • 21. How to choose between projects? 1. Prioritize projects against your objectives. 2. Create spreadsheet. 3. Install and start Solver. 4. Set up Solver parameters. 5. Run Solver and see results.
  • 22. Solver parameters Priority Funding DV Project Assessed Allocated Needed Allocated 0 Project 1 20 0 1 700 000 0 0 Project 2 10 Maximize total allocated priority 0 2 000 000 0 0 Project 3 25 0 1 500 000 0 0 Project 4 5 0 600 000 0 0 Project 5 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 23.
  • 24. Solver parameters Priority Funding DV Project Assessed Allocated Needed Allocated 0 Project 1 20 By changing DV values 0 1 700 000 0 0 Project 2 10 0 2 000 000 0 0 Project 3 25 0 1 500 000 0 0 Project 4 5 0 600 000 0 0 Project 5 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 25.
  • 26. Solver parameters Priority Funding DV Project Assessed Allocated Needed Allocated 0 Project 1 20 Restrict DV values to 1 0 (when 1 700 000 0 0 project is chosen to portfolio) or 0 Project 2 10 0 2 000 000 0 (when project is rejected) 0 Project 3 25 0 1 500 000 0 0 Project 4 5 0 600 000 0 0 Project 5 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 27.
  • 28. Solver parameters Priority Funding DV Project Assessed Allocated Needed Allocated 0 Project 1 20 0 1 700 000 0 Keep total allocated funding in 0 Project 2 10 0 budget e.g. 8 000 000 2 000 000 0 0 Project 3 25 0 1 500 000 0 0 Project 4 5 0 600 000 0 0 Project 5 30 0 2 500 000 0 0 Project 6 10 0 3 500 000 0 - Total 100 0 11 800 000 0
  • 29.
  • 30. How to choose projects portfolio? 1. Prioritize projects against your objectives. 2. Create spreadsheet. 3. Install and start Solver. 4. Set up Solver parameters. 5. Run Solver and see results.
  • 31.
  • 32. Results Priority Funding DV Project Assessed Allocated Needed Allocated 1 Project 1 20 20 1 700 000 1 700 000 Projects with DV = 1 are 1 Project 2 in portfolio included 10 10 2 000 000 2 000 000 1 Project 3 25 25 1 500 000 1 500 000 0 Project 4 5 0 600 000 0 1 Project 5 30 30 2 500 000 2 500 000 0 Project 6 10 0 3 500 000 0 - Total 100 85 11 800 000 7 700 000
  • 33. Results Priority Funding DV Project Assessed Allocated Needed Allocated 1 Project 1 20 20 1 700 000 1 700 000 Portfolio meets the budget 1 Project 2 10 (810 000) 2 000 000 2 000 000 000 1 Project 3 25 25 1 500 000 1 500 000 0 Project 4 5 0 600 000 0 1 Project 5 30 30 2 500 000 2 500 000 0 Project 6 10 0 3 500 000 0 - Total 100 85 11 800 000 7 700 000
  • 34. Results Priority Funding DV Project Assessed Allocated Needed Allocated Solver found the most valuable 1 Project 1 20 1 700 000 1 portfolio that meets the budget700 000 20 1 Project 2 10 10 2 000 000 2 000 000 1 Project 3 25 25 1 500 000 1 500 000 0 Project 4 5 0 600 000 0 1 Project 5 30 30 2 500 000 2 500 000 0 Project 6 10 0 3 500 000 0 - Total 100 85 11 800 000 7 700 000
  • 35. How to take into account multiple types of resources? Priority Funding Consultants DV Project Assessed Alloc. Needed Allocated Needed Alloc. 0 Project 1 20 0 1 700 000 0 5 0 0 Project 2 10 0 2 000 000 0 7 0 0 Project 3 25 0 1 500 000 0 5 0 0 Project 4 5 0 600 000 0 2 0 0 Project 5 30 0 2 500 000 0 8 0 0 Project 6 10 0 3 500 000 0 7 0 - Total 100 0 11 800 000 0 34 0
  • 36.
  • 37. How to take into account multiple types of resources? Priority Funding Consultants DV Project Assessed Alloc. Needed Allocated Needed Alloc. 1 Project 1 20 20 1 700 000 1 700 000 5 5 0 Project 2 10 0 2 000 000 0 7 0 1 Project 3 25 25 1 500 000 1 500 000 5 5 0 Project 4 5 0 600 000 0 2 0 1 Project 5 30 30 2 500 000 2 500 000 8 8 0 Project 6 10 0 3 500 000 0 7 0 - Total 100 75 11 800 000 5 700 000 34 18
  • 38. How to model dependencies between projects? • Exactly 1 from the group • At most 1 from the group • At least 1 from the group • Contingent • Mutual contingent • Mix and match
  • 39. Exactly 1 from the group • There is a group of projects from which we must choose exactly one (not 0, not 2, not more). • In an empty cell add a formula that sums DV values of projects from the group. • Add a constraint on that cell: value = 1
  • 40. Maximum 1 from the group • There is a group of projects from which we can choose at most one. • In an empty cell add a formula that sums DV values of projects from the group. • Add a constraint on that cell: value <= 1
  • 41. Minimum 1 from the group • There is a group of projects from which we must choose at least one. • In an empty cell add a formula that sums DV values of projects from the group. • Add a constraint on that cell: value >= 1
  • 42. Contingent • If A then B (but B is independent of A). • E.g. you can renovate building (dependent project) only if you buy it but you can buy a building (independent project) without renovation. • In an empty cell add a formula: = DV of independent project - DV of dependent project • Add a constraint on that cell: value >= 0
  • 43. Mutual contingent • 2 of the projects must be chosen together (both or none) • In an empty cell add a formula that subtracts DV values of both projects. • Add a constraint on that cell: value = 0
  • 44. Mutual contingent • There is a group of 2 (or more) projects that must be chosen together (all of them or none). • Merge projects into 1 with added priority and resources.
  • 45. Mix and match Use these basic dependencies to create complex scenarios.