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PROJECT.ILP
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1990-12-05
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3KB
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99 lines
* PROJECT.ILP
INTEGER:9
VAR: 13
LTE: 17
GTE: 4
EQU: 1
FUNCTION: MIN:
25x1 +20x2 +18x3 +30x4 +25x5 +15x6 +35x7 +40x8 +28x9 +30x10 +25x11 +50x12 + 0Y
BX1 x1 <= 1
BX2 x2 <= 1
BX3 x3 <= 1
BX4 x4 <= 1
BX5 x5 <= 1
BX6 x6 <= 1
BX7 x7 <= 1
BX8 x8 <= 1
BX9 x9 <= 1
BX10 x10 <= 1
BX11 x11 <= 1
BX12 x12 <= 1
ENGR x3 + x9 + x10 >= 1
CHEM x2 + x7 + x8 >= 1
ACCFIN x1 + x4 + x5 + x11 >= 2
PCONF1 x2 + x11 <= 1
PCONF2 x3 + x4 <= 1
PROTE x4 - x6 >= 0
MGSYS1 x4 + x5 + x7 - 1000Y <= 0
MGSYS2 x2 + x6 + 1000Y <= 1000
YCON Y <= 1
TESIZE x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 = 6
end:
-------------------------- PROBLEM DESCRIPTION --------------------------------
OBJECTIVE: Select team members from existing employees to assign to a new,
long-term project. In doing this, the cost of their replacements in their
current positions is to minimized, subject to the requirements of the team.
REPLACEMENT MNGMNT
PERSON SKILL COST SYSTEM COMMENTS
------ ------ ------- -------- --------------------------------
1. Abe ACCFIN $25,000 2
2. Brad CHEM 20,000 4 conflict w/Kevin (11)
3. Chuck ENGR 18,000 3 conflict w/Dan (4)
4. Dan ACCFIN 30,000 1 mentor to Fletch (6),
conflict w/Chuck (3)
5. Eva ACCFIN 25,000 1
6. Fletch none 15,000 4 protege of Dan (4)
7. George CHEM 35,000 1
8. Heldon CHEM 40,000 2
9. Inge ENGR 28,000 3
10. Jerry ENGR 30,000 3
11. Kevin ACCFIN 25,000 2 conflict w/Brad (2)
12. Larry none 50,000 2
Skill codes:
ACCFIN = Accounting, Finance
CHEM = Chemist
ENGR = Engineer
Management Systems codes:
1 = exploitive-authoritative
2 = benevolent-authoritative
3 = consultative
4 = participatory group
Constraint definition:
BX1 - BX12 There can be a maximum of one employee at any one place
ENGR must be at least one engineer
CHEM must be at least one chemist
ACCFIN must be at least two with accounting/finance
PCONF1 Brad and Kevin cannot work together
PCONF2 Chuck and Dan cannot work together
PROTE Fletch is a protege of Dan so, if Fletch, then Dan
( x6 <= x4 )
MGSYS1 \__ The two extreme management systems are antagonistic to each
MGSYS2 / other, therefore, they cannot be mixed
( x4 + x5 + x7 - 1000Y <= 0 )
( x2 + x6 - 1000*(1-Y) <= 0 )
YCON a binary variable (Y) that will 'either-or' the MGSYS1/MGSYS2
TESIZE The size of the project team, 6