Decision Cpm a Method for Simultaneous Planning Scheduling And Control of Proj

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Decision Cpm a Method for Simultaneous Planning Scheduling And Control of Proj
Wallace B S Crowston
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•13- PROJECT GRAPH T - DECISIONS S^^, S^^ © 39 v^42 1 /• — Nl ^0 , 51 ASI 7 1 / S, ^\ 1 100, 100 FIGURE 4 •14- It is relatively simple matter to solve very small decision project graphs by making a complete listing of alternatives. Experimental results of this approach will be discussed in Section 5. It is clear however that the number of possible combinations rises rapidly. For example the decision project graph of Figure 5 has a total of 864 possible decision patterns. It has therefore been
... necessary to develop other techniques to handle large problems.
-15- 4. Decision Graph Solution by Integer Programming Consider a job set (1) and its associated decision variables with constraints given by (2), (3) and (4). Besides these, there may be any of the other constraints discussed in Section 2 of this article or other constraints showing various types of complicated interdependencies between jobs in the project.
As in the graph of Figure 1, we associate with each job, S ij I „ I time, t, and a cost, c .


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