Erratum for “Productivity Scheduling Method: Linear Schedule Analysis with Singularity Functions” by Gunnar Lucko
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VIEW THE CORRECTED ARTICLEPublication: Journal of Construction Engineering and Management
Volume 137, Issue 12
The following corrections should be noted for errors resulting from omission of analogous buffer equations and consequent shortening of the paper. The writer apologizes for any confusion that this may have caused. On page 250, the differences of the intercepts for Eqs. (17) - (21) should use the intercepts of for activities , per Table 2, and should be corrected as shown in the following section to subtract the buffer equations of predecessors from activity equations of successors.
Difference Equations for Time Buffers
(17)
(18)
(19)
(20)
(21)
The corrected differences of the intercepts are . These difference equations describe the white trapezoidal areas in Fig. 5. See also Fig. 6, in which they appear as white triangles after consolidation. All subsequent equations in the paper remain correct; the erroneous differences of the intercepts become zero in the following differentiation to find the minima of the trapezoids.
Difference Equations for Amount Buffers
The following equations are correct but are rewritten in a longer form to simplify verification. These difference equations describe a figure analogous to Fig. 5 but for amount buffers. See also Fig. 7, in which these differences appear as white triangles after consolidation. Note that here the activity equations of Eqs. (5)–(10) and their amount buffer equations are alternatingly stacked, with slightly different intercepts of for activities , per Table 3. This results from the “plateau” of the amount buffers, which constitutes their maximum value for stacking and is different from the time buffers
(22)
(23)
(24)
(25)
(26)
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© 2011 American Society of Civil Engineers.
History
Received: Feb 25, 2011
Accepted: Jun 13, 2011
Published online: Nov 15, 2011
Published in print: Dec 1, 2011
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