F.16 MODULE—FIRST ORDER (PIPELINE) DELAY—ARRAY—ATTRITION
F.16.1 General Description
This module ages a stock over a period of time, Time Delay, whilst accommodating attrition losses along the way. This is the same as placing items on a conveyor belt and removing a fraction of them before they reach the end. This module enhances the functionality of the First-order Pipeline Delay—Attrition, by adding new dimensions to aid analysis.

F.16.2 Influence Diagram Representation
The influence diagram representation is shown in Figure F16-2.

F.16.3 Reference Sources
This module is defined after Abdel-Hamid and Madnick (1990: 63-68) and Hines, et al. (2000: 22-23). Delays are described in Sterman (2000: Ch 11) and in the Powersim™ Studio Reference Guide. Ageing chains are described in Sterman (2000: Ch 12).
F.16.4 Application
Detailed treatment of this module is provided in Chapter 5. Development of the array version of the pipeline delay is explained in detail in Figures 5-13 and Table 5-10 through to Figures 5-20 and Table 5-15. The stock-and-flow diagram for a basic module used in the development of a career succession planning model is shown in Figure F16-3.
F.16.5 Functional Description
The functions of the variables contained in the module are described in Figures 5-13 and Table 5-10 through to Figures 5-20 and Table 5-15. Given the detail provided in Chapter 5, further explanation of the development of a succession planning module is not necessary.

References
- Abdel-Hamid, T. and Madnick, S.E., 1990, Software Project Dynamics: An Integrated Approach, Prentice Hall, Englewood Cliffs, New Jersey.
- Hines, J., et al., 2000, Molecules of Structure: Building Blocks for System Dynamics Models, Version 1.4, LeapTec and Ventana Systems, Inc.
- Sterman, J.D., 2000, Business Dynamics: Systems Thinking and Modelling for a Complex World, Irwin McGraw-Hill.
