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Description
This example illustrates a personnel planning problem and its corresponding multi-period model. An airline company must decide how many flight attendants to hire and train over the next six months. The model includes a (stock) balance constraint which is typical in multi-period models involving state and control type decision variables. A time lag notation is introduced for the backward referencing of time periods.
Initially, a simplified formulation of the model is solved and it is shown that rounding a fractional linear programming solution can be a good alternative to using an integer programming solver. Finally, the full model complete with random variables is considered and an approach based on the use of probabilistic constraints is presented.
Keywords
Control-State Variables, Rounding Heuristic, Probabilistic Constraint
Industries
Model Types
References
Chapter 8 - An Employee Training Problem in the Optimization Modeling Guide
Download AIMMS Example
You can download an AIMMS example dealing with this problem via the link below, and run it after installing the AIMMS software. If you don't have an AIMMS license yet, you can download a free license of AIMMS.
ftp://ftp.aimms.com/pub/Download/Examples/Employee Training.aimmspack
Please make sure to save this file including the .aimmspack extension so that it can be opened by AIMMS.
This example application is a simplification of reality. Please do not hesitate to contact us to discuss how AIMMS enables you to build a complete optimization application that captures the full complexity of your problem.
Screenshot AIMMS Example
