What is mathematical programming, how can it be applied to resource decisions, and what are the advantages and disadvantages of doing so?
What will be an ideal response?
Math programming is sometimes used to generate optimal solutions to resource-constrained problems in the multi-project setting, just as it can be employed for single projects. The common goals of minimizing total development time and lateness and maximizing resource utilization across all projects can all be addressed by mathematical programming. The constraints of limited resources, precedence relationships among activities and projects, due dates, opportunities for activity splitting, concurrent and otherwise activity performance requirements, and resource substitution limit our ability to achieve the aforementioned goals. While mathematical programming can achieve an optimal solution to these problems, its use is limited due to the complexity of the problem, the large number of computational variables, and the time necessary to generate a sufficiently small set of options.
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