Optimal five-year planning using mixed-integer linear programming three models implemented for Naval Air Test Center.
Mavrikas, Christos Efthimios
Brown, Gerald G.
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The application of Linear Programming (LP) models in the resource allocation process of organizations with workload partitioned in discrete projects was examined by developing two integer and one mixed-integer, large-scale LP models. These models have been implemented to seek optimal five-year project plans for Naval-Air-Test-Center (NATC) , involving a workforce numbered in hundreds and a budget of millions of dollars. In allocating resources, the optimal solution is the solution which yields the 'best' value, or the most desirous return to the organization; this return can also be called the solution benefit. Solutions should also be feasible in terms of the limitations on the availability of the resources by location and by time. MODEL-1 and MODEL-2 use a static workforce distribution and MODEL-3 allows limited reallocation of personnel to improve the solution; when reallocation is ordered, both reduction in labor efficiency and a penalty in the project benefit are introduced by MODEL-3. All three models have been implemented successfully using real data from NATC. The implementation is described and the solutions are compared with the solution given by NATC without models. A proposal is made to use the models in practice so that NATC can achieve more optimal five-year plans and also to improve the existing workforce distribution by location and by time.
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