Resource Allocation with Tree Constraints

Article Abstract:

The allocation of a resource to activities with concave return functions has been discussed by Luss and Gupta and extended by Zipkin. This paper incorporates resource-constraints in the form of upper-bounds on the total quantities allocated to subsets of activities. The subsets are further subdivided with constraints to form tree structures. Results are presented for certain return functions and for problems with several resources.

Resource allocation, Modeling, Data modeling software, Models, Tree Structures

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Minimizing Costs of Resource Requirements in Project Networks Subject to a Fixed Completion Time

Article Abstract:

The minimization of resource costs in a project network subject to a time limit is considered. The results show that optimal results can be determined for all resource requirements and costs. Certain sets of feasible structures are identified and methods for determining them and optimal results are given. Diagrams present a problem, its feasibility domain, and its maximal feasible partial orders.

Network analyzers, Cost control, LAN Monitor, Networks, Cost, Network Models, Cost Reduction, Cost Estimation, Resource Management, Algorithm Analysis, Minimization

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On Min-Max Integer Allocation Problems

Article Abstract:

A bottleneck integer allocation problem is addressed. It was addressed in this journal by Zeitlin in 1981. He developed a solution with a quasiconvex objective function.

Integer programming, Optimization, Scientific Research, Minimax Approximation

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