The hierarchical network design problem with multiple primary paths

Article Abstract:

A dynamic programming solution is formulated to find a suboptimal solution for the hierarchical network design problem with multiple primary paths. Results show that some of the origin nodes may be the same, and/or some of the destination nodes may be the same, or they may all be different. The problem is extended to a second origin/destination pair using the new network graph formed from the formulation with one origin/destination pair. The same formulation can be used for a third or fourth origin/destination pair.

Analysis, Network analysis (Planning), Dynamic programming

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Optimal fuzzy counterparts of scheduling rules

Article Abstract:

Research was conducted to examine the optimization of fuzzy schedules using precise definitions of dominance and fuzzy ranking. The goal is to analyze the requirements for optimality of fuzzy counterparts of classical optimal scheduling rules. Results indicate the possibility for the decision maker to conduct sensitivity assessment on the objective function. Fuzzy scheduling problems are caused by the lack of associativity, distributivity and commutativity of the fuzzy division and subtraction arithmetic operators.

Fuzzy algorithms, Fuzzy logic

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Scheduling of design projects with uncertain number of iterations

Article Abstract:

Research was conducted to examine scheduling design projects with uncertain number of iterations while managing design risks. A novel solution approach as well as a new problem formulation that integrates stochastic dynamic programming, Lagrangian relaxation, heuristics and ordinal optimization is developed. Simulation results indicate that uncertainties are effectively handled by satisfying task precedence and iteration constraints for each number of iteration.

Iterative methods (Mathematics), Usage, Iteration (Mathematics), Integer programming

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