We show that the problem of assessing the quality of a plan, or its plan robustness, is #P-complete, establishing its equivalence with the weighted model counting problems.
It investigates the practical use of the notion of motion plan quality and of the motion plan robustness measures for computing safe motions.
By using the concept of plan robustness, several alternative paths are generated and evaluated through various performance indices and impact factors, using heuristic rules.
Furthermore, Meeker [18] proposed several compromise plans, and the criterion that evaluates the ALT plan robustness to deviations in the model parameters and product life distribution.
To solve these problems, Nelson [14, 15, 16, 17] suggested the use of a "compromise plan" with three or four stress levels, to enable the middle stress level to test the stress-life relationship, prevent test failures, and improve the plan robustness to the deviations in the statistical model and model parameters.
Such different levels of planning scheme robustness can be demonstrated and tested in the case of a severe natural disaster, when acute planning for reconstruction is called for.
The decision analysis is adopted in this paper to inspect various planning alternatives robustness under a series of uncertainties mentioned above.
To investigate, in a treatment plan design and robustness study, whether proton pencil beam scanning (PBS) has the potential to offer advantages, relative to interfraction uncertainties, over photon volumetric modulated arc therapy (VMAT) in a locally advanced rectal cancer patient population.
The results suggest that as a result of the development plan, the robustness of the case study network will improve in terms of average performance deterioration as well as worst case scenario for all performance indicators.
A case study for the City of San Antonio, Texas (USA) presents a vivid example where scenario planning demonstrates the robustness and flexibility of this modeling analysis.
