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At least 343 records · Page 19

Design Considerations for GPU-based Mixed Integer Programming on Parallel Computing Platforms

Mixed Integer Programming (MIP) is a powerful abstraction in combinatorial optimization that finds real-life application across many significant sectors. The recent proliferation of graphical processing unit (GPU)-based accelerated computing architectures in large-scale parallel computing or supercomputing presents new opportunities as well as challenges in the advancement of MIP solver technology to effectively use the new accelerated computing platforms and scale to large parallel systems. Here, we recount the conventional processor-based strategies and focus on configurations where the most promising intersection lies between parallel MIP solver approaches and the specific strengths of accelerated parallel platforms. We note that the best potential lies in solving problems whose individual matrix sizes (of the linear program relaxation) fit entirely within one accelerator's memory and whose branch-and-bound (or branch-and-cut) trees cannot be fully contained within a small number of computational nodes. Additionally, we identify ideal features of computational linear algebra support on GPU accelerators that would help advance this direction of scalable parallel solution of MIP problems on GPU-based accelerated computing architectures.

Perumalla, Kalyan↗

Gear design considerations

This paper discusses the parameters of gears and gear lubrication that affect wear, pitting, and scoring. Formulas for sliding and rolling velocities and for relative radii of profile and lengthwise curvatures between gear teeth are listed. The effects of load sharing between teeth are considered, and formulas for contact stress are developed. The duration of tooth contact and the variation in coefficient of friction are considered. The aspects of oil film thickness and critical temperatures are presented in relation to gear tooth wear and scoring. A discussion of gear testing and simulated gear testing by means of rollers emphasizes the advantages of each.

Coleman, W.↗