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Time Relaxed Round Robin Tournament and the NBA Scheduling Problem

This dissertation study was inspired by the National Basketball Association regular reason scheduling problem. NBA uses the time-relaxed round robin tournament format, which has drawn less research attention compared to the other scheduling formats. Besides NBA, the National Hockey League and many amateur leagues use the time-relaxed round robin tournament as well. This dissertation study is the first ever to examine the properties of general time-relaxed round robin tournaments. Single round, double round and multiple round time-relaxed round robin tournaments are defined. The integer programming and constraint programming models for those tournaments scheduling are developed and presented. Because of the complexity of this problem, several decomposition methods are presented as well. Traveling distance is an important factor in the tournament scheduling. Traveling tournament problem defined in the time constrained conditions has been well studied. This dissertation defines the novel problem of time-relaxed traveling tournament problem. Three algorithms has been developed and compared to address this problem. In addition, this dissertation study presents all major constraints for the NBA regular season scheduling. These constraints are grouped into three categories: structural, external and fairness. Both integer programming and constraint programming are used to model these constraints and the computation studies are presented.

Traveling tournament problem defined in the time constrained conditions has been well studied. This dissertation defines the novel problem of time-relaxed traveling tournament problem.

Round Robin

A robin who has eaten until he looks more like a ball than a bird finds when fall comes that he can only walk south while the other robins fly.

A robin who has eaten until he looks more like a ball than a bird finds when fall comes that he can only walk south while the other robins fly.

Mems Length and Strain Round Robin Results With Uncertainty Analysis (Classic Reprint)

Excerpt from Mems Length and Strain Round Robin Results With Uncertainty Analysis The goal of the round robin was to assess the reproducibility of measurements performed using the same test method at independent laboratories as well as the repeatability of measurements performed using the same test method, in the same laboratory, by the same operator, with the same equipment, in the shortest practicable period of time. Both the reproducibility and repeatability measurements were done on essentially random test units made of the same homogeneous material. The outcome of this round robin is a step towards assuring high quality data, which will help reduce the laboratory-to-laboratory differences in the parametric measurements. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work.

Round Robin Testing of Commercial Hydrogen Sensor Performance--Observations and Results

Preprint

This paper presented observations and results from round robin testing of commercial hydrogen sensor performance.

Hydrogen sensors are essential to facilitate the detection of accidental hydrogen releases wherever hydrogen will be produced, distributed, stored, and used.