An $(n, r)$-arc is a set of $n$ points of a projective plane such that some $r$, but no $r+1$ of them, are collinear. The maximum size of an $(n, r)$-arc in  PG(2, q) is denoted by $m_r(2,q)$. In this paper thirteen new $(n, r)$-arc in  PG(2,,29) and a table with the best known lower and upper bounds on $m_r(2,29)$ are presented. The results are obtained by non-exhaustive local computer search.

Exponential growth in number of possible strategies with the increase in number of relations in a query has been identified as a major problem in the field of query optimization of relational databases. Present database systems use exhaustive search to find the best possible strategy. But as the size of a query grows, exhaustive search method itself becomes quite expensive. Other algorithms lik...

Today’s rule mining algorithms all use greedy approaches to generate rules representing the knowledge hidden in vast amounts of data. When using a greedy approach, systems cannot guarantee that optimal rules are found. On the other hand, exhaustive search algorithms find optimal rules. But due to the vast search spaces, exhaustive search algorithms are in most cases impractically slow. This pap...

This article may be used for research, teaching, and private study purposes. Any substantial or systematic reproduction, redistribution, reselling, loan, sub-licensing, systematic supply, or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date...

In this paper, we propose an Intelligent Decision Support System (IDSS) that combines prediction and optimization for production planning. We worked with a company provides software the garments Industry had access to real-world data related client works subcontractors. Using Automated Machine Learning (AutoML) approach, firstly target four predictive tasks are crucial estimate planning indicat...

In this paper we consider a number of real world case studies using an automatic design optimisation system called Nimrod/O. The case studies include a photochemical pollution model, two different simulations of the strength of a mechanical part and the radio frequency properties of a ceramic bead. In each case the system is asked to minimise an objective function that results from the executio...

Materials and methods This was a retrospective economic evaluation study. Type 2 diabetes patients of the universal coverage scheme who visited and followed up at general practice department of Nopparat Rajatanee hospital and the subcontractor private clinics for at least one year were recruited. The patient data were collected from medical records and from hospital computer systems from 1 Janu...