Connections between the Sznajd model with general confidence rules and graph theory

The Sznajd model is a sociophysics model that is used to model opinion propagation and consensus formation in societies. Its main feature is that its rules favor bigger groups of agreeing people. In a previous work, we generalized the bounded confidence rule in order to model biases and prejudices in discrete opinion models. In that work, we applied this modification to the Sznajd model and presented some preliminary results. The present work extends what we did in that paper. We present results linking many of the properties of the mean-field fixed points, with only a few qualitative aspects of the confidence rule (the biases and prejudices modeled), finding an interesting connection with graph theory problems. More precisely, we link the existence of fixed points with the notion of strongly connected graphs and the stability of fixed points with the problem of finding the maximal independent sets of a graph. We state these results and present comparisons between the mean field and simulations in Barabasi-Albert networks, followed by the main mathematical ideas and appendices with the rigorous proofs of our claims and some graph theory concepts, together with examples. We also show that there is no qualitative difference in the mean-field results if we require that a group of size q > 2, instead of a pair, of agreeing agents be formed before they attempt to convince other sites (for the mean field, this would coincide with the q-voter model).

Satisfaction with the treatment, confidence and 'naturalness' in engaging in sexual activity in men with psychogenic erectile dysfunction: preliminary results of a randomized controlled trial of three therapeutic approaches

OBJECTIVE To assess the efficacy of group psychotherapy (GTP) and/or sildenafil for psychogenic erectile dysfunction (ED). PATIENTS AND METHODS A randomized controlled single-blind trial was performed at the Institute of Psychiatry of the Medical School of at Universidade de Sao Paulo, Sao Paulo, Brazil. In all, 30 men with mild and moderate psychogenic ED were randomized to receive for 6 months: GPT plus 50 mg sildenafil on-demand, or 50 mg sildenafil on-demand exclusively, or GPT exclusively. Changes in score from baseline for three questions of the Erectile Dysfunction Inventory of Treatment Satisfaction (EDITS) were evaluated at endpoint and after 3-months follow-up. RESULTS Satisfaction with the treatment, confidence and 'naturalness' increased in the GPT plus sildenafil and GPT exclusively groups (P = 0.001) from baseline to endpoint. The treatment-by-time comparison was not significant at endpoint vs the 3-month follow-up, in the three groups. There was no difference in the sildenafil group in the three study periods (P > 0.05) CONCLUSION Men with mild and moderate psychogenic ED had higher treatment satisfaction, confidence and naturalness in engaging in sexual activity when receiving GPT plus sildenafil or GP exclusively, when compared with sildenafil exclusively, as assessed by these three EDITS questions after 6-months treatment.

Bootstrap confidence intervals for industrial recurrent event data

Industrial recurrent event data where an event of interest can be observed more than once in a single sample unit are presented in several areas, such as engineering, manufacturing and industrial reliability. Such type of data provide information about the number of events, time to their occurrence and also their costs. Nelson (1995) presents a methodology to obtain asymptotic confidence intervals for the cost and the number of cumulative recurrent events. Although this is a standard procedure, it can not perform well in some situations, in particular when the sample size available is small. In this context, computer-intensive methods such as bootstrap can be used to construct confidence intervals. In this paper, we propose a technique based on the bootstrap method to have interval estimates for the cost and the number of cumulative events. One of the advantages of the proposed methodology is the possibility for its application in several areas and its easy computational implementation. In addition, it can be a better alternative than asymptotic-based methods to calculate confidence intervals, according to some Monte Carlo simulations. An example from the engineering area illustrates the methodology.

Development of a supplier and purchase order management product/service under the 4PL logistics concept: a case study

Supply chain starts with a demand arisen and ends with material transport and delivery at its final destination. With this in mind, most of manufacturing, processors or distribution companies of consumer goods, spare parts and components for production, processing and finished goods, within national or international markets, may not have information and control over its supply chain performance. This article presents concept and logistics models evolution, purchase order and international supplier management, control tower and its logistics information systems. This also presents a real process implementation for a global high tech manufacturer company.