Markov queue game with virtual reality strategies

A non cooperative markov game with several unique characteristics was introduced. Some of these characteristics include: the existence of a single phase multi server queuing model and markovian transition matrix/matrices for each game, introduction of virtual situations (virtual reality) or dummies to improve the chances of winning or dominating the opponent, existence of payoff reduction factor as a result of introduction of the virtual realities/dummies etc. The game had two variants: variant 1 for games with customer/input based virtual reality strategies and variant 2 games without customer/input based virtual reality strategies. Based on some of these characteristics enumerated above, as well as other characteristics and assumptions, a mathematical model was formulated for studying the games. From the model, nash equilibria was proved to exist. The model could be effectively used in studying competitive queuing systems which involves crowd renting, crowd hiding and other virtual reality and dummy strategies. Keywords: Markov games; Queuing; Virtual reality strategies; nash equilibrium, MSC CLASSIFICATION: 91A4

Game theoretic aspects of crowd renting

Politicians and businessmen use various strategies to outwit their opponents. One such strategy is crowd renting, a powerful virtual strategy. A mathematical model developed by Nwobi-Okoye using game theory is used to show that crowd renting would always be the equilibrium strategy in strategic interactions involving political actors and businesses, provided the cost of using such strategies does not exceed a certain critical threshold where using it would no longer be the equilibrium strategy. It is equally shown that crowd renting would improve the electoral/business fortunes of parties/candidates/businesses and queuing system performance by increasing the number of possible voters or customers as the case may be. Finally it is shown mathematically that delaying voting in opposition strongholds or delaying the start of business by an opponent makes the opposition or opponent less likely to win. Keywords: Crowd renting; Game theory; Equilibrium; Virtual strateg

Estimation of global solar radiation using empirical models

The dearth of solar radiation data availability has necessitated the development of several mathematical models for estimating global solar radiation (GSR) of regions using the readily available meteorological data of the region. This study was centered on estimating the GSR of the Ihiala region in Sub-Saharan Africa using empirical models. For the last ten years, meteorological data from the Nigerian Meteorological Agency (NIMET) were used. The sunshine-based equation, temperature-based equation, and multivariate polynomial equations were the empirical models employed to estimate the GSR of the region. The performance of the seven models was determined using statistical measures. From the results obtained, the seven models had their respective P-values all less than 5 % significant level for a confidence interval of 95 %. Thereby attesting their suitability for GSR estimation of the region is needed. Also, from the other statistical tools employed, the considered multivariate model had better estimation performance than the other models. Therefore, the considered multivariate model is suitable for estimating the GSR of the Ihiala region in Sub-Saharan Africa

Experimental study of the effect of wear parameters on the wear behavior of A356 alloy/cow horn particulate composites

Experimental study of the effect of wear parameters on the wear behaviour of A356 alloy reinforced with cow horn particles (CHp) produced by spark plasma sintering was investigated. Experiments were conducted based on the plan of experiments generated through Taguchi's (L9) technique. Tribometer was used for the wear test and Scanning electron microscope was used to analyse the worn scar of the samples. The results shows that, A356 alloy reinforced with CHp exhibited better dry sliding wear resistance than the unreinforced alloy. Wear rate decreased as the amount of CHp reinforcement increased in the matrix. It was found that, the optimum level of the factors with minimized the wear loss were obtained at: wt%CHp (20%), applied load (10 N), sliding velocity (3  m/s) and sliding distance (2000m). It can be seen that the wear track of the sample are (D = 0.81 andL = 42.85 μm) and (D = 0.54 and L = 27.03 μm) for A356alloy and composites at optimum condition respectively. The results showed that the addition of cow horn particles as reinforcing materials in A356 alloy composites increased the wear resistance of the composites greatly

Optimisation of transfer function models of multi input single output systems using genetic algorithms

Initial transfer function estimates usually require optimisation. In order to obtain a more efficient transfer function model, a manual estimation method is often employed. This manual estimation method, even though it results to better estimates of the transfer function model, it still does not give an optimum outcome. In order to obtain an optimum transfer function estimate, open source software based on genetic algorithm was developed. The software was developed with Visual Basic programming language. In order to test the software, a transfer function model was developed from data obtained from industry. The forecast obtained from the transfer function model has a MAPE of 99.82%. After optimisation using the developed software the MAPE of the new forecast was 99.84%. This shows a marginal improvement in forecast accuracy