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A successful marketing strategy should be managed to integrate the decisions, such as pricing, post-sale service and production in order to maximise profits but most manufacturers did not fully consider how to integrate them into an effective one in the past. Therefore, in this study, we proposed a mathematical model and a corresponding solution algorithm to assist the decision-makers systematically to decide the synthetic decision. The decision-makers can make warranty and marketing decision according to their production capacity. Besides, the impacts on the profit, the sale, the price and the warranty when the related costs were varying are also discussed in the study, so that the decision-maker can more easily handle the possible situations. The failure times of the product in our study were drawn from a non-homogeneous Poisson process with a specific intensity function (linear, exponential or power law). A preventive maintenance programme was also considered in the warranty policy. Finally, a numerical example was given to demonstrate the effectiveness of the proposed model. [ABSTRACT FROM AUTHOR]

The quantitative evaluation of software reliability growth model is frequently accompanied by its confidence interval of fault detection. It provides helpful information to software developers and testers when undertaking software development and software quality control. However, the explanation of the variance estimation of software fault detection is not transparent in previous studies, and it influences the deduction of confidence interval about the mean value function that the current study addresses. Software engineers in such a case cannot evaluate the potential hazard based on the stochasticity of mean value function, and this might reduce the practicability of the estimation. Hence, stochastic differential equations are utilised for confidence interval estimation of the software fault-detection process. The proposed model is estimated and validated using real data-sets to show its flexibility. [ABSTRACT FROM AUTHOR]