This paper deals with the G/G/R machining system consisting of M operating machines as well as S cold standbys. The concepts of balking and reneging are incorporated which make our model more versatile to deal with real time systems. The broken-down machines are sent to repair facilities consisting of R permanent repairmen. The failure times and repair times are generally identical and independ...

In chemical engineering, several processes are represented by singular boundary value problems. In general, classical numerical methods fail to produce good approximations for the singular boundary value problems. In this paper, Chebyshev finite difference (ChFD) method and DTM-Pad´e method, which is a combination of differential transform method (DTM) and Pad´e approximant, are applied for sol...

The purpose of this study is to develop a conceptual model of Workplace safety and Health Knowledge diffusion. As workplace safety is becoming a global issue in the competitiveness of the business environment, knowledge diffusion model to workplace safety is found a mandatory tool to create awareness of the society and conceptual model is developed. Literature review was conducted in collecting...

Diffusion is the process by which a new technology spreads in its usage among a population. This chapter analyses the diffusion process of one aspect of the consumer-tobusiness electronic commerce (EC) in Australia, namely Internet shopping. The chapter first reviews three popular logistics diffusion models from the literature and then applies them to the EC diffusion data. Results show that th...

We study a queueing model with ordered arrivals, which can be called the ∆(i)/GI/1 queue. Here, customers from a fixed, finite, population independently sample a time to arrive from some given distribution F , and enter the queue in order of the sampled arrival times. Thus, the arrival times are order statistics, and the inter-arrival times are differences of consecutive ordered statistics. The...

Fleming-Viot processes are a wide class of probability-measure-valued diffusions which often arise as large population limits of so-called particle processes. Here we invert the procedure and show that a countable population process can be derived directly from the neutral diffusion model, with no arbitrary assumptions. We study the atomic structure of the neutral diffusion model, and elicit a ...