Browsing by Author "Silver, Edward A."
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Item Open Access A Markovian model for procurement of prescribed sizes(1989) Robb, David John; Silver, Edward A.Item Open Access Bayesian Estimation of the Rate at Which a Process, Monitored by an X Chart, Goes Out of Control(Taylor & Francis, 2004) Bischak, Diane; Silver, Edward A.We consider a process that is monitored by an X chart. It is assumed that the process may go out of control due to the occurrence of any of several independent assignable causes. The time until each specific assignable cause occurs is exponential, but the distributional parameters of the various causes are unknown and are not necessarily identical. A Bayesian approach is used to estimate these parameters. The approach encompasses prior knowledge about the parameters as well as observations of the process, including when the out-of-control situation was detected and the associated assignable cause. Numerical illustrations are provided that indicate how the posterior results depend upon the choice of the parameters of the prior distributions.Item Open Access Estimating the Out-of-Control Rate from Control Chart Data in the Presence of Multiple Causes and Process Improvement(Taylor & Francis, 2004) Bischak, Diane; Silver, Edward A.We consider a process that is monitored with an X chart. The process may go out of control due to the occurrence of one of several independent assignable causes. After the process has gone out of control and the assignable cause has been determined, the process undergoes improvement that results in a reduction of the rate due to that cause. We develop a Bayesian estimator of the rate at which the process is going out of control as well as of the rates of the individual assignable causes. The estimation procedure makes use of the Markov chain Monte Carlo technique of data augmentation. We provide numerical illustrations that indicate how the posterior results depend upon the data and upon the choice of the parameters of the prior distributions.Item Open Access The Exact Fill Rate in a Periodic Review Base Stock System under Normally Distributed Demand(Elsevier, 2011) Silver, Edward A.; Bischak, Diane P.In this paper we consider a periodic review order-up-to-level (or base stock) inventory control system under normally distributed demand. For such circumstances an expression for the exact fill rate (fraction of demand satisfied without backordering) has been available in the literature but has not been widely known, let alone used by practitioners. In this paper we redevelop the expression and contrast our derivation with the earlier published one. The paper has two purposes. First, we hope that the reappearance of the exact result in this journal will lead to its wider adoption. Second, showing two contrasting approaches to obtaining the same result may be useful for both research and pedagogical purposes.Item Open Access Modelling assistance for project procurement and disposal decisions(1998) Willoughby, Keith Allan; Silver, Edward A.Item Open Access Scheduling in a management context: stochastic tasks and non-regular performance measures(1992) Robb, David John; Silver, Edward A.Item Open Access Vendor performance evaluation for project procurement in the oil and gas industry(1988) Darragh, Brian; Silver, Edward A.