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Sometimes, quality of a process can be described by a functional relationship between response variables and explanatory variables which called profile. In some situations, there is an autocorrelation structure within a profile. Most of the times in real practice there is no enough data to estimate the process parameters. In this case, we can use a self-starting control chart which does not need preliminary...
In manufacturing processes, a vector of multiple responses is often monitored to assess if the process is in-control. A multivariate Shewhart control chart is one method of monitoring the mean vector. If the chi-square statistic exceeds an upper control limit (UCL), then an out-of-control signal occurs. The average run length (ARL) is used to determine the UCL value. ARLs have been estimated under...
Making decisions in complex systems it is a complicated task to accomplish. As complexity and uncertainty increase, the use of scenarios to exploring that uncertainty becomes essential to support decision makers. The difficulty associated with the combinatorial need imposed by complex systems requires methods and tools to unburden analysts from the cumbersome task of manually deriving scenarios and...
This paper considers a robust approach for an inventory model considering standard and high qualities of a product under price and quantity competitions. In the case the competitive store sells a standard product, another store must decide the purchase volumes, prices and ordering quantities of standard and high quality products in order to manage a loss risk as well as maximize the total profit....
This paper considers that a company is planning to produce innovative products in an uncertain market environment. We build production planning models with the one-shot decision theory (OSDT) where the optimal production plan is obtained to correspond to some special scenarios. Since the OSDT based production planning model is a bi-level programming problem with a non-smooth lower level program which...
Customers expect fast delivery of products and services. Businesses understand this requirement and focus on efficient supply chains. The vendor selection process, which is complicated due a host of internal and external factors affecting the decision making, is fundamental to an efficient and responsive supply chain. As a selection criterion, the on-time probability for a vendor to supply a part...
This paper aims to develop a parameter estimation approach for load-sharing systems subject to continuous degradation. The system consists of multiple components in parallel structure. The components of the system suffer a degradation process, characterized respectively by Wiener process and Inverse Gaussian process. When components fail one by one, the total workload is redistributed among the remaining...
Quantitative accelerated test was divided into two accelerating modes which are accelerated stress level and accelerated the use-rate. In the traditional statistical method, the use-rate and the stress level of the product under normal conditions are set to certain values and then the service life of the product is extrapolated according to the acceleration model. But in fact both of them are variables...
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