Batch size is an important issue in a supply chain system. It affects stock, cost, and service quality. This paper presents a batch-size decision method to determine the optimal batch size for a supply chain system. The goal of this method is to minimize the total cost of a supply chain at a reasonable service level. The proposed method first applies a mathematical model to finding the possible...

A novel real-time final product quality control method for batch operations based on stacked leastsquares support vector regression models (stacked LSSVR) is proposed. It combines midcourse correction (MCC) and batch-to-batch control. To enhance the model prediction accuracy and generalization capability, a stacked LSSVR approach is presented. Quality control is achieved by predicting the final...

An animal-component-free and chemically defined fed-batch process for GS-engineered cell lines producing recombinant antibodies has been developed. The fed-batch process relied on supplying sufficient nutrients to match their consumption, simultaneously minimizing the accumulation of by-products (lactate and osmolality). The proportionalities of nutritional consumption were determined by direct...

Removal of, or adjustment for, batch effects or center differences is generally required when such effects are present in data. In particular, when preparing microarray gene expression data from multiple cohorts, array platforms, or batches for later analyses, batch effects can have confounding effects, inducing spurious differences between study groups. Many methods and tools exist for removin...

A single-server queueing model with infinite buffer and batch arrival of customers is considered. In contrast to the standard batch arrival when a whole batch arrives into the system at one epoch, we assume that the customers of an accepted batch arrive one by one in exponentially distributed times. Service time is exponentially distributed. Flow of batches is the stationary Poisson arrival pro...

This paper addresses a scheduling problem motivated by scheduling of diffusion operations in the wafer fabrication facility. In the target problem, jobs arrive at the batch machines at different time instants, and only jobs belonging to the same family can be processed together. Parallel batch machine scheduling typically consists of three types of decisions – batch forming, machine assignment,...

Data-intensive batch jobs increasingly compete for resources with customer-facing online workloads in modern data centers. Today, the two classes of workloads run on separate infrastructures using different resource managers that pursue different objectives. Batch processing systems strive for coarse-grained throughput whereas online systems must keep the latency of fine-grained enduser request...

Abstract Whereas the buffer content of batch-service queueing systems has been studied extensively, the customer delay has only occasionally been studied. The few papers concerning the customer delay share the common feature that only the moments are calculated explicitly. In addition, none of these surveys consider models including the combination of batch arrivals and a server operating under...

It has been experimentally observed that distributed implementations of mini-batch stochastic gradient descent (SGD) algorithms exhibit speedup saturation and decaying generalization ability beyond a particular batch-size. In this work, we present an analysis hinting that high similarity between concurrently processed gradients may be a cause of this performance degradation. We introduce the no...

We recently introduced a new stochastic Petri net model called “batch deterministic and stochastic Petri nets” (BDSPNs) capable of describing the synchronization of discrete and batch token flows in discrete batch processes. It is a powerful formal model for the study of inventory systems and supply chains where materials are processed or ordered in finite discrete quantities (batches) and many...