In the paper, we study the mini-batch stochastic ADMMs (alternating direction method of multipliers) for the nonconvex nonsmooth optimization. We prove that, given an appropriate mini-batch size, the mini-batch stochastic ADMM without variance reduction (VR) technique is convergent and reaches the convergence rate of O(1/T ) to obtain a stationary point of the nonconvex optimization, where T de...

This paper deals with semi-online scheduling on two parallel batch processing machines with jobs’ nondecreasing processing times. Our objective is to minimize the makespan. A batch processing machine can handle up to B jobs simultaneously. We study unbounded model which means that B is sufficiently large. The jobs that are processed together construct a batch, and all jobs in a batch start and ...

Batch codes, introduced by Ishai et al. encode a string $x \in \Sigma^{k}$ into an $m$-tuple of strings, called buckets. In this paper we consider multiset batch codes wherein a set of $t$-users wish to access one bit of information each from the original string. We introduce a concept of optimal batch codes. We first show that binary Hamming codes are optimal batch codes. The main body of this...

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...

Radio- and chemotherapy for malignant neoplasms, especially in head and neck region, is associated with a greater risk of fungal infections due to secondary alterations in the mucous membranes. The study had three aims: 1.to determine the signs and symptoms which occur among patients undergoing radiotherapy; 2. to determine the fungi prevalence in the mouth and throat of patients before, during...

Data Warehouses and Business Intelligence (BI) applications are the top two priorities for CIO/CTOs (Celent report on December 14, 2005). A data warehouse IT infrastructure needs to support the requirement of (day time) ad hoc query response time and (night time) batch workload completion time. The following tasks need to be finished in a batch window: (1) Apply one day’s delta data to the base...

Polymorphism, a phenomenon in which a substance can have more than one crystal form, is a frequently encountered phenomenon in pharmaceutical compounds. Different polymorphs can have very different physical properties such as crystal shape, solubility, hardness, color, melting point, and chemical reactivity, so that it is important to ensure consistent production of the desired polymorph. In th...

In order to determine the efficiency of a production system, batch size and throughput are two important parameters that must be considered. In order to ensure system efficiencies and meet optimum utilization, batch size must conform to the throughput. The use of Queuing Network Theory to study the effect of batch size and throughput in optimizing the resource utilization, particularly machine ...

Manufacturers using traditional process control charts to monitor their sheet metal stamping processes often encounter out-of-control signals indicating that the process mean has changed. Unfortunately, a sheet metal stamping process does not have the necessary adjustability in its process variable input settings to allow adjusting the mean response in an out-of-control condition, hence the sig...