Calculating a Monte Carlo standard error (MCSE) is an important step in the statistical analysis of the simulation output obtained from a Markov chain Monte Carlo experiment. An MCSE is usually based on an estimate of the variance of the asymptotic normal distribution. We consider spectral and batch means methods for estimating this variance. In particular, we establish conditions which guarant...

We consider the problem of batch scheduling on parallel machines where jobs have release times, deadlines, and identical processing times. The goal is to schedule these jobs in batches of size at most B on m identical machines. Previous work on this problem primarily focused on finding feasible schedules. Motivated by the problem of minimizing energy, we consider problems where the number of ba...

Gu map-1 is a modified version of GGH map. It uses same ideal lattices for constructing the trapdoors, while the novelty is that no encodings of zero are given. In this short paper we show that Gu map-1 cannot be used for the instance of witness encryption (WE) based on the hardness of 3-exact cover problem. That is, if Gu map-1 is used for such instance, we can break it by soving a combined 3-...

This paper considers a bi-objective model for a scheduling problem of unrelated parallel batch processing machines to minimize the makespan and maximum tardiness, simultaneously. Each job has a specific size and the data corresponding to its ready time, due date and processing time-dependent machine are uncertain and determined by trapezoidal fuzzy numbers. Each machine has a specific capacity,...

The presence of random yields in many manufacturing processes can considerably complicate production planning and control. We investigate a batch production system with due dates, where the yield of each batch is random and the production lead time is longer than the time interval between starting consecutive batches. To satisfy an order with a given due date, several input batches could be ini...

1. fntroduction We consider poliing systems where service is given in batches of unlimited size. When the server visits a queue, all customers present are served in a single batch. We call tlis gated batch seruice. The batch service time is independent of the size of the batch. Some examples of such systems are discussed in the literature below. Examples more related to manufacturing are ovens,...