We consider a bulk service G I / M / l queue with service rates depending on service batch size. If there are n customers waiting at the completion of service, min(n, I\) customers enter service. We show that the queue size and the service batch size at points of arrivals form an embedded Markov chain and the steady-state probabilities of this Markov chain have the matrix geometric form. We des...

Plant cells in suspension cultures tend to form aggregates. This can affect the physiology of the cells and hence the production of valuable secondary metabolites. Aggregation is also important from a process engineering point of view. In this work, the change in the size distribution of plant cell aggregates in a batch culture is studied. The growth of suspension cultures of Capsicum frutescen...

This paper presents a heuristic approach based on genetic algorithm (GA) for solving large-size multi-stage multi-product scheduling problem (MMSP) in batch plant. The proposed approach is suitable for different scheduling objectives, such as total process time, total flow time, etc. In the algorithm, solutions to the problem are represented by chromosomes that will be evolved by GA. A chromoso...

Log-structured file systems create a performance benefit by maximizing the rate at which disk write operations can occur. However, this benefit comes at the expense of individual read operations, which can experience long queuing delays due to batched write service. This paper presents an analytic derivation of the write batch size that minimizes read response time, while retaining the benefit ...

Because of the branching arising from partial self-complementarity, long single-stranded (ss) RNA molecules are significantly more compact than linear arrangements (e.g., denatured states) of the same sequence of monomers. To elucidate the dependence of compactness on the nature and extent of branching, we represent ssRNA secondary structures as tree graphs which we treat as ideal branched poly...

In acceptance sampling plans, the decisions on either accepting or rejecting a specific batch is still a challenging problem. In order to provide a desired level of protection for customers as well as manufacturers, in this paper, a new acceptance sampling design is proposed to accept or reject a batch based on Bayesian modeling to update the distribution function of the percentage of nonconfor...