In simulation-based optimization of queuing systems, the presence of discrete-valued parameters (such as buffer sizes and the number of servers) makes the optimization difficult. We propose a novel technique for embedding such discrete parameters into a continuous space, so that optimization can be performed efficiently using continuous-space methods. Unlike spatial interpolation, our embedding...

Recently, wafer fabrication has become more complicated and lengthened the product queue time. To ensure final product yield, engineers need to set up queue time limits for particular machines during wafer processing; we name it as “time constraints”. Time constraint problems are more serious when the time constraint is short, process is reentrant and batching. Generally, batch processing in wa...

to improve the efficiency of hospital, reduce patients’ waiting time, as well as meet patients’ satisfaction, the optimization of patients’ queuing system which is based on the knowledge of queuing theory has the practical significance in the use of medical equipments. Based on the relevant data of the usage of Bultrasound in a hospital, the distribution model of queuing theory has been analyze...

There are many situations in daily life when a queue is formed. Queuing theory is the mathematical study of waiting lines and it is very useful for analyzing the procedure of queuing of daily life of human being. Queuing theory applies not only in day to day life but also in sequence of computer programming, networks, medical field, banking sectors etc. In this paper, we analyze the basic featu...

We establish sharp large deviation principles for cumulative rewards associated with a discrete-time renewal model, supposing that each involves broad-sense reward taking values in real separable Banach space. The framework we consider is the pinning model of polymers, which amounts to Gibbs change measure classical process and includes it as special case. first tackle problem constrained where...

Standard queuing theory describes only the long-term behavior of a queue. The passenger arrivals at the airport immigration fluctuate significantly during the day. The standard queuing theory cannot be used in this case for predicting the queue lengths. Instead time-dependent queuing approaches need to be applied. The queues and arrivals at the incoming immigration of Narita airport were observ...