Much attention has been brought to determinization and ε-removal in previous work. This article describes an algorithm for extracting all ε-cycles, which are a special type of non-determinism, from an arbitrary finite-state transducer (FST). The algorithm factorizes (decomposes) the FST, T , into two FSTs, T1 and T2, such that T1 contains no ε-cycles and T2 contains all ε-cycles of T . Since ε-...

A set of integers S is called ε-Kronecker if every function on S of modulus one can be approximated uniformly to within ε by a character. The least such ε is called the ε-Kronecker constant. We transform the problem of calculating ε-Kronecker constants for finite sets of d elements into a geometric optimization problem. Using this approach we can explicitly determine the ε-Kronecker constant fo...

preventive maintenance scheduling is to perform a series of tasks that prevents or minimizes production breakdowns and improves the reliability. mathematical models have been developed to solve the preventive maintenance scheduling problem. there are several limitations in the prior work in this area of research. craft combinations are assumed to be given. the craft combination problem concerns...

In this paper, a bi-objective model is proposed for designing a pre-positioning network of pharmaceutical supplies considering their limited shelf-life. The presented model aims to consider both cost efficiency and responsiveness by minimization of total cost and the maximum amount of unmet demand under uncertainties in demand and supply sides’ data. Moreover, for effective distribution of reli...

This paper presents an optimization method that aims to mitigate disturbances in the radial-feed system of ring-pendulum double-sided polisher (RDP) during processing. We built a model RDP and developed single-tube robust predictive control enhance disturbance rejection capability system. To constrain states inside terminal constraint set further system’s robustness, we added ε-approximation ap...