The structure of the commutative Moufang loops (CML) with minimum condition for subloops is examined. In particular it is proved that such a CML Q is a finite extension of a direct product of a finite number of the quasicyclic groups, lying in the centre of the CML Q. It is shown that the minimum conditions for subloops and for normal subloops are equivalent in a CML. Moreover, such CML also ch...

Computation models such as circuits describe sequences of computation steps that are carried out one after the other. In other words, algorithm design is traditionally subject to the restriction imposed by a fixed causal order. We address a novel computing paradigm, replacing this assumption by mere logical consistency: We study non-causal circuits, where a fixed time structure within a gate is...

In the manufacturing of TFT-LCD, the array process is for producing TFT-plates, the CF (color filter) process is for making CF-plates, and the cell process is for assembling a TFT plate with a CF one to form an integrated plate—called TFT-LCD plate. A TFT/CF plate comprises tens of panels and so is an assembled TFT-LCD plate. A TFT-LCD panel is good only when its two component panels are good. ...

A real economic growth only comes from increasing quality and quantity of the factors of production. Most production systems produce items which are of imperfect quality. In a production/inventory situation items which are received or produced are not of perfect quality. Thus the presence of defects which is inevitable in a produced/ordered lot is sorted out by the process of screening. Handlin...

This experience report illustrates the implementation of metrics about rework in Systems Engineering at Thales Airborne Systems. It explains how models and quantification of rework contribute to reduce waste in development processes. This paper is based upon our real experiences. Therefore, it could be considered as an industrial contribution to share this concept in Systems / Products Developm...

This study is concerned with the optimal common cycle time for a multi-item production system with discontinuous delivery and failure in rework. In real life manufacturing environments, managements often plan to produce multiple products in turn on a single machine in order to maximize machine utilization. Also, dealing with random defective items during production seems to be an inevitable tas...

This paper examines an economic production quantity (EPQ) model with rework and service level constraint. First, we prove that the expected overall costs for an imperfect EPQ model with backlogging permitted is less than or equal to that of the one without backlogging. Secondly, the relationship between “imputed backorder cost” and maximal shortage level is derived for decision-making on whethe...