A hybrid censoring scheme is a mixture of type I and type II censoring Schemes. When n items are placed on a life test, the experiment terminates under type I or type II hybrid censoring scheme if either a prefixed censoring time T or the rth (1 £ r £ n is fixed) failure is first or later observed, respectively. In this paper, we investigate the decomposition of entropy in both hybrid censoring Schemes. Entropy of type I hybrid censoring scheme is formulated and in order to determining the entropy of type II hybrid censoring scheme the available information are used. The results are then applied to some common life time distributions as illustrative examples.Finally, maximum entropy of the mentioned censoring Schemes is discussed.

A major characteristic of polymerization reactors is their complex nonlinear behaviour. Due to this nonlinear nature, control of polymerization reactors has always been a challenging task. In this article the performances of three adaptive control Schemes, namely, self-tuning control(STC), adaptive internal model control (AIMC) and adaptive robust generic model control (ARGMC) are compared through simulation studies. The temperature control of polymerization of methyl methacrylate (MMA), which is highly exothermic, is chosen for simulation. Simulation results show that all three Schemes can control the process but the best performance belongs to STC scheme.

A general overview of the scheduling’s literature of some researches shows that among various factors, the priority rules and also the structure of projects are two main factors that can be affected on the performance of multidirectional scheduling Schemes. In addition, a variation on the number of directors in scheduling Schemes (e.g., single directional, bi-directional, and tri-directional scheduling scheme) produces different makespans. However, the question of when to move from the single direction to the multidirectional scheduling Schemes remained open. In this paper, based on analytical and also empirical results, we show that when availability and distributions of resource measures such as the number of peaks and number of overflows or the average amount of overflows are increased, higher directional scheduling Schemes can be produced smaller makespans. Hence, in the light of these resource measures, the multidirectional scheduling Schemes can be reduced the dependency of the solution’s quality on the priority rules used.

‎The Frobenius complement of a given Frobenius group acts on its kernel‎. The scheme which is arisen from the orbitals of this action is called Ferrero pair scheme‎. In this paper‎, ‎we show that the fibers of a Ferrero pair scheme consist of exactly one singleton fiber and every two fibers with more than one point have the same cardinality‎. Moreover‎, ‎it is shown that the restriction of a Ferrero pair scheme on each fiber is isomorphic to a regular scheme‎. Finally‎, ‎we prove that for any prime p‎, ‎there exists a Ferrero pair p-scheme‎, ‎and if p>2‎, ‎then the Ferrero pair p-Schemes of the same rank are all isomorphic‎.