Minimizing bounded uncertainty impact on scheduling with earliest start and due-date constraints via interval computation

Bounded uncertainty is a major challenge to real life scheduling as it increases the risk and cost depending on the objective function. Bounded uncertainty provides limited information about its nature. It provides only the upper and the lower bounds without information in between, in contrast to probability distributions and fuzzymembership functions. Bratley algorithm is usually used for scheduling with the constraints of earliest start and due-date. It is formulated as . The proposed research uses interval computation to minimize the impact of bounded uncertainty of processing times on Bratley’s algorithm. It minimizes the uncertainty of the estimate of the objective function. The proposed concept is to do the calculations on the interval values and approximate the end result instead of approximating each interval then doing numerical calculations. This methodology gives a more certain estimate of the objective function.

(S,N)-implications on bounded lattices

Since the birth of the fuzzy sets theory several extensions have been proposed. For these extensions, different sets of membership functions were considered. Since fuzzy connectives, such as conjunctions, negations and implications, play an important role in the theory and applications of fuzzy logics, these connectives have also been extended. An extension of fuzzy logic, which generalizes the ones considered up to the present, was proposed by Joseph Goguen in 1967. In this extension, the membership values are drawn from arbitrary bounded lattices. The simplest and best studied class of fuzzy implications is the class of (S,N)-implications, and in this chapter we provide an extension of (S,N)-implications in the context of bounded lattice valued fuzzy logic, and we show that several properties of this class are preserved in this more general framework.

Minimizing impact of bounded uncertainty on McNaughton's scheduling algorithm via interval programming

Uncertainty of data affects decision making process as it increases the risk and the costs of the decision. One of the challenges in minimizing the impact of the bounded uncertainty on any scheduling algorithm is the lack of information, as only the upper bound and the lower bound are provided without any known probability or membership function. On the contrary, probabilistic uncertainty can use probability distributions and fuzzy uncertainty can use the membership function. McNaughton's algorithm is used to find the optimum schedule that minimizes the makespan taking into consideration the preemption of tasks. The challenge here is the bounded inaccuracy of the input parameters for the algorithm, namely known as bounded uncertain data. This research uses interval programming to minimise the impact of bounded uncertainty of input parameters on McNaughton’s algorithm, it minimises the uncertainty of the cost function estimate and increase its optimality. This research is based on the hypothesis that doing the calculations on interval values then approximate the end result will produce more accurate results than approximating each interval input then doing numerical calculations.

Community languages, linguistic isolation and social exclusion in the Australian context

The detrimental impacts of social exclusion to health and well-being are well-known and are of increasing concern around the world. For many of the population sub-groups who are most at risk of social exclusion, linguistic isolation—the inability to use and understand the majority language—is a major barrier to full participation in the life of the community as well as to full integration into the society in which its members live. This paper, using data obtained from community-based research in Melbourne, Australia, will discuss the problem of linguistic isolation in the context of Australian multicultural policy and use of languages other than English among members of culturally and linguistically diverse (CALD) communities. The experience of members of two specific CALD communities, speakers of Arabic and speakers of Indonesian, will be discussed to illustrate the impacts of linguistic isolation on health and well-being and to elucidate the relationship between CALD status and social exclusion in these communities.

Design of a norm-bounded LQG controller for power distribution networks with distributed generation

This paper presents a novel excitation control design to improve the voltage profile of power distribution networks with distributed generation and induction motor loads. The system is linearised by perturbation technique. Controller is designed using the linear-quadratic-Gaussian (LQG) controller synthesis method. The LQG controller is addressed with norm-bounded uncertainty. The approach considered in this paper is to find the smallest upper bound on the H∞ norm of the uncertain system and to design an optimal controller based on this bound. The design method requires the solution of a linear matrix inequality. The performance of the controller is tested on a benchmark power distribution system. Simulation results show that the proposed controller provides impressive oscillation damping compared to the conventional excitation controller.

ε-bounded state estimation for time-delay systems with bounded disturbances

A new problem on ε-bounded functional state estimation for time-delay systems with unknown bounded disturbances is studied in this paper. In the presence of unknown bounded disturbances, the common assumption regarding the observers matching condition is no longer required. In this regard, instead of achieving asymptotic convergence for the observer error, the error is now required to converge exponentially within a ball with a small radius ε > 0. This means that the estimate converges exponentially within an ε-bound of the true value. A general observer that utilises multiple-delayed output and input information is proposed. Sufficient conditions for the existence of the proposed observer are first given. We then employ an extended Lyapunov-Krasovskii functional which combines the delay-decomposition technique with a triple-integral term to study the ε-convergence problem of the observer error system. Moreover, the obtained results are shown to be more effective than the existing results for the cases with no disturbances and/or no time delay. Three numerical examples are given to illustrate the obtained results.

Trials and tribulations of Sla framework in designing Arabic courses for speakers of other languages

There is a consensus among language teachers and researchers that language course design is always a work in progress. This is influenced by variables such as the type of language being taught and whether the teaching of this language has been researched. Arabic is one the languages that have created aperennial debate among its teachers about the anticipated challenges pointing principally to three reasons. The first reason refers to the dichotomy that exists between MSA and Colloquial Arabic, which will have a direct impact on teaching the macro-skill of „speaking‟. The second reason deals with the complexity of MSA in terms of grammar. The final reason discusses the theoretical aspects of language teaching and learning and its implications to the design of the Arabic program. This paper discusses these problems stemming from the recent empirical pilot study of teaching Arabic for a specific purposes (ASP). The study exposes some the problems mentioned above and suggests solutions to improve the teaching of Arabic in the light of theories of SLA and language teaching and learning.

Interethnic understanding and the teaching of local languages in Sri Lanka

 In precolonial times, equal socioeducational recognition accorded to local languages played a key role in promoting inter-ethnic harmony, co-existence and 'connectedness' between linguistically and ethnically .diverse people of Sri Lanka. This history should motivate policy considerations in postcolonial situations in the country. This chapter has its focus on educational issues surrounding the promotion of local languages for interethnic harmony in Sri Lanka, where the promotion of Sinhala among minority Tamils, and Tamil among the majority Sinhalese has been the subject of many current political, policy and popular discourses. Proficiency in the local languages was encouraged actively through policies and practices during precolonial times. However, despite popular thinking that there is an acute need to promote Tamil, its manifestation as a classroom subject in school education curricula for the majority Sinhalese and minority Tamils in post-war Sri Lanka has been lost in the public and policy discourses. Using archival records and opinions expressed in newspapers as data, this chapter explores these ambiguities in attitudes, policies and practices from precolonial times to the present day.