Abstract-When attempting to better understand the strengths and weaknesses of an algorithm, it is important to have a strong understanding of the problem at hand. This is true for the field of multiobjective evolutionary algorithms (EAs) as it is for any other field.Many of the multiobjective test problems employed in the EA literature have not been rigorously analyzed, which makes it difficult to draw accurate conclusions about the strengths and weaknesses of the algorithms tested on them. In this paper, we systematically review and analyze many problems from the EA literature, each belonging to the important class of real-valued, unconstrained, multiobjective test problems. To support this, we first introduce a set of test problem criteria, which are in turn supported by a set of definitions.Our analysis of test problems highlights a number of areas requiring attention. Not only are many test problems poorly constructed but also the important class of nonseparable problems, particularly nonseparable multimodal problems, is poorly represented. Motivated by these findings, we present a flexible toolkit for constructing well-designed test problems. We also present empirical results demonstrating how the toolkit can be used to test an optimizer in ways that existing test suites do not.Index Terms-Evolutionary algorithms (EAs), multiobjective evolutionary algorithms, multiobjective optimization, multiobjective test problems.

Abstract-We present an algorithm for calculating hypervolume exactly, the Hypervolume by Slicing Objectives (HSO) algorithm, that is faster than any that has previously been published. HSO processes objectives instead of points, an idea that has been considered before but that has never been properly evaluated in the literature. We show that both previously studied exact hypervolume algorithms are exponential in at least the number of objectives and that although HSO is also exponential in the number of objectives in the worst case, it runs in significantly less time, i.e., two to three orders of magnitude less for randomly generated and benchmark data in three to eight objectives. Thus, HSO increases the utility of hypervolume, both as a metric for general optimization algorithms and as a diversity mechanism for evolutionary algorithms.

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There is no current information regarding the prevalence of hookworm in Australian dogs and cats and based on the results of studies conducted over 20 years ago, where high prevalences of helminths were recorded, the prophylactic administration of broad spectrum anthelmintics has been advocated.During this study, faecal samples were collected from dogs (n = 1391) and cats (n = 1027) across Australia. Samples were examined by microscopy and information regarding the demographics of each animal, and the management practices they experienced were recorded. A highly sensitive and species-specific PCR-RFLP technique was utilized to differentiate the various hookworm species which can infect dogs and cats directly from eggs in faeces. The prevalence of hookworm in dogs and cats was found to be 6.9% and 1.4%, respectively. Ancylostoma ceylanicum was detected for the first time in Australia in 10.9% of the dogs found positive for hookworm. Significantly, A. ceylanicum is capable of causing a patent infection in humans. After adjusting for other factors with multiple logistic regression, dogs from refuges, dogs originating from a tropical climatic zone, dogs aged 1 year or less, and those dogs which had not received anthelmintics were significantly more likely to be parasitized. Only univariate analysis was conducted for the cats as there were too few samples positive for hookworm. Cats were more likely to be infected with hookworm if they were from refuges, originated from a tropical climatic zone, and had not received treatment with anthelmintics.The results of this study demonstrates the importance of having current information regarding the prevalence of parasites of dogs and cats and the risk factors associated with infection, as well as the need to reassess the veterinary and public health concerns regarding hookworm infection and its control, which are currently based on out-dated information.