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In this paper, we investigate a new problem of optimal placement of multiple finite-size rectangular facilities with known dimensions in the presence of existing rectangular facilities. This problem has applications in facility layout (re)design in manufacturing, distribution systems, services, and electronic circuit design. Three types of facility interactions are considered: between new facilities and existing facilities; between pairs of existing facilities; and between pairs of new facilities. All interactions are serviced through a finite number of input/output points located on the facility boundaries. Travel is assumed to occur according to the rectilinear (or Manhattan) metric and travel through facilities is prohibited. The objective is to find the simultaneous and non-overlapping placement of new facilities, which minimises the total weighted distance (Minisum objective) between the interacting facilities. To arrive at a solution, we divide the feasible region into sub-regions and prove that the candidates for optimal placement of the new facilities can be drawn from the sub-region boundaries. Being a continuous generalisation of the quadratic assignment problem, the solution complexity of this procedure is exponential in the number of new facilities. Our main contribution is the rigorous treatment of an important problem that unifies facility location and layout theories with minisum objective and rectilinear metrics. [ABSTRACT FROM AUTHOR]

AbstractThis practitioner paper describes an inquiry-based approach applying the College, Career, and Civic Life (C3) framework to facilitate instruction of September 11, 2001 history, and its impact on post-9/11 society. An upper elementary level inquiry teaches the Boatlift Rescue from Manhattan Island, and a secondary level inquiry addresses the concepts of loss and persistence. Enduring issues are humanity and resiliency. The featured sources are children’s and youth literature related to 9/11 history and post-9/11 society. Children’s and youth trade books offer educators a valuable starting point to teach about 9/11 and post-9/11 history. For each inquiry instructional strategies are highlighted that encourage students to make their thinking visible when reading trade books and using primary sources from 9/11 repositories. [ABSTRACT FROM AUTHOR]

Haloperidol, the first butyrophenone neuroleptic, was created in Europe by Janssen Pharmaceuticals in 1958 and was introduced swiftly throughout the continent with great enthusiasm. On September 15, 1959, at Janssen's headquarters in Belgium, teams from around Europe praised the effectiveness of haloperidol. In the United States, on the contrary, its introduction was a tremendous failure, plagued by accusations of inefficacy and patent disputes. A clinical trial in Manhattan has been blamed for this commercial failure. The results of the Manhattan trial were seen as radically different from the results obtained in continental Europe. This divide would have considerable impact not only with regard to haloperidol's path on both sides of the Atlantic, but also possibly on the practical experience and theoretical construction of psychiatry. This article tries to reconstruct the story of that trial based mainly on published papers and interviews. Exploring how societal changes and issues of gender and race shaped this process, this investigation attempts to understand and contextualize different possible reasons for this Atlantic rift. [ABSTRACT FROM AUTHOR]