Waste collection routing-limited multiple landfills and heterogeneous fleet

This article deals with a real-life waste collection routing problem. To efficiently plan waste collection, large municipalities may be partitioned into convenient sectors and only then can routing problems be solved in each sector. Three diverse situations are described, resulting in three different new models. In the first situation, there is a single point of waste disposal from where the vehicles depart and to where they return. The vehicle fleet comprises three types of collection vehicles. In the second, the garage does not match any of the points of disposal. The vehicle is unique and the points of disposal (landfills or transfer stations) may have limitations in terms of the number of visits per day. In the third situation, disposal points are multiple (they do not coincide with the garage), they are limited in the number of visits, and the fleet is composed of two types of vehicles. Computational results based not only on instances adapted from the literature but also on real cases are presented and analyzed. In particular, the results also show the effectiveness of combining sectorization and routing to solve waste collection problems.

Sectors and routes in solid waste collection

Collecting and transporting solid waste is a constant problem for municipalities and populations in general. Waste management should take into account the preservation of the environment and the reduction of costs. The goal with this paper is to address a real-life solid waste problem. The case reveals some general and specific characteristics which are not rare, but are not widely addressed in the literature. Furthermore, new methods and models to deal with sectorization and routing are introduced, which can be extended to other applications. Sectorization and routing are tackled following a two-phase approach. In the first phase, a new method is described for sectorization based on electromagnetism and Coulomb’s Law. The second phase addresses the routing problems in each sector. The paper addresses not only territorial division, but also the frequency with which waste is collected, which is a critical issue in these types of applications. Special characteristics related to the number and type of deposition points were also a motivation for this work. A new model for a Mixed Capacitated Arc Routing Problem with Limited Multi-Landfills is proposed and tested in real instances. The computational results achieved confirm the effectiveness of the entire approach.

Electromagnetism based approach to Sector design in Waste Collection

For efficient planning of waste collection routing, large municipalities may be partitioned into convenient sectors. The real case under consideration is the municipality of Monção, in Portugal. Waste collection involves more than 1600 containers over an area of 220 km2 and a population of around 20,000 inhabitants. This is mostly a rural area where the population is distributed in small villages around the 33 boroughs centres (freguesia) that constitute the municipality. In most freguesias, waste collection is usually conducted 3 times a week. However, there are situations in which the same collection is done every day. The case reveals some general and specific characteristics which are not rare, but are not widely addressed in the literature. Furthermore, new methods and models to deal with sectorization and routing are introduced, which can be extended to other applications. Sectorization and routing are tackled following a three-phase approach. The first phase, which is the main concern of the presentation, introduces a new method for sectorization inspired by Electromagnetism and Coulomb’s Law. The matter is not only about territorial division, but also the frequency of waste collection, which is a critical issue in these types of applications. Special characteristics related to the number and type of deposition points were also a motivation for this work. The second phase addresses the routing problems in each sector: new Mixed Capacitated Arc Routing with Limited Multi-Landfills models will be presented. The last phase integrates Sectoring and Routing. Computational results confirm the effectiveness of the entire novel approach.

Eastwards / westwards: which direction for gender studies in the 21st century?

Eastwards / Westwards: Which Direction for Gender Studies in the XXIst Century? is a collection of essays which focus on themes and methods that characterize current research into gender in Asian countries in general. In this collection, ideas derived from Gender Studies elsewhere in the world have been subjected to scrutiny for their utility in helping to describe and understand regional phenomena. But the concepts of Local and Global – with their discoursive productions – have not functioned as a binary opposition: localism and globalism are mutually constitutive and researchers have interrogated those spaces of interaction between the ‘self’ and the ‘other’, bearing in mind their own embeddedness in social and cultural structures and their own historical memory. Contributors to this collection provided a critical transnational perspective on some of the complex effects of the dynamics of cultural globalization, by exploring the relation between gender and development, language, historiography, education and culture. We have also given attention to the ideological and rhetorical processes through which gender identity is constructed, by comparing textual grids and patterns of expectation. Likewise, we have discussed the role of ethnography, anthropology, historiography, sociology, fiction, popular culture and colonial and post-colonial sources in (re)inventing old/new male/female identities, their conversion into concepts and circulation through time and space. This multicultural and trans-disciplinary selection of essays is totally written in English, fully edited and revised, therefore, it has a good potential for an immediate international circulation. This project may trace new paths and issues for discussion on what concerns the life, practices and narratives by and about women in Asia, as well as elsewhere in the present day global experience. Academic readership: Researchers, scholars, educators, graduate and post-graduate students, doctoral students and general non-fiction readers, with a special interest in Gender Studies, Asia, Colonial and Post-Colonial Literature, Anthropology, Cultural Studies, History, Historiography, Politics, Race, Feminism, Language, Linguistics, Power, Political and Feminist Agendas, Popular Culture, Education, Women’s Writing, Religion, Multiculturalism, Globalisation, Migration. Chapter summary: 1. “Social Gender Stereotypes and their Implication in Hindi”, Anjali Pande, Jawaharlal Nehru University, New Delhi, India. This essay looks at the subtle ways in which gender identities are constructed and reinforced in India through social norms of language use. Language itself becomes a medium for perpetuating gender stereotypes, forcing its speakers to confirm to socially defined gender roles. Using examples from a classroom discussion about a film, this essay will highlight the underlying rigid male-female stereotypes in Indian society with their more obvious expressions in language. For the urban woman in India globalisation meant increased economic equality and exposure to changed lifestyles. On an individual level it also meant redefining gender relations and changing the hierarchy in man-­woman relationships. With the economic independence there is a heightened sense of liberation in all spheres of social life, a confidence to fuzz the rigid boundaries of gender roles. With the new films and media celebrating this liberated woman, who is ready to assert her sexual needs, who is ready to explode those long held notions of morality, one would expect that the changes are not just superficial. But as it soon became obvious in the course of a classroom discussion about relationships and stereotypes related to age, the surface changes can not become part of the common vocabulary, for the obvious reason that there is still a vast gap between the screen image of this new woman and the ground reality. Social considerations define the limits of this assertiveness of women, whereas men are happy to be liberal within the larger frame of social sanctions. The educated urban woman in India speaks in favour of change and the educated urban male supports her, but one just needs to scratch the surface to see the time tested formulae of gender roles firmly in place. The way the urban woman happily balances this emerging promise of independence with her gendered social identity, makes it necessary to rethink some aspects of looking at gender in a gradually changing, traditional society like India. 2. “The Linguistic Dimension of Gender Equality”, Alissa Tolstokorova, Kiev Centre for Gender Information and Education, Ukraine. The subject-matter of this essay is gender justice in language which, as I argue, may be achieved through the development of a gender-related approach to linguistic human rights. The last decades of the 20th century, globally marked by a “gender shift” in attitudes to language policy, gave impetus to the social movement for promoting linguistic gender equality. It was initiated in Western Europe and nowadays is moving eastwards, as ideas of gender democracy progress into developing countries. But, while in western societies gender discrimination through language, or linguistic sexism, was an issue of concern for over three decades, in developing countries efforts to promote gender justice in language are only in their infancy. My argument is that to promote gender justice in language internationally it is necessary to acknowledge the rights of women and men to equal representation of their gender in language and speech and, therefore, raise a question of linguistic rights of the sexes. My understanding is that the adoption of the Universal Declaration of Linguistic Rights in 1996 provided this opportunity to address the problem of gender justice in language as a human rights issue, specifically as a gender dimension of linguistic human rights. 3. “The Rebirth of an Old Language: Issues of Gender Equality in Kazakhstan”, Maria Helena Guimarães, Polytechnic Institute of Porto, Portugal. The existing language situation in Kazakhstan, while peaceful, is not without some tension. We propose to analyze here some questions we consider relevant in the frame of cultural globalization and gender equality, such as: free from Russian imperialism, could Kazakhstan become an easy prey of Turkey’s “imperialist dream”? Could these traditionally Muslim people be soon facing the end of religious tolerance and gender equality, becoming this new old language an easy instrument for the infiltration in the country of fundamentalism (it has already crossed the boarders of Uzbekistan), leading to a gradual deterioration of its rich multicultural relations? The present structure of the language is still very fragile: there are three main dialects and many academics defend the re-introduction of the Latin alphabet, thus enlarging the possibility of cultural “contamination” by making the transmission of fundamentalist ideas still easier through neighbour countries like Azerbaijan, Uzbekistan and Turkmenistan (their languages belong to the same sub-group of Common Turkic), where the Latin alphabet is already in use, and where the ground for such ideas shown itself very fruitful. 4. “Construction of Womanhood in the Bengali Language of Bangladesh”, Raasheed Mahmood; University of New South Wales, Sydney. The present essay attempts to explore the role of gender-based language differences and of certain markers that reveal the status accorded to women in Bangladesh. Discrimination against women, in its various forms, is endemic in communities and countries around the world, cutting across class, race, age, and religious and national boundaries. One cannot understand the problems of gender discrimination solely by referring to the relationship of power or authority between men and women. Rather one needs to consider the problem by relating it to the specific social formation in which the image of masculinity and femininity is constructed and reconstructed. Following such line of reasoning this essay will examine the nature of gender bias in the Bengali language of Bangladesh, holding the conviction that as a product of social reality language reflects the socio-cultural behaviour of the community who speaks it. This essay will also attempt to shed some light on the processes through which gender based language differences produce actual consequences for women, who become exposed to low self-esteem, depression and systematic exclusion from public discourse. 5. “Marriage in China as an expression of a changing society”, Elisabetta Rosado David, University of Porto, Portugal, and Università Ca’Foscari, Venezia, Italy. In 29 April 2001, the new Marriage Law was promulgated in China. The first law on marriage was proclaimed in 1950 with the objective of freeing women from the feudal matrimonial system. With the second law, in 1981, values and conditions that had been distorted by the Cultural Revolution were recovered. Twenty years later, a new reform was started, intending to update marriage in the view of the social and cultural changes that occurred with Deng Xiaoping’s “open policy”. But the legal reform is only the starting point for this case-study. The rituals that are followed in the wedding ceremony are often hard to understand and very difficult to standardize, especially because China is a vast country, densely populated and characterized by several ethnic minorities. Two key words emerge from this issue: syncretism and continuity. On this basis, we can understand tradition in a better way, and analyse whether or not marriage, as every social manifestation, has evolved in harmony with Chinese culture. 6. “The Other Woman in the Portuguese Colonial Empire: The Case of Portuguese India”, Maria de Deus Manso, University of Évora, Portugal. This essay researches the social, cultural and symbolic history of local women in the Portuguese Indian colonial enclaves. The normative Portuguese overseas history has not paid any attention to the “indigenous” female populations in colonial Portuguese territories, albeit the large social importance of these social segments largely used in matrimonial and even catholic missionary strategies. The first attempt to open fresh windows in the history of this new field was the publication of Charles Boxer’s referential study about Women in lberian Overseas Expansion, edited in Portugal only after the Revolution of 1975. After this research we can only quote some other fragmentary efforts. In fact, research about the social, cultural, religious, political and symbolic situation of women in the Portuguese colonial territories, from the XVI to the XX century, is still a minor historiographic field. In this essay we discuss this problem and we study colonial representations of women in the Portuguese Indian enclaves, mainly in the territory of Goa, using case studies methodologies. 7. “Heading East this Time: Critical Readings on Gender in Southeast Asia”, Clara Sarmento, Polytechnic Institute of Porto, Portugal. This essay intends to discuss some critical readings of fictional and theoretical texts on gender condition in Southeast Asian countries. Nowadays, many texts about women in Southeast Asia apply concepts of power in unusual areas. Traditional forms of gender hegemony have been replaced by other powerful, if somewhat more covert, forms. We will discuss some universal values concerning conventional female roles as well as the strategies used to recognize women in political fields traditionally characterized by male dominance. Female empowerment will mean different things at different times in history, as a result of culture, local geography and individual circumstances. Empowerment needs to be perceived as an individual attitude, but it also has to be facilitated at the macro­level by society and the State. Gender is very much at the heart of all these dynamics, strongly related to specificities of historical, cultural, ethnic and class situatedness, requiring an interdisciplinary transnational approach.

A perspetiva dos terapeutas ocupacionais sobre os seu trabalho enquanto elemento da equipa escolar

Atualmente, as escolas regem o seu funcionamento de acordo com o paradigma inclusivo, uma vez que a legislação em vigor assim o indica. A mudança entre o paradigma segregador (em que a crianças com problemáticas diversas eram ensinadas separadamente) para o paradigma inclusivo (em que todas as crianças deveriam usufruir de uma educação igualitária) surgiu decorrente das progressivas mudanças a nível social que vieram encorajar a aceitação da diferença e o reconhecimento da diversidade (Correia M. , 2008). Consequentemente, os serviços e apoios prestados pelas equipas escolares também sofreram alterações, passando a considerar cada criança como um individuo com necessidades únicas, às quais o contexto deve proporcionar um ensino igualitário e de qualidade (Pape, Ryba, & Case-Smith, 2004; Jenkinson, Hyde, & Ahmad, 2008). Nestas equipas escolares, encontra-se presente como elemento ativo, o terapeuta ocupacional. Assim, o presente estudo pretende conhecer a perspetiva dos terapeutas ocupacionais a trabalhar nas equipas escolares em contexto inclusivo quanto às experiências de colaboração com a equipa que intervém com a criança. Esteve na sua base uma metodologia qualitativa, em que amostra é constituída por cinco terapeutas ocupacionais, a trabalhar em escolas e jardins-de-infância contemplando a zona norte do país. Foi utilizado o método de amostragem estratégica, de forma a contemplar várias realidades. Como instrumento de recolha de dados foi utilizada a entrevista semiestruturada, com posterior análise de conteúdo para interpretação e discussão dos dados obtidos. Os principais resultados indicam que os terapeutas descrevem o seu papel com base na passagem de estratégias e promoção da autonomia. Reconhecem, ainda, vários benefícios decorrentes do trabalho em equipa de forma colaborativa. Contudo, relatam as experiências de colaboração, maioritariamente pela negativa, tendo por base as barreiras e desafios que encontram para efetivar este processo. Deixam, também, sugestões de aspetos a melhorar, embora não contemplem todas as barreiras/desafios sentidos na colaboração com a restante equipa escolar.

Adaptive tool for automatic data collection of real electricity markets

The study of electricity markets operation has been gaining an increasing importance in last years, as result of the new challenges that the electricity markets restructuring produced. This restructuring increased the competitiveness of the market, but with it its complexity. The growing complexity and unpredictability of the market’s evolution consequently increases the decision making difficulty. Therefore, the intervenient entities are forced to rethink their behaviour and market strategies. Currently, lots of information concerning electricity markets is available. These data, concerning innumerous regards of electricity markets operation, is accessible free of charge, and it is essential for understanding and suitably modelling electricity markets. This paper proposes a tool which is able to handle, store and dynamically update data. The development of the proposed tool is expected to be of great importance to improve the comprehension of electricity markets and the interactions among the involved entities.

Prevalência e análise de factores de risco de problemas neuro-músculo-esqueléticos em músicos

Introdução: A prevalência de problemas neuro-músculo-esqueléticos nos músicos é elevada, pois estão sujeitos a grande exigência física e psicológica. Objectivos: Analisar a prevalência de factores de risco em marimbistas e caracterizar a postura da coluna vertebral na situação de tocar. Métodos: A recolha das situações de risco foi realizada através de um questionário e a postura da coluna, numa amostra de 10 marimbistas, analisada pelo SAPO. Resultados: As posturas entre as situações sem tocar e a tocar um excerto difícil são significativamente diferentes. Conclusão: Os marimbistas têm uma grande prevalência de sintomas sendo necessários programas de educação e promoção de saúde.

Online versus postal questionnaires: a comparison between two data collection methods

Objectives : The purpose of this article is to find out differences between surveys using paper and online questionnaires. The author has deep knowledge in the case of questions concerning opinions in the development of survey based research, e.g. the limits of postal and online questionnaires. Methods : In the physician studies carried out in 1995 (doctors graduated in 1982-1991), 2000 (doctors graduated in 1982-1996), 2005 (doctors graduated in 1982-2001), 2011 (doctors graduated in 1977-2006) and 457 family doctors in 2000, were used paper and online questionnaires. The response rates were 64%, 68%, 64%, 49% and 73%, respectively. Results : The results of the physician studies showed that there were differences between methods. These differences were connected with using paper-based questionnaire and online questionnaire and response rate. The online-based survey gave a lower response rate than the postal survey. The major advantages of online survey were short response time; very low financial resource needs and data were directly loaded in the data analysis software, thus saved time and resources associated with the data entry process. Conclusions : The current article helps researchers with planning the study design and choosing of the right data collection method.

Ant colony system based approach to single machine scheduling problems: weighted tardiness scheduling problem

The paper introduces an approach to solve the problem of generating a sequence of jobs that minimizes the total weighted tardiness for a set of jobs to be processed in a single machine. An Ant Colony System based algorithm is validated with benchmark problems available in the OR library. The obtained results were compared with the best available results and were found to be nearer to the optimal. The obtained computational results allowed concluding on their efficiency and effectiveness.

Inexact restoration approaches to solve mathematical program with complementarity constraints

Mathematical Program with Complementarity Constraints (MPCC) finds applica- tion in many fields. As the complementarity constraints fail the standard Linear In- dependence Constraint Qualification (LICQ) or the Mangasarian-Fromovitz constraint qualification (MFCQ), at any feasible point, the nonlinear programming theory may not be directly applied to MPCC. However, the MPCC can be reformulated as NLP problem and solved by nonlinear programming techniques. One of them, the Inexact Restoration (IR) approach, performs two independent phases in each iteration - the feasibility and the optimality phases. This work presents two versions of an IR algorithm to solve MPCC. In the feasibility phase two strategies were implemented, depending on the constraints features. One gives more importance to the complementarity constraints, while the other considers the priority of equality and inequality constraints neglecting the complementarity ones. The optimality phase uses the same approach for both algorithm versions. The algorithms were implemented in MATLAB and the test problems are from MACMPEC collection.

Derivative-free optimization and filter methods to solve nonlinear constrained problems

In real optimization problems, usually the analytical expression of the objective function is not known, nor its derivatives, or they are complex. In these cases it becomes essential to use optimization methods where the calculation of the derivatives, or the verification of their existence, is not necessary: the Direct Search Methods or Derivative-free Methods are one solution. When the problem has constraints, penalty functions are often used. Unfortunately the choice of the penalty parameters is, frequently, very difficult, because most strategies for choosing it are heuristics strategies. As an alternative to penalty function appeared the filter methods. A filter algorithm introduces a function that aggregates the constrained violations and constructs a biobjective problem. In this problem the step is accepted if it either reduces the objective function or the constrained violation. This implies that the filter methods are less parameter dependent than a penalty function. In this work, we present a new direct search method, based on simplex methods, for general constrained optimization that combines the features of the simplex method and filter methods. This method does not compute or approximate any derivatives, penalty constants or Lagrange multipliers. The basic idea of simplex filter algorithm is to construct an initial simplex and use the simplex to drive the search. We illustrate the behavior of our algorithm through some examples. The proposed methods were implemented in Java.

Análise do padrão de recrutamento abdominal em crianças com dor espinal, entre os 7 e os 10 anos, durante a flexão rápida do ombro, com recurso a electromiografia de superfície

Estudos epidemiológicos dão conta de um aumento exponencial de crianças que reportam dor espinal nalgum momento da vida, tendo-se vindo a atribuir a esta um interesse crescente. Nesta sequência têm vindo a ser estudados factores de risco para a dor espinal, cujo leque tem aumentado devido ao contexto social em que nos inserimos. Um dos aspectos sobre o qual recai a nossa investigação relaciona-se com a activação muscular nas crianças com dor espinal, aspecto ainda não estudado nesta população em particular. A literatura indica que, na população adulta sem dor espinal existe pré-activação muscular abdominal aquando da flexão rápida do ombro e a maioria dos estudos revistos apontam para a inexistência da mesma nos indivíduos com dor espinal. Apesar disso, não existem evidências que o demonstrem em crianças pelo que o nosso estudo pretende descrever o padrão de recrutamento abdominal utilizado pelas crianças com dor espinal, aquando do movimento rápido do membro superior bem como analisar os principais factores de risco. Para recolha dos dados utilizou-se o Questionário de Dor Adaptado, para rastrear a amostra com dor espinal e descrever a sua história ocupacional, e Electromiografia de Superfície, com utilização do acelerómetro, que nos deu conta do início do movimento. Os dados obtidos neste estudo indicam que existe activação muscular abdominal, no momento imediatamente prévio ao início do movimento de flexão do ombro, em quase toda a musculatura abdominal, em crianças com dor espinal excepto em dois participantes que revelam um atraso na activação do músculo oblíquo interno direito e num outro que revela um atraso na activação do recto abdominal. Um dos participantes apresentou pré-activação em todos os músculos estudados. Isto provavelmente encontra-se relacionado com o processo de maturação e indica que possivelmente esta é uma boa altura para prevenir a evolução da dor e possíveis futuros problemas ocupacionais daí advindos, como faltar ao trabalho e ter uma baixa participação social. Estudos futuros devem debruçar-se sobre esta temática e sobre a delineação de novos programas, desta feita de prevenção, de modo a evitar problemas ocupacionais na idade adulta, já que crianças com dor são mais susceptíveis de se tornarem adultos com dor crónica.

Reutilização das águas de tingimento utilizando a Nanofiltração

Este trabalho na área dos processos físicos de separação por membranas, nomeadamente, a nanofiltração (NF), tem como objectivo principal a recuperação dos efluentes resultantes das águas da 3ª lavagem utilizadas na operação de tingimento de fibras de algodão, com corantes reactivos. Estão inerentes as problemáticas: da escassez da água como matéria-prima na vertente de água potável; da diminuição de efluentes que necessitam de tratamentos devido à sua carga poluente; da recuperação sempre que seja viável dos produtos químicos adicionados nesta fase de tratamento das fibras de algodão e por último e não menos importante, da energia contida nestes efluentes que vão para o esgoto a temperaturas na ordem dos 50 ºC. A metodologia adoptada na realização deste trabalho consistiu, inicialmente num estudo sobre os trabalhos realizados até hoje nesta área, seguindo-se a recolha dos efluentes na empresa ―Estamparia Têxtil Adalberto Pinto da Silva, S.A.‖ (ETAPS) e posterior estudo da recuperação dos efluentes em causa pelo processo de NF utilizando a membrana NF270-2540 da empresa FILMTEC. Os efluentes estudados no presente trabalho continham corantes reactivos sendo um corante azul-claro (CAC) de composição (Amarelo Bril Remazol GL 150% + Azul Brilhante Remazol BB 133% + Azul Turqueza Remazol G) e o outro corante azul-marinho (CAM) de composição (Preto Remazol B 133% + Vermelho Remazol RGB + Amarelo Ouro Remazol RGB). Estes estudos de recuperação compreenderam basicamente 3 fases: caracterização do efluente recolhido na empresa; tratamento desse efluente utilizando uma instalação piloto de NF de fluxo cruzado ou também conhecido por membrana de fluxo tangencial instalado no Laboratório de Tecnologia (LT) do Instituto Superior de Engenharia do Porto (ISEP), e caracterização dos permeados e dos rejeitados obtidos. A análise de resultados do presente trabalho permitiu concluir ser possível a recuperação e reutilização das 3ª águas de lavagem do processo de tingimento quando tratadas pelo processo de NF a pressões de operação de 6 bar. Nestas circunstâncias os permeados obtidos (tanto no efluente com corante azul-claro como no efluente com corante azul-marinho) apresentam valores, em todos os parâmetros estudados, significativamente abaixo dos valores limites recomendáveis para uma água de abastecimento na Industria Têxtil (IT). Salienta-se reduções mais expressivas nos permeados do corante CAM, com vários parâmetros a sofrerem reduções no intervalo de 98 a 100%, nomeadamente, na cor, turvação, CQO, dureza total, alumínio e manganês. Os resultados obtidos para as pressões de operação de 4 e 8 bar mostram alguns parâmetros com valores acima dos recomendados para uma água de abastecimento na Indústria Têxtil, nomeadamente a cor no corante CAC quando se opera a 4 bar e no corante CAM quando se opera a 8 bar e os sulfatos e ferro no CAM à pressão de 4 bar. Estes resultados mostram ser possível a reutilização da água na própria instalação industrial, trazendo um benefício económico e ambiental, pela redução no consumo de água fresca e energia, além da redução do volume de efluentes que necessitam ser tratados, estando na mesma linha de pensamento de Gross et al (1999), que refere que o uso de membranas para o tratamento de efluentes do processo de tingimento tem como principal objectivo a viabilidade económica, a redução no consumo de água, de sais, de corantes e energia, bem como, a redução do volume de efluentes a ser tratado.

Modelo de otimização do espaço livre de armazenagem num silo de cereais

Este trabalho baseia-se num caso de estudo real de planeamento de operações de armazenagem num silo rural de cereais, e enquadra-se nos problemas de planeamento e programação de armazéns. Os programadores deparam-se diariamente com o problema de arranjar a melhor solução de transferência entre células de armazenagem, tentando maximizar o número de células vazias, por forma a ter maior capacidade para receber novos lotes, respeitando as restrições de receção e expedição, e as restrições de capacidade das linhas de transporte. Foi desenvolvido um modelo matemático de programação linear inteira mista e uma aplicação em Excel, com recurso ao VBA, para a sua implementação. Esta implementação abrangeu todo o processo relativo à atividade em causa, isto é, vai desde a recolha de dados, seu tratamento e análise, até à solução final de distribuição dos vários produtos pelas várias células. Os resultados obtidos mostram que o modelo otimiza o número de células vazias, tendo em conta os produtos que estão armazenados mais os que estão para ser rececionados e expedidos, em tempo computacional inferior a 60 segundos, constituindo, assim, uma importante mais valia para a empresa em causa.

Web-based application programming interface to solve nonlinear optimization problems

Nonlinear Optimization Problems are usual in many engineering fields. Due to its characteristics the objective function of some problems might not be differentiable or its derivatives have complex expressions. There are even cases where an analytical expression of the objective function might not be possible to determine either due to its complexity or its cost (monetary, computational, time, ...). In these cases Nonlinear Optimization methods must be used. An API, including several methods and algorithms to solve constrained and unconstrained optimization problems was implemented. This API can be accessed not only as traditionally, by installing it on the developer and/or user computer, but it can also be accessed remotely using Web Services. As long as there is a network connection to the server where the API is installed, applications always access to the latest API version. Also an Web-based application, using the proposed API, was developed. This application is to be used by users that do not want to integrate methods in applications, and simply want to have a tool to solve Nonlinear Optimization Problems.