Simultaneous determination of capacities and load in parallel M/M/1 queues |
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| Institution: | 1. Universidade Federal da Paraíba, Departamento de Engenharia de Produção, Centro de Tecnologia, Campus I, Cidade Universitária, João Pessoa-PB, 58051-970, Brazil;2. Universidade Federal da Paraíba, Departamento de Sistemas de Computação, Centro de Informática, Mangabeira, Rua dos Escoteiros s/n, CEP 58059-900, João Pessoa, Brazil;3. Universidade Federal Fluminense, Departamento de Engenharia de Produção, Rua Passo da Pátria 156, Bloco E - 4° andar, São Domingos, Niterói-RJ, 24210-240, Brazil |
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| Abstract: | In this paper, we address an analytical model to simultaneously determine the processing capacity and load assigned to each processor in a multiple processor configuration within the framework of M/M/1 queues. A queueing optimization model is formulated as a nonlinear programming problem having linear constraints. We then propose an optimization algorithm that utilizes the special structure of the problem. To illustrate the applicability of our method, a small sample system has been solved. |
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