Nonlinear Programming in Telecommunications

Migdalas, Athanasios

doi:10.1007/978-0-387-30165-5_2

Cited by 4 publications

(3 citation statements)

References 74 publications

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“…The popularity of this technique is due in part to its ability to exploit special constraint structures such as network structures and in part to the fact that it decomposes non separable problems over Cartesian product, see e.g. Migdalas (2006) and the references therein.…”

Section: The Frank-wolfe Algorithmmentioning

confidence: 99%

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Convex optimization problems in supply chain planning and their solution by a column generation method based on the Frank Wolfe method

Karakitsiou

Migdalas

2015

Oper Res Int J

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Many problems in supply chain optimization concern the minimization of a differentiable convex objective function subject to a set of linear constraints. The aim of this work is to present a number of such problems and to propose an efficient method for their solution. The proposed method is based on improvements of the well known Frank-Wolfe algorithm. The computational results of the proposed algorithm demonstrate its effectiveness and efficiency.

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Section: The Frank-wolfe Algorithmmentioning

confidence: 99%

“…Several convergence results exist for the algorithm in the form given above as well as for several of its specializations. For more details as well as for a demonstration of the global convergence of the approach to a global minimum point of P1 see Migdalas (2006).…”

Section: The Frank-wolfe Algorithmmentioning

confidence: 99%

Convex optimization problems in supply chain planning and their solution by a column generation method based on the Frank Wolfe method

Karakitsiou

Migdalas

2015

Oper Res Int J

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“…For an excellent overview of optimization problems, including network design problems, faced in the context of telecommunications (and transportation), see Migdalas (2006). In this paper, we focus on the design of sustainable supply chain networks and the variational inequality formulation that is particularly suited for analysis and computations.…”

Section: Theorem 4: Convergencementioning

confidence: 99%

Sustainable supply chain network design: a multicriteria perspective

Nagurney

2010

International Journal of Sustainable Engineering

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In this paper we develop a rigorous modeling and analytical framework for the design of sustainable supply chain networks. We consider a firm that is engaged in determining the capacities of its various supply chain activities, that is, the manufacturing, storage, and distribution of the product to the demand locations. The firm is faced with both capital costs associated with constructing the link capacities as well as the links' operational costs. Moreover, the firm is aware of the emissions generated associated with the alternative manufacturing plants, storage facilities, and modes of transportation/shipment, which may have different levels of emissions due, for example, to distinct technologies of, respectively, production, storage, and transportation. The firm is assumed to be a multicriteria decisionmaker who seeks to not only minimize the total costs associated with design/construction and operation, but also to minimize the emissions generated, with an appropriate weight, which reflects the price of the emissions, associated with the various supply chain network activities. We provide both the network optimization modeling framework and an algorithm, which is then applied to compute solutions to a spectrum of numerical sustainable supply chain design examples in order to illustrate our approach.

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Service Operations: Behavioral Operational Research in British Telecommunications

Malpass

2016

Behavioral Operational Research

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Nonlinear Programming in Telecommunications

Cited by 4 publications

References 74 publications

Convex optimization problems in supply chain planning and their solution by a column generation method based on the Frank Wolfe method

Convex optimization problems in supply chain planning and their solution by a column generation method based on the Frank Wolfe method

Sustainable supply chain network design: a multicriteria perspective

Service Operations: Behavioral Operational Research in British Telecommunications

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