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Approximate solutions of an integer linear programming problem with resource variations

  • Optimization Of Complex Systems
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Modelling and Optimization of Complex System

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 18))

Abstract

The problem analysed in this work is a particular parametric integer linear programming problem (PILP) and more precisely the problem to determine the behaviour of the optimal solution of an integer linear programming problem (ILP) when a resource varies in a given interval. The PILP is tackled with the following hypotheses:

  • -the ILP problem is solved via a classical branch and bound algorithm, by far the most common approach in integer linear programming;

  • -the interest is concentrated on approximate solutions of the PILP and on the set of ILP problems that can be usefully approached with approximate techniques.

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Guri Ivanovich Marchuk

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© 1979 Springer-Verlag

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Lucertini, M., Spaccamela, A.M. (1979). Approximate solutions of an integer linear programming problem with resource variations. In: Marchuk, G.I. (eds) Modelling and Optimization of Complex System. Lecture Notes in Control and Information Sciences, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004165

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  • DOI: https://doi.org/10.1007/BFb0004165

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09612-2

  • Online ISBN: 978-3-540-34781-1

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