id: 05553272
dt: a
an: 05553272
au: Gabrel, Virginie; Murat, Cecile; Remli, Nabila
ti: Best and worst optimum for linear programs with interval right hand sides.
so: Le Thi, Hoai An (ed.) et al., Modelling, computation and optimization in
    information systems and management sciences. Second international
    conference MCO 2008, Metz, France - Luxembourg, September 8‒10, 2008.
    Proceedings. Berlin: Springer (ISBN 978-3-540-87476-8/pbk).
    Communications in Computer and Information Science 14, 126-134 (2008).
py: 2008
pu: Berlin: Springer
la: EN
cc: 
ut: 
ci: 
li: doi:10.1007/978-3-540-87477-5_14
ab: Summary: In optimization, it is used to deal with uncertain and inaccurate
    factors which make difficult the assignment of a single plausible value
    to each model parameters. Two approaches are possible: in the first
    one, a single nominal value is assigned to each parameter, the
    corresponding optimal solution is computed, then the interval in which
    each parameter can vary in order to preserve optimality solution is
    determined; the second approach consists in taking into account in the
    model to optimize, the possible variations of each parameter. In
    mathematical programming, the first approach is known as sensitivity
    analysis. For the second approach, stochastic optimization may be
    applied for some problems in which parameters value can be described by
    probability laws. When it is not possible nor relevant to associate
    probability laws to parameters, another way amounts to assign a set of
    possible values to each parameter. Two models may be considered: in the
    first one, a finite set of values is assigned to each uncertain model
    coefficient; in the second one, each uncertain model coefficient is
    associated with an interval number. In this paper, we only consider
    this second model called interval linear programming.
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