[PDF] Top 20 Integer programming with a fixed number of variables

... It was conjectured [5], [10] that for any fixed value of « there exists a polynomial algorithm for the solution of the integer linear programming problem.. In the present paper we prove [r] ... See full document

... the number 𝑛 of the participants, one can solve an integer programming on 2 𝑛 variables to construct an optimal multiple assignment with threshold schemes for general access ...the ... See full document

... Let us now describe this computation in more detail. Consider a simple abstract example, a Σ 3 -IP instance with 3 variables, ψ : ∃x. ∀y. ∃z : A · x ≥ c where x = (x, y, z). Let L 0 ⊆ N 3 be the set of all models ... See full document

... When considering the choice of algorithm it must also be remembered that MIPs have previously been defined for our purposes as having a large LP component and relatively few integer entities (e.g. binary ... See full document

... random variables and/or fuzzy ...inexact programming methods have been developed and applied increasingly to waste management problems under ...inexact programming techniques in supporting waste ... See full document

... Uncertainty-based approach in optimizing, open pit mine design and planning has been developed since 1990s. Ravenscroft [1] discussed risk analysis in mine production planning. This method can only show the impact of ... See full document

... an integer programming model for solving ...prime number factorizations for product ...different integer programming techniques, such as Either-Or con- straints, converting absolute ... See full document

... mixed-integer programming, in which the objective function contains both capital cost represented in its discrete form and the transmission loss cost in a linear ...large number of decision ... See full document

... Integer Programming, a branch of mathematical programming, is a tool for ...ger programming is finding values for a set of variables so as to minimize or maximize an objective function ... See full document

... small number of smaller dimensional ...In fixed dimension one can even count the number of feasible solutions in polynomial time: see the papers of Barvinok [6], and Dyer and Kannan ... See full document

... finite number of iterations, the method either yields an integer or mixed-integer point in the polytope or proves no such point ...all integer or mixed-integer points in a polytope and ... See full document

... linear programming formulations for two-group MultiODA models require estimation of the value of a parameter, M, commonly defined as “a prohibitively large ... See full document

... Several other authors such as Lally et al. (1997) have made a model of sequencing a continuous casting operation in order to minimize costs, Mohanty and Singh (1998) using a hierarchical approach to planning system steel ... See full document

... optimum number of cycles for the procurement of input items has been derived to obtain the initial solution, and its integer optimum values have also been obtained using method of integer ... See full document

... comprehensive integer linear programming ...mixed integer programming approach to provide a group layout of CMS concerning the production planning ...mixed integer nonlinear ... See full document

... difficulty of finding such characteristics depends on the primitive. For example, the wide-trail design strategy [7] incorporated by AES provides lower bounds on the minimum number of active S-boxes in a linear ... See full document

... linear programming has experienced a remarkable growth and is used in many applications, which would have been thought to be too complex and enormous to deal ...linear programming) and the advances made in ... See full document

... goal programming considers all goals simultaneously within a composite objective function comprising the sum of all deviational variables of the goals from their ...deviational variables in an ... See full document

... maximum number of projects by a member of the staff was seven, and the minimum was ...an integer 4 to their first choice, 3 to their second choice, ... See full document

... Correspondence: wpliyh@163.com Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450046, P.R.. China Full list of author information is[r] ... See full document