Management science, ISSN 1526-5501, 1981, Volume 27, Issue 1, pp. 1 - 18

One of the most computationally useful ideas of the 1970s is the observation that many hard integer programming problems can be viewed as easy problems...

programming: integer algorithm branch and bound | programming: integer algorithms | programming: integer algorithms, heuristic | Integer programming | Algorithms | Optimal solutions | Heuristics | Simplex method | Discrete mathematics | Linear programming | Mathematics | Scheduling | Lagrangian function | MANAGEMENT | programming: integer algorithms; programming: integer algorithm branch and bound; programming: integer algorithms; heuristic

programming: integer algorithm branch and bound | programming: integer algorithms | programming: integer algorithms, heuristic | Integer programming | Algorithms | Optimal solutions | Heuristics | Simplex method | Discrete mathematics | Linear programming | Mathematics | Scheduling | Lagrangian function | MANAGEMENT | programming: integer algorithms; programming: integer algorithm branch and bound; programming: integer algorithms; heuristic

Journal Article

2.
Undecidability of satisfiability of expansions of FO [ < ] over words with a FO [ + ]-definable set

Computability, ISSN 2211-3568, 01/2017, Volume 6, Issue 4, p. 333

Two new characterizations of FO [ < , mod ]-definable sets, i.e. sets of integers definable in first-order logic with the order relation and modular relations,...

Integers

Integers

Journal Article

Management Science, ISSN 0025-1909, 12/2004, Volume 50, Issue Supplement 12, pp. 1861 - 1871

( This article originally appeared in Management Science, January 1981, Volume 27, Number 1, pp. 118, published by The Institute of Management Sciences. ) One...

programming: integer algorithm branch and bound | programming: integer algorithms | programming: integer algorithms, heuristic | Integer programming | Integers | Algorithms | Management science | Optimal solutions | Heuristics | Discrete mathematics | Mathematics | Scheduling | Lagrangian function | Programming: integer algorithm branch and bound | Programming: integer algorithms, heuristic | Programming: integer algorithms | programming: integer algorithms; programming: integer algorithm branch and bound; programming: integer algorithms; heuristic | Usage | Management | Lagrangian functions

programming: integer algorithm branch and bound | programming: integer algorithms | programming: integer algorithms, heuristic | Integer programming | Integers | Algorithms | Management science | Optimal solutions | Heuristics | Discrete mathematics | Mathematics | Scheduling | Lagrangian function | Programming: integer algorithm branch and bound | Programming: integer algorithms, heuristic | Programming: integer algorithms | programming: integer algorithms; programming: integer algorithm branch and bound; programming: integer algorithms; heuristic | Usage | Management | Lagrangian functions

Journal Article

AIChE Journal, ISSN 0001-1541, 11/2013, Volume 59, Issue 11, pp. 4255 - 4272

Mixed‐integer linear fractional program (MILFP) is a class of mixed‐integer nonlinear programs (MINLP) where the objective function is the ratio of two linear...

mixed‐integer nonlinear programs | mixed‐integer linear programs | reformulation | mixed‐integer fractional programming | linearization | Mixed-integer fractional programming | Mixed-integer linear programs | Mixed-integer nonlinear programs | Reformulation | Linearization | BRANCH | NONLINEAR PROGRAMS | BATCH PROCESSES | PERFORMANCE | mixed-integer linear programs | mixed-integer nonlinear programs | ENGINEERING, CHEMICAL | mixed-integer fractional programming | MODELS | FORMULATIONS | BOUND ALGORITHM | MINLP OPTIMIZATION | CONTINUOUS-TIME | MULTIPURPOSE PLANTS | Methods | Algorithms

mixed‐integer nonlinear programs | mixed‐integer linear programs | reformulation | mixed‐integer fractional programming | linearization | Mixed-integer fractional programming | Mixed-integer linear programs | Mixed-integer nonlinear programs | Reformulation | Linearization | BRANCH | NONLINEAR PROGRAMS | BATCH PROCESSES | PERFORMANCE | mixed-integer linear programs | mixed-integer nonlinear programs | ENGINEERING, CHEMICAL | mixed-integer fractional programming | MODELS | FORMULATIONS | BOUND ALGORITHM | MINLP OPTIMIZATION | CONTINUOUS-TIME | MULTIPURPOSE PLANTS | Methods | Algorithms

Journal Article

AIP Conference Proceedings, ISSN 0094-243X, 11/2018, Volume 2037, Issue 1

The purpose of the this study is to introduce the sequence space lp(B(r,s),E) = { x=(xn)∈ω: ∑n=1∞| r.xmin En+s.xmin En+1 |p<∞ }, where E = (En) is a partition...

Integers

Integers

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 12

In the present paper, we introduce a new modification of Szász-Mirakyan operators based on ( p , q ) $(p, q)$ -integers and investigate their approximation...

( p , q ) $(p, q)$ -integers | Mathematics | Voronovskaya theorem | q -integers | 41A25 | 41A36 | weighted approximation | q -Szász-Mirakyan operators | Analysis | 41A10 | Mathematics, general | Applications of Mathematics | ( p , q ) $(p, q)$ -Szász-Mirakyan operators | q-Szász-Mirakyan operators | (p, q) -Szász-Mirakyan operators | q-integers | (p, q) -integers | MATHEMATICS | Q)-ANALOG | MATHEMATICS, APPLIED | SCHURER OPERATORS | q-Szasz-Mirakyan operators | THEOREMS | (p,q)-integers | (p,q)-Szasz-Mirakyan operators | Q)-INTEGERS | Integers | Operators | Approximation | Mathematical analysis

( p , q ) $(p, q)$ -integers | Mathematics | Voronovskaya theorem | q -integers | 41A25 | 41A36 | weighted approximation | q -Szász-Mirakyan operators | Analysis | 41A10 | Mathematics, general | Applications of Mathematics | ( p , q ) $(p, q)$ -Szász-Mirakyan operators | q-Szász-Mirakyan operators | (p, q) -Szász-Mirakyan operators | q-integers | (p, q) -integers | MATHEMATICS | Q)-ANALOG | MATHEMATICS, APPLIED | SCHURER OPERATORS | q-Szasz-Mirakyan operators | THEOREMS | (p,q)-integers | (p,q)-Szasz-Mirakyan operators | Q)-INTEGERS | Integers | Operators | Approximation | Mathematical analysis

Journal Article

Combinatorica, ISSN 0209-9683, 10/2018, Volume 38, Issue 5, pp. 1175 - 1203

Journal Article

Acta mathematica Hungarica, ISSN 0236-5294, 06/2019, Volume 158, Issue 1, pp. 100 - 108

ErdAs and Odlyzko proved that odd integers k such that k2.sup.n +1 k 2 n + 1 is prime for some positive integer n have a positive lower density. We prove that...

Journal Article

2013, Student mathematical library, ISBN 9780821891766, Volume 67, xiii, 298

Book

Journal of inequalities and applications, ISSN 1029-242X, 2015, Volume 2015, Issue 1, pp. 1 - 12

Recently, Mursaleen et al. (On ( p , q ) $(p,q)$ -analogue of Bernstein operators, arXiv:1503.07404 ) introduced and studied the ( p , q ) $(p,q)$ -analog of...

( p , q ) $(p,q)$ -Bernstein operator | Mathematics | q -Bernstein-Schurer operator | q -integers | Bernstein operator | 41A25 | 41A36 | ( p , q ) $(p,q)$ -Bernstein-Schurer operator | ( p , q ) $(p,q)$ -integers | Analysis | 41A10 | Mathematics, general | Applications of Mathematics | modulus of continuity | (p,q)-Bernstein operator | (p,q)-Bernstein-Schurer operator | q-Bernstein-Schurer operator | (p,q)-integers | q-integers | (p, q)-Bernstein operator | MATHEMATICS | Q)-ANALOG | MATHEMATICS, APPLIED | (p, q)-Bernstein-Schurer operator | STATISTICAL APPROXIMATION | (p, q)-integers | BASKAKOV | Operators | Theorems | Approximation | Mathematical analysis | Inequalities | Texts | Continuity | Convergence

( p , q ) $(p,q)$ -Bernstein operator | Mathematics | q -Bernstein-Schurer operator | q -integers | Bernstein operator | 41A25 | 41A36 | ( p , q ) $(p,q)$ -Bernstein-Schurer operator | ( p , q ) $(p,q)$ -integers | Analysis | 41A10 | Mathematics, general | Applications of Mathematics | modulus of continuity | (p,q)-Bernstein operator | (p,q)-Bernstein-Schurer operator | q-Bernstein-Schurer operator | (p,q)-integers | q-integers | (p, q)-Bernstein operator | MATHEMATICS | Q)-ANALOG | MATHEMATICS, APPLIED | (p, q)-Bernstein-Schurer operator | STATISTICAL APPROXIMATION | (p, q)-integers | BASKAKOV | Operators | Theorems | Approximation | Mathematical analysis | Inequalities | Texts | Continuity | Convergence

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 08/2019, Volume 372, Issue 8, pp. 5825 - 5850

We show that, for any square-free natural number n and any global field K with ({\rm char}(K), n)=1 containing a primitive nth root of unity, the pairs...

MATHEMATICS | NUMBERS | INTEGERS

MATHEMATICS | NUMBERS | INTEGERS

Journal Article

Mathematical gazette, ISSN 0025-5572, 07/2020, Volume 104, Issue 560, pp. 193 - 208

Heronian triangles are triangles with integer sides and area. In [1], a classical result about squares in arithmetic progression was obtained by proving that...

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 03/2019, Volume 69, Issue 2, pp. 321 - 326

If a, b, c are non-zero integers, we considerer the following problem: for which values of n the line ax + by + cz = 0 may be tangent to the curve xn + yn =...

Integers

Integers

Journal Article

14.
Full Text
Solving Stochastic and Bilevel Mixed-Integer Programs via a Generalized Value Function

Operations research, ISSN 1526-5463, 2019, Volume 67, Issue 6, pp. 1659 - 1677

We introduce a generalized value function of a mixed-integer program, which is simultaneously parameterized by its objective and right-hand side. We describe...

two-stage mixed-integer programming | multifollower bilevel programming | stochastic programming | mixed-integer programming | programming: integer; programming, stochastic | bilevel programming | Optimization | global branch and bound | BRANCH | CUT | MANAGEMENT | ALGORITHM | DECOMPOSITION | CONSTRUCTIVE CHARACTERIZATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | DISCRETE | SENSITIVITY-ANALYSIS | FRAMEWORK | Usage | Algorithms

two-stage mixed-integer programming | multifollower bilevel programming | stochastic programming | mixed-integer programming | programming: integer; programming, stochastic | bilevel programming | Optimization | global branch and bound | BRANCH | CUT | MANAGEMENT | ALGORITHM | DECOMPOSITION | CONSTRUCTIVE CHARACTERIZATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | DISCRETE | SENSITIVITY-ANALYSIS | FRAMEWORK | Usage | Algorithms

Journal Article

15.
Full Text
Global optimization of bilinear programs with a multiparametric disaggregation technique

Journal of global optimization, ISSN 1573-2916, 2013, Volume 57, Issue 4, pp. 1039 - 1063

In this paper, we present the derivation of the multiparametric disaggregation technique (MDT) by Teles et al. (J. Glob. Optim., 2011) for solving nonconvex...

Global optimization | Quadratic optimization | Operations Research/Decision Theory | Disjunctive programming | Mixed integer nonlinear programming | Mixed integer linear programming | Computer Science, general | Optimization | Economics / Management Science | Real Functions | MIXED-INTEGER | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | RELAXATIONS | ALGORITHM | WATER NETWORKS | HIERARCHY | Mathematical optimization | Methods | Algorithms | Studies | Linear programming | Formulations | Programming | Solvers | Derivation | Gaps | Linearization

Global optimization | Quadratic optimization | Operations Research/Decision Theory | Disjunctive programming | Mixed integer nonlinear programming | Mixed integer linear programming | Computer Science, general | Optimization | Economics / Management Science | Real Functions | MIXED-INTEGER | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | RELAXATIONS | ALGORITHM | WATER NETWORKS | HIERARCHY | Mathematical optimization | Methods | Algorithms | Studies | Linear programming | Formulations | Programming | Solvers | Derivation | Gaps | Linearization

Journal Article

Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, 07/2017, Volume 163, Issue 1, p. 71

We study the variation of the[...]-Selmer groups of the elliptic curves y 2 = x 3 - Dx under quartic twists by square-free integers. We obtain a complete...

Integers

Integers

Journal Article