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Combinatorial optimization problem
maximum generalized assignment problem is a problem in combinatorial optimization. This problem is a generalization of the assignment problem in which
Generalized assignment problem
Generalized_assignment_problem
Combinatorial optimization problem
The assignment problem is a fundamental combinatorial optimization problem. In its most general form, the problem is as follows: The problem instance has
Assignment_problem
p_{ij}} . Notice that as opposed to the classic assignment problem or the generalized assignment problem, more than one agent (i.e., weapon) can be assigned
Weapon-target assignment problem
Weapon-target_assignment_problem
American mathematician
several scheduling and clustering problems including the k-center and k-median problems and the generalized assignment problem. Polynomial-time approximation
David_Shmoys
Optimization algorithm
Generalized assignment problem (GAP) Frequency assignment problem (FAP) Redundancy allocation problem (RAP) Set cover problem (SCP) Partition problem
Ant colony optimization algorithms
Ant_colony_optimization_algorithms
problem Bin packing problem Bottleneck traveling salesman Uncapacitated facility location problem Flow Shop Scheduling Problem Generalized assignment
List_of_NP-complete_problems
Mathematical combinatorial optimization method
telecommunication channel assignment. Vehicle routing problems. Generalized assignment problem. Branch and cut Branch and bound Delayed column generation Lecture
Branch_and_price
Problem of determining if a Boolean formula could be made true
SAT problem, it is useful to define the notion of a generalized conjunctive normal form formula, viz. as a conjunction of arbitrarily many generalized clauses
Boolean satisfiability problem
Boolean_satisfiability_problem
Discipline concerning the application of advanced analytical methods
allocation problems Facility location Assignment Problems: Assignment problem Generalized assignment problem Quadratic assignment problem Weapon target
Operations_research
Combined science of forestry and informatics
problems, many of which can be formulated as optimization problems (e.g. generalized assignment problem, traveling salesman problem, knapsack problem
Forest_informatics
Topics referred to by the same term
system) (Groups, Algorithms and Programming), a software package Generalized assignment problem Generic access profile, an interoperability protocol used in
Gap
Graph theory problem: find a matching containing the most edges
is called the assignment problem. If each vertex can be matched to several vertices at once, then this is a generalized assignment problem. A priority matching
Maximum-cardinality_matching
Set of objects whose state must satisfy limits
satisfying assignments. This can be further generalized by using larger domain sizes and attaching a weight to each satisfying assignment and computing
Constraint satisfaction problem
Constraint_satisfaction_problem
Algorithm for searching a problem space
problem, set cover problem, minimal graph coloring, max independent set problem, bin packing problem, and generalized assignment problem. More recent applications
Memetic_algorithm
Combinatorial optimization problem
activities than A, contradicting the optimality. The generalized version of the activity selection problem involves selecting an optimal set of non-overlapping
Activity_selection_problem
Class of statistical models
In statistics, a generalized linear model (GLM) is a flexible generalization of ordinary linear regression. The GLM generalizes linear regression by allowing
Generalized_linear_model
Methodic assignment of colors to elements of a graph
graph coloring is a methodic assignment of labels traditionally called "colors" to elements of a graph. The assignment is subject to certain constraints
Graph_coloring
Mathematical problem involving optimal stopping theory
during 1611–1613 after the death of his first wife. The secretary problem can be generalized to the case where there are multiple different jobs. Again, there
Secretary_problem
Transportation networks
Operations Research has a page on the topic of: Transportation and Assignment Problem The problem of estimating how many users are on each route is long standing
Route_assignment
Professor of Computer Science
Danny (30 November 2006). "An efficient approximation for the Generalized Assignment Problem". Information Processing Letters. 100 (4): 162–166. doi:10.1016/j
Danny_Raz
Optimization problem in computer science
David; Tardos, Eva (1993). "An approximation algorithm for the generalized assignment problem". Mathematical Programming. 62: 461–474. doi:10.1007/BF01585178
Parallel_task_scheduling
Partition into subsets from a given family
Sudoku are noteworthy examples of exact cover problems. The n queens problem is a generalized exact cover problem. Given a collection S {\displaystyle {\mathcal
Exact_cover
NP-complete variant of the Boolean satisfiability problem
literal. Formally, a one-in-three 3-SAT problem is given as a generalized conjunctive normal form with all generalized clauses using a ternary operator R that
1-in-3-SAT
Array of processing elements specialized for parallelizable workloads
reformulating the problem of assigning kernel iterations to different loops and reordering them as a generalized assignment problem. It can then be solved
Spatial_architecture
Creignou, Nadia; Hermann, Miki (1996). "Complexity of Generalized Satisfiability Counting Problems". Information and Computation. 125: 1–12. doi:10.1006/inco
♯SAT
Use of science to increase knowledge
it should encompass: The contextualization of the problem; A hypothesis for explaining the problem considering existing theoretical approaches; A verification
Scientific_study
Setting or re-setting the value associated with a variable name
and CLU helped popularize parallel assignment generally. C# additionally allows generalized deconstruction assignment with implementation defined by the
Assignment_(computer_science)
Existence of values making formula true
mathematical logic, a formula is satisfiable if it is true under some assignment of values to its variables. For example, the formula x + 3 = y {\displaystyle
Satisfiability
The routing and wavelength assignment (RWA) problem is an optical networking problem with the goal of maximizing the number of optical connections. The
Routing and wavelength assignment
Routing_and_wavelength_assignment
Assignment of colors to edges of a graph
such as the generalized Petersen graphs G(6n + 3, 2) for n ≥ 2. The only known nonplanar uniquely 3-colorable graph is the generalized Petersen graph
Edge_coloring
Problem in formal logic
The problem is also in P by the same transformation: any satisfying assignment to this Horn formula is the negation of a satisfying assignment to the
Horn-satisfiability
knapsack problem, we add the constraint that each subset is of size n and remove the restriction on total weight, we get the assignment problem, which is
List_of_knapsack_problems
Optimization problem
Dispatching Problem" (PDF). Management Science. 6 (1): 80–91. doi:10.1287/mnsc.6.1.80. Fisher, Marshall L.; Jaikumar, Ramchandran (June 1981). "A generalized assignment
Vehicle_routing_problem
Search auction mechanism
and in the more general assignment problem by Aggarwal et al. and Dütting et al. Vickrey–Clarke–Groves auction Generalized first-price auction Google
Generalized second-price auction
Generalized_second-price_auction
Structure-preserving correspondence between node-link graphs
constraint satisfaction problems, such as certain scheduling or frequency assignment problems. The fact that homomorphisms can be composed leads to rich algebraic
Graph_homomorphism
Statistical value representing the center or average of a distribution
used with nominal data, which have purely qualitative category assignments. Generalized mean A generalization of the Pythagorean means, specified by an
Central_tendency
Area of discrete mathematics
sites. This problem can be formalized as asking for the crossing number of a complete bipartite graph. A graph coloring is a methodical assignment of labelling
Graph_theory
every neighborhood assignment of that space, a cover can be created from the union of neighborhoods from the neighborhood assignment of some closed discrete
D-space
Method to solve optimization problems
useful in modeling diverse types of problems in planning, routing, scheduling, assignment, and design. The problem of solving a system of linear inequalities
Linear_programming
Computational problem
In computational complexity theory, generalized geography is a well-known PSPACE-complete problem. Geography is a children's game, where players take
Generalized_geography
Statistical regression where the dependent variable can take only two values
such it treats the same set of problems as does logistic regression using similar techniques. When viewed in the generalized linear model framework, the
Probit_model
Feature detection algorithm in computer vision
more weight to the least-noisy scale. To avoid the problem of boundary effects in bin assignment, each keypoint match votes for the 2 closest bins in
Scale-invariant feature transform
Scale-invariant_feature_transform
Standard form of Boolean function
C_{m}&&{\text{// (generalized) D.M.}}\end{aligned}}} where ¬ C i = ¬ ( l i 1 ∧ l i 2 ∧ … ∧ l i n i ) ↔ ( ¬ l i 1 ∨ ¬ l i 2 ∨ … ∨ ¬ l i n i ) // (generalized) D.M.
Conjunctive_normal_form
otherwise. This decision problem is NP-complete. The problem may be generalized to triangle-free edge coloring, finding an assignment of colors to the edges
Monochromatic_triangle
Study of optimal transportation and allocation of resources
This motivating special case of the transportation problem is an instance of the assignment problem. More specifically, it is equivalent to finding a minimum
Transportation theory (mathematics)
Transportation_theory_(mathematics)
Task of computing complete subgraphs
In computer science, the clique problem is the computational problem of finding cliques (subsets of vertices, all adjacent to each other, also called complete
Clique_problem
Logical incompatibility between two or more propositions
general as a primitive in [the generalized set of postulates] a new definition must be given. Post's solution to the problem is described in the demonstration
Contradiction
Size of a possibly infinite set
position of an element in a sequence. These two notions diverge when generalized to infinite sets and sequences, with the position aspect leading to ordinal
Cardinal_number
Empirical interventional study
experiments and randomized controlled trials, but specifically lack random assignment to intervention and control conditions. Instead, quasi-experimental designs
Quasi-experiment
Probabilistic problem-solving algorithm
Metropolis algorithm, can be generalized, and this gives a method that allows analysis of (possibly highly nonlinear) inverse problems with complex a priori
Monte_Carlo_method
Class of problems in computer science
GISMP1). GISDP is the problem of deciding whether the maximum exactly equals the number of groups. All these problems can be generalized by adding a weight
Interval_scheduling
Approximation method in statistics
Numerical Methods for Least Squares Problems. SIAM. ISBN 978-0-89871-360-2. Kariya, T.; Kurata, H. (2004). Generalized Least Squares. Hoboken: Wiley.
Least_squares
Statistical modeling method
regression model. Multivariate analogues of ordinary least squares (OLS) and generalized least squares (GLS) have been developed. "General linear models" are
Linear_regression
Probability distribution
The generalized normal distribution (GND) or generalized Gaussian distribution (GGD) is either of two parametric families of continuous probability distributions
Generalized normal distribution
Generalized_normal_distribution
Procedural programming language
other ways it looked a lot like an early version of C. It included a generalized for loop as later appeared in C, which Thompson adapted from earlier
B_(programming_language)
Statistical matching technique
studies, the assignment of treatments to research subjects is typically not random. Matching attempts to reduce the treatment assignment bias, and mimic
Propensity_score_matching
Field of machine learning
convergence. Most current algorithms do this, giving rise to the class of generalized policy iteration algorithms. Many actor-critic methods belong to this
Reinforcement_learning
Secure multi-party computation protocol
cryptographers problem studies how to perform a secure multi-party computation of the boolean-XOR function. David Chaum first proposed this problem in the early
Dining_cryptographers_problem
Iterative solving method
y{-}h)\,-\,h^{2}f(x,y)\right)\,,} until convergence. The method is easily generalized to other numbers of dimensions. While the method converges under general
Relaxation_(iterative_method)
Problem of fair division
division problem in which indivisible items and a fixed monetary cost have to be divided simultaneously. The housemates problem and room-assignment-rent-division
Rental_harmony
they are equivalent when referring to the whole problem. Arc and path consistency can be generalized to non-binary constraints using tuples of variables
Local_consistency
Generalizability theory Generalized additive model Generalized additive model for location, scale and shape Generalized beta distribution Generalized
List_of_statistics_articles
Tool for working with matrices
It has many applications. One such application is for the problem of fair random assignment: given a randomized allocation of items, Birkhoff's algorithm
Birkhoff_algorithm
Least squares approximation of linear functions to data
solving statistical problems involved in linear regression, including variants for ordinary (unweighted), weighted, and generalized (correlated) residuals
Linear_least_squares
Statistical method that summarizes and/or integrates data from multiple sources
while collecting aggregate or summary data from the literature. The generalized integration model (GIM) is a generalization of the meta-analysis. It
Meta-analysis
Type of logical system
conjunctions and disjunctions. However, it is also possible to admit generalized signatures in which function and relation symbols are allowed to have
First-order_logic
regular and nonregular designs. In doing this, Ye established generalized resolution and generalized minimum aberration. Whereas regular designs are designs
Robust_parameter_design
Algorithm for statistical inference on graphical models
Gaussian model, the solution of the marginalization problem is equivalent to the MAP assignment problem: argmax x P ( x ) = 1 Z exp ( − 1 2 x T A x +
Belief_propagation
Computer software system to track issues
codebase (which is inherently a project management setting) whereas in generalized issue tracking systems, the tickets are often service-related or relationship-based
Issue_tracking_system
Directed graph where edges have a capacity
circulates through the network, hence the name of the problem. In a network with gains or generalized network each edge has a gain, a real number (not zero)
Flow_network
Equivalence of optimization problems
penalty of pij if pixels i, j are adjacent and have different assignments. The problem is to assign pixels to foreground or background such that the sum
Max-flow_min-cut_theorem
Vector quantization algorithm minimizing the sum of squared deviations
algorithm a variant of the generalized expectation–maximization algorithm. Finding the optimal solution to the k-means clustering problem for observations in
K-means_clustering
Family of distributions that generalize the multivariate normal distribution
5 ("The generalized T2-statistic", Section 5.7, pp. 199-201), 7 ("The distribution of the sample covariance matrix and the sample generalized variance"
Elliptical_distribution
queuing systems The inverse-gamma distribution The generalized gamma distribution The generalized Pareto distribution The Gamma/Gompertz distribution
List of probability distributions
List_of_probability_distributions
Algebraic structure modeling logical operations
structure (B, ∧, ∨, \, 0) is a generalized Boolean algebra, while (B, ∨, 0) is a generalized Boolean semilattice. Generalized Boolean lattices are exactly
Boolean_algebra_(structure)
Assignment problem in combinatorial mathematics
into alternative proofs for this formula and into various generalized versions of the problem. A different umbral formula for Mn involving Chebyshev polynomials
Ménage_problem
combinatorial optimization algorithm which solves assignment problems, and network optimization problems with linear and convex/nonlinear cost. An auction
Auction_algorithm
Concept in statistics
statistics, the class of vector generalized linear models (VGLMs) was proposed to enlarge the scope of models catered for by generalized linear models (GLMs). In
Vector generalized linear model
Vector_generalized_linear_model
Type of therapy to improve mental health
include obsessive–compulsive disorder, generalized anxiety disorder, substance use disorders, marital problems, attention deficit hyperactivity disorder
Cognitive_behavioral_therapy
Statistical interpretation with many tests
Multiple comparisons, multiplicity or multiple testing problem occurs when many statistical tests are performed on the same dataset. Each test has its
Multiple_comparisons_problem
Statistical model for count data
In statistics, Poisson regression is a generalized linear model form of regression analysis used to model count data and contingency tables. Poisson regression
Poisson_regression
Foundational controversy in twentieth-century mathematics
applied to a generalized "proof of consistency" for all of mathematics. In his 1900 address Hilbert had specified, as the second of his 23 problems for the
Brouwer–Hilbert_controversy
Fair division problem
Fair random assignment (also called probabilistic one-sided matching) is a kind of a fair division problem. In an assignment problem (also called house-allocation
Fair_random_assignment
Statistical method for handling multiple comparisons
PMID 21243075. Sarkar SK (2007). "Stepup procedures controlling generalized FWER and generalized FDR". The Annals of Statistics. 35 (6): 2405–20. arXiv:0803
False_discovery_rate
Statistical method
scholarships. The main problem with estimating the causal effect of such an intervention is the homogeneity of performance to the assignment of treatment (e
Regression discontinuity design
Regression_discontinuity_design
Optimizing objective functions that have constrained variables
convex; otherwise the problem may be NP hard. Allowing inequality constraints, the KKT approach to nonlinear programming generalizes the method of Lagrange
Constrained_optimization
Classical problem in combinatorics
fractional set cover problem, it is allowed to select fractions of sets, rather than entire sets. A fractional set cover is an assignment of a fraction (a
Set_cover_problem
Statistical model for a binary dependent variable
model for binary regression since about 1970. Binary variables can be generalized to categorical variables when there are more than two possible values
Logistic_regression
Method of making choices that maximises utility
auctions, calculating the optimal assignment is NP-hard. Sometimes there are approximation algorithms to the optimization problem, but, using such an approximation
Vickrey–Clarke–Groves mechanism
Vickrey–Clarke–Groves_mechanism
Statistical model validation technique
estimating it, in order to flag problems like overfitting or selection bias and to give an insight on how the model will generalize to an independent dataset
Cross-validation_(statistics)
Statistical approach
extensions of response surface methodology deal with the multiple response problem. Multiple response variables create difficulty because what is optimal
Response_surface_methodology
Optimization problem
1962). "An Efficient Algorithm for The Numerical Solution of The Generalized Weber Problem in Spatial Economics". Journal of Regional Science. 4 (2): 21–33
Optimal_facility_location
Fair division problem for discrete items
of the items. But such solutions are not always available. An item assignment problem has several ingredients: The partners have to express their preferences
Fair_item_allocation
Computational Formula that can be measured in terms of True or False
satisfiability problem. In this problem, you wish to know whether a given Boolean formula ϕ {\displaystyle \phi } can be made true with some assignment of variables
True quantified Boolean formula
True_quantified_Boolean_formula
Data compression technique
Once the series of trees has been created, the best tree is chosen by generalized accuracy as measured by a training set or cross-validation. Pruning could
Decision_tree_pruning
R. A. Fisher, "An examination of the different possible solutions of a problem in incomplete blocks", Annals of Eugenics, volume 10, 1940, pages 52–75
Fisher's_inequality
Generalization of binary functions
1016/S0166-218X(01)00341-9. hdl:2268/202427. Kahl, F.; Strandmark, P. (2011). Generalized Roof Duality for Pseudo-Boolean Optimization (PDF). International Conference
Pseudo-Boolean_function
Mathematical decision rule
difficult. For example, the generalized Bayes estimator of a location parameter θ based on Gaussian samples (described in the "Generalized Bayes estimator" section
Bayes_estimator
Statistical hypothesis test
successful with high probability. This method can be generalized for solving modern cryptographic problems. In bioinformatics, the chi-squared test is used
Chi-squared_test
Type of numerical analysis
algorithm. Conversely, Best and Chakravarti studied the problem as an active set identification problem, and proposed a primal algorithm. These two algorithms
Isotonic_regression
GENERALIZED ASSIGNMENT-PROBLEM
GENERALIZED ASSIGNMENT-PROBLEM
Girl/Female
Bengali, Indian
Eternity; Problem Solver
Girl/Female
Muslim/Islamic
Away from all Problems
Boy/Male
Arabic, Indian, Muslim
Problem Solver
Boy/Male
Indian, Tamil
People with this Name are Preferably Intelligent and Very Generous; Highly Knowledgeable in Problem Solving Skills
Boy/Male
Muslim
Problem solver
Girl/Female
Indian, Telugu
Destroyer of Problems
Boy/Male
Hindu, Indian
Problem
Surname or Lastname
English
English : status name from Middle English squyer ‘esquire’, ‘a man belonging to the feudal rank immediately below that of knight’ (from Old French esquier ‘shield bearer’). At first it denoted a young man of good birth attendant on a knight, or by extension any attendant or servant, but by the 14th century the meaning had been generalized, and referred to social status rather than age. By the 17th century, the term denoted any member of the landed gentry, but this is unlikely to have influenced the development of the surname.
GENERALIZED ASSIGNMENT-PROBLEM
GENERALIZED ASSIGNMENT-PROBLEM
Girl/Female
Christian, Gujarati, Hindu, Indian, Kannada, Marathi, Sindhi, Telugu
Wished-for Child
Girl/Female
Tamil
Courageous woman
Girl/Female
American, Australian, British, English, French, German
From the High Tower; Variant of Marlene; Derived from Madeline; Variant of Madeline Woman from Magdala
Biblical
exalted; pomegranate
Surname or Lastname
English
English : probably a habitational name from Cashmoor in Dorset, which is probably named with Old English cærse ‘cress’ + mÅr ‘fen’, ‘marsh’ or mere ‘pool’.Perhaps an Americanized spelling of German Kirchmeier.
Boy/Male
Native American
One who brings.
Girl/Female
African, Australian, Egyptian
Name of a Queen
Girl/Female
Indian
Decorated lady
Boy/Male
Hindu, Indian
Smiling Face
Girl/Female
Hindu, Indian, Marathi, Sanskrit
Born of the Sun
GENERALIZED ASSIGNMENT-PROBLEM
GENERALIZED ASSIGNMENT-PROBLEM
GENERALIZED ASSIGNMENT-PROBLEM
GENERALIZED ASSIGNMENT-PROBLEM
GENERALIZED ASSIGNMENT-PROBLEM
n.
Assignment of quarters for soldiers; quarters.
n.
One who takes general or comprehensive views.
v. t.
To make universal; to generalize.
n.
A making over by transfer of title; assignment.
n.
A generalized concept of magnitude.
v. t.
To apply to other genera or classes; to use with a more extensive application; to extend so as to include all special cases; to make universal in application, as a formula or rule.
n.
The writing by which an interest is transferred.
a.
Comprising structural characters which are separated in more specialized forms; synthetic; as, a generalized type.
n.
Same as Alignment.
n.
The transfer of the property of a bankrupt to certain persons called assignees, in whom it is vested for the benefit of creditors.
n.
See Alignment.
v. t.
To derive or deduce (a general conception, or a general principle) from particulars.
n.
The assignment of parts in a play to the actors.
p. pr. & vb. n.
of Generalize
n.
An allotting or an appointment to a particular person or use; or for a particular time, as of a cause or causes in court.
n.
A transfer of title or interest by writing, as of lease, bond, note, or bill of exchange; a transfer of the whole of some particular estate or interest in lands.
imp. & p. p.
of Generalize
n.
The act of allotting; assignment.
n.
The assignment of a cause.
v. i.
To form into a genus; to view objects in their relations to a genus or class; to take general or comprehensive views.