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One catalogue of research methods — learn how each one works, when to use it, and what it can’t do.

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Entries are compiled from published sources for reference. Verifying the accuracy and suitability of any information for your own use remains your responsibility.

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932 methods · Decision SciencesClear
Real methods matching your filter.
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operations research

A-star Search Algorithm

The A* Search Algorithm, developed by Peter E. Hart, Nils J. Nilsson, and Bertram Raphael in 1968, is an optimal path-finding algorithm that combines the benefits of Dijkstra's algorithm with heuristic guidance. It efficiently finds the shortest path by balancing actual distance from the start with estimated distance t

2 sources1968
operations research

ABC Analysis

ABC Analysis is a demand-value segmentation technique that divides inventory items into three classes — A, B, and C — based on their annual usage value (unit cost multiplied by annual demand). Rooted in the Pareto principle and codified for inventory management by Silver, Pyke, and Peterson (1998), it guides managers t

1 source1998
optimization

African Vultures Optimization Algorithm

The African Vultures Optimization Algorithm (AVOA) is a metaheuristic algorithm introduced by Moghdani and Salimifard in 2020, inspired by the search and scavenging behavior of African vultures. Vultures employ sophisticated collaborative strategies to locate carrion across vast distances, using thermal air currents an

1 source2020
simulation

Agent-based ant colony optimization

Agent-Based Ant Colony Optimization (AB-ACO) models individual ants as autonomous agents that probabilistically construct solutions by following and depositing pheromone trails on a search graph. By coupling agent-level behavioral rules with a shared pheromone environment, the collective system converges on high-qualit

2 sources1992
simulation

Agent-based dynamic programming

Agent-based dynamic programming (ABDP) embeds Bellman's dynamic programming framework within individual agents of an agent-based model, enabling each agent to solve sequential, multi-stage decision problems using backward induction or value-function iteration. The result is a population of optimizing agents whose inter

2 sources1957
simulation

Agent-based genetic algorithm

An Agent-Based Genetic Algorithm (ABGA) partitions a genetic algorithm's population across a network of autonomous agents, each maintaining a local sub-population and evolving it independently. Agents periodically exchange individuals (migration) based on proximity or communication rules, enabling parallel exploration

2 sources1990
simulation

Agent-based goal programming

Agent-Based Goal Programming (ABGP) integrates agent-based simulation with goal programming optimization to model systems where multiple autonomous decision-makers pursue competing, prioritized goals. It enables researchers to study how decentralized, adaptive behavior at the agent level leads to system-level outcomes

2 sources1990
simulation

Agent-based integer programming

Agent-Based Integer Programming (ABIP) couples the behavioral richness of agent-based modeling with the combinatorial rigor of integer programming. Individual agents pursue local objectives while a global IP solver enforces discrete feasibility constraints, enabling realistic modeling of multi-actor systems where decis

2 sources1990
simulation

Agent-based NSGA-II

Agent-based NSGA-II embeds the NSGA-II evolutionary algorithm inside an agent-based simulation loop so that objective values for each candidate solution are determined by running a full agent simulation rather than by evaluating a closed-form function. This coupling enables multi-objective optimization over systems who

2 sources2000
simulation

Agent-based queueing simulation

Agent-Based Queueing Simulation (AB-QS) combines agent-based modeling with queueing theory to simulate systems where autonomous, decision-making entities interact through waiting lines and service points. Each entity (patient, customer, job) is modeled as an independent agent with its own state and behavioral rules, en

2 sources2000
simulation

Agent-based Tabu Search

Agent-Based Tabu Search (ABTS) embeds the tabu search metaheuristic inside a multi-agent framework where autonomous agents each run independent or cooperating tabu search threads, sharing promising solutions to escape local optima and collectively explore large combinatorial or continuous search spaces more effectively

2 sources1989
operations management

Aggregate Planning

Aggregate Planning (or Sales & Operations Planning, S&OP) is a collaborative, iterative process that balances demand and supply at a high level—typically grouping products into families and planning over a 3–18 month horizon. Developed formally by Tom Wallace and popularized through APICS, aggregate planning helps orga

2 sources1992
decision making

AHP

AHP (Analytic Hierarchy Process) is a weight subjective multi-criteria decision-making (MCDM) method introduced by Saaty, T. L. in 1980. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

1 sourceintermediate1980
decision making

AHP-BOCR

AHP-BOCR is an extension of the Analytic Hierarchy Process that incorporates strategic perspectives through the BOCR framework: Benefits, Opportunities, Costs, and Risks. Instead of optimizing a single objective, AHP-BOCR decomposes decisions into four strategic dimensions and uses a formula (Benefits × Opportunities)

2 sources2008
decision making

AHPSORT

AHPSORT (AHPSort — AHP-based classification of alternatives into ordered categories) is a sorting multi-criteria decision-making (MCDM) method introduced by Ishizaka, A., Nemery, P., Pearman, C. in 2012. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

1 source2012
decision making

AHSPR

AHSPR (Asymmetric Hesitant Fuzzy Sigmoid Preference Relations (Zhou-Xu 2016)) is a preference relations multi-criteria decision-making (MCDM) method introduced by Zhou, W. Xu, Z. in 2016. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

1 source2016
social psychology

Ambivalent Sexism Inventory

The Ambivalent Sexism Inventory (ASI) is a 22-item self-report measure developed by Peter Glick and Susan T. Fiske in 1996 to assess both hostile and benevolent sexism toward women. The scale captures the dual nature of sexism: overtly antagonistic attitudes and paternalistic but ultimately restrictive attitudes that p

1 source1996
strategic management

Analytic Hierarchy Process for Strategic Priorities

The Analytic Hierarchy Process (AHP) applied to strategic priorities is a multi-criteria decision method that structures a complex strategy choice into a hierarchy of goal, criteria, and alternatives, then derives priority weights from expert pairwise comparisons. Thomas Saaty developed AHP in the 1970s and set out its

2 sources1980
decision making

ANP

ANP (Analytic Network Process (AHP with feedback and interdependences)) is a weight subjective multi-criteria decision-making (MCDM) method introduced by Saaty, T. L. in 1996. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

1 source1996
optimization

Ant Colony Optimization

Ant Colony Optimization (ACO) is a metaheuristic algorithm introduced by Marco Dorigo and colleagues in the early 1990s that solves combinatorial optimisation problems by simulating the collective foraging behaviour of ants. Real ants lay pheromone trails on paths and preferentially follow stronger trails; ACO turns th

2 sources1992
decision making

APLOCO

APLOCO (Automatic Pairwise Linear Order Combination) is a ranking multi-criteria decision-making (MCDM) method introduced by Konstantinos, N., Xenakis, A., Kehagias, A. in 2020. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

1 source2020
optimization

Aquila Optimizer

The Aquila Optimizer (AO) is a nature-inspired metaheuristic algorithm presented by Abualigah et al. in 2021, modeled after the hunting behavior and sensory abilities of golden eagles (aquila chrysaetos). The algorithm captures the exploration and exploitation phases of eagle hunting, including high-altitude soaring, e

1 source2021
decision making

ARAS

ARAS (Additive Ratio Assessment) is a ranking multi-criteria decision-making (MCDM) method introduced by Zavadskas, E. K., Turskis, Z. in 2010. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

1 source2010
optimization

Arithmetic Optimization Algorithm

The Arithmetic Optimization Algorithm (AOA) is a metaheuristic optimization approach introduced by Abualigah et al. in 2020 that leverages mathematical operators (multiplication, division, addition, subtraction) as the inspiration for search strategies. Unlike nature-inspired algorithms, AOA uses the inherent propertie

1 source2020
decision making

AROMAN

AROMAN (Alternative Ranking Order Method Accounting for Two-Step Normalisation) is a ranking multi-criteria decision-making (MCDM) method introduced by Zdravković, M., Hamid, M., Radovanović, M. in 2022. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

1 source2022
game theory

Arrow-Debreu Equilibrium

The Arrow-Debreu model is a general equilibrium framework where prices adjust to clear all markets simultaneously, and consumers and firms optimize given those prices. Introduced by Kenneth Arrow and Gerard Debreu in 1954, the model extends Adam Smith's invisible hand concept into a rigorous mathematical framework. Arr

2 sources1954
decision making

ARTASI

ARTASI (Alternative Ranking Technique based on Adaptive Standardized Intervals) is a ranking multi-criteria decision-making (MCDM) method introduced by Kara, K., Yalçın, G. C., Kaygısız, E. G., Simic, V., Örnek, A. Ş., Pamucar, D. in 2024. It turns a decision matrix of alternatives scored on multiple criteria into a st

1 source2024
optimization

Artificial Bee Colony

Artificial Bee Colony (ABC) is a population-based swarm intelligence metaheuristic introduced by Karaboga and Basturk in 2007. It models the cooperative foraging behavior of a honey bee colony to search for optimal solutions in continuous numerical optimization problems. The algorithm divides candidate solutions among

1 source2007
operations management

Assembly Line Balancing

Assembly Line Balancing is the problem of distributing a sequence of assembly tasks across a series of workstations on a production line such that work is evenly distributed, idle time is minimized, and throughput constraints are satisfied. The goal is to assign tasks to stations such that the total work time at each s

2 sources2010
international relations

Audience Cost Analysis

Audience cost analysis studies how the domestic political punishment a leader expects for publicly backing down from an international threat makes that threat credible. Introduced formally by James Fearon (1994), the mechanism explains why a leader who escalates a crisis in public ties their own hands: retreating would

1 source1994
operations research

Augmented Lagrangian Method

The Augmented Lagrangian Method, developed by Magnus R. Hestenes and M. J. D. Powell in 1969, is a powerful technique for solving constrained optimization problems. It converts a constrained problem into a sequence of unconstrained subproblems by augmenting the Lagrangian with a quadratic penalty term, enabling efficie

3 sources1969
disaster studies

Average Annual Loss Estimation

Average annual loss (AAL) estimation computes the expected loss per year from a hazard, the long-run mean of annual losses obtained by weighting every possible event's loss by its annual frequency. It is the single most important summary statistic produced by probabilistic risk and catastrophe models, equal both to the

2 sources2005
decision making

AVERAGE-RANKING

AVERAGE-RANKING (Average ranking — per-alternative mean rank) is a aggregationoperator multi-criteria decision-making (MCDM) method introduced by Orakçı, E. in 2024. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

1 source2024
decision making

B-WENSLO

B-WENSLO (Fuzzy WEight deNomination based on Slope coefficient (triangular fuzzy extension)) is a weight subjective multi-criteria decision-making (MCDM) method introduced by Demir, G., Ulusoy, S. K. in 2024. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.

1 source2024
public administration

Balanced Scorecard for Public Sector

The Balanced Scorecard is a strategic management framework that translates an organisation's mission and strategy into a coherent set of performance measures spread across multiple perspectives, so that managers see the business from more than the financial angle alone. Introduced by Robert Kaplan and David Norton in t

2 sources1992
decision making

BALANCED-SPOTIS

BALANCED-SPOTIS (Balanced SPOTIS — Balanced Stable Preference Ordering Towards Ideal Solution) is a ranking multi-criteria decision-making (MCDM) method introduced by Shekhovtsov, A., Dezert, J., Sałabun, W. in 2025. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible

1 source2025
international relations

Bargaining Model of War

The bargaining model of war, given its canonical statement by James Fearon in 'Rationalist Explanations for War' (1995), treats war not as the failure of reason but as a failure of bargaining. Because fighting is costly and uncertain, there almost always exists a peaceful division of the disputed stakes that both ratio

1 source1995
optimization

Bat Algorithm

The Bat Algorithm (BA) is a nature-inspired metaheuristic optimization method proposed by Xin-She Yang in 2010. It mimics the echolocation behavior of microbats to balance global exploration and local exploitation. Each artificial bat adjusts its position, velocity, and emission frequency, with loudness and pulse rate

1 source2010
simulation

Bayesian Ant Colony Optimization

Bayesian Ant Colony Optimization (BACO) is a hybrid metaheuristic that embeds Bayesian inference into the Ant Colony Optimization framework. By treating pheromone intensities or algorithm parameters as probability distributions updated with collected evidence, BACO improves convergence reliability and robustness compar

2 sources1996
simulation

Bayesian Dynamic Programming

Bayesian Dynamic Programming (BDP) combines Bellman's dynamic programming framework with Bayesian inference to optimize sequential decisions when transition probabilities or reward structures are unknown. At each stage, the agent updates beliefs about the environment using observed outcomes, then computes an optimal po

2 sources1957
simulation

Bayesian Genetic Algorithm

A Bayesian Genetic Algorithm (BGA) replaces traditional crossover and mutation operators with a probabilistic Bayesian network learned from selected high-fitness individuals. At each generation the algorithm builds a graphical model of promising solution structure, then samples new offspring from that model, enabling t

2 sources1999
simulation

Bayesian Goal Programming

Bayesian Goal Programming (BGP) integrates Bayesian statistical inference with classic goal programming to handle uncertainty in targets and parameters. Instead of treating goal thresholds as fixed constants, BGP encodes them as probability distributions, updates beliefs using observed data, and then solves the resulti

2 sources1990
simulation

Bayesian Integer Programming

Bayesian Integer Programming (BIP) integrates Bayesian probabilistic reasoning with integer programming to solve combinatorial optimization problems under uncertainty. Instead of treating parameters as fixed, it encodes prior beliefs about uncertain coefficients and updates them with observed data, producing a posterio

2 sources1990
simulation

Bayesian Linear Programming

Bayesian Linear Programming (BLP) integrates Bayesian statistical inference with classical linear programming to handle uncertainty in model parameters such as objective function coefficients, constraint coefficients, or right-hand-side values. Instead of treating parameters as fixed or governed by worst-case bounds, B

2 sources1970
simulation

Bayesian Mixed-Integer Programming

Bayesian Mixed-Integer Programming (BO-MIP) couples a probabilistic surrogate model — typically a Gaussian process — with a mixed-integer programming solver to efficiently optimize expensive black-box objectives defined over spaces that contain both continuous and discrete or integer-valued decision variables. It is es

2 sources2018
game theory

Bayesian Nash Equilibrium

Bayesian Nash Equilibrium (BNE) extends Nash Equilibrium to games with incomplete information, where players lack full knowledge of others' payoff functions. Introduced by John Harsanyi in 1967, BNE models strategic interaction under uncertainty by representing unknown payoffs as players' private types drawn from a pro

2 sources1967
simulation

Bayesian NSGA-II

Bayesian NSGA-II integrates Gaussian process surrogate models (Bayesian metamodels) into the NSGA-II evolutionary loop to solve expensive multi-objective optimization problems. By replacing costly true function evaluations with fast probabilistic predictions, it discovers high-quality Pareto-front approximations with f

2 sources2002
optimization

Bayesian Optimization

Bayesian Optimization is a sequential, model-based strategy for finding the optimum of expensive black-box functions with as few evaluations as possible. Rooted in the work of Mockus (1975) and brought to mainstream machine-learning practice by Snoek, Larochelle, and Adams (2012), it fits a probabilistic surrogate mode

2 sources1975
simulation

Bayesian Particle Swarm Optimization

Bayesian Particle Swarm Optimization (Bayesian PSO) integrates Bayesian probabilistic reasoning into the standard particle swarm framework. Particles update their velocities and positions guided not only by personal and global best positions but also by a Bayesian posterior that encodes prior knowledge about the soluti

2 sources2003
simulation

Bayesian Queueing Simulation

Bayesian Queueing Simulation combines Bayesian statistical inference with stochastic queueing simulation to model waiting-line systems under parameter uncertainty. Instead of treating arrival and service rates as fixed known values, it places prior distributions over them, updates these with observed data to obtain pos

2 sources1994
simulation

Bayesian Simulated Annealing

Bayesian Simulated Annealing (BSA) integrates Bayesian prior knowledge about the objective landscape into the simulated annealing search process. By encoding beliefs about promising regions as prior distributions and updating them as the search progresses, BSA focuses computational effort on high-probability areas of t

2 sources1984
experimental design

Bayesian Six Sigma DMAIC

Bayesian Six Sigma DMAIC integrates Bayesian statistical inference into the classical Define-Measure-Analyze-Improve-Control quality-improvement framework. Rather than relying solely on frequentist hypothesis tests and point estimates, it incorporates prior knowledge — from expert judgment, historical production data,

2 sources1986
simulation

Bayesian Tabu Search

Bayesian Tabu Search (BTS) is a hybrid metaheuristic that couples the memory-based forbidden-move mechanism of classic Tabu Search with a Bayesian probabilistic model. The Bayesian component learns from past evaluations to score candidate moves, focusing the search on promising regions while the tabu list prevents cycl

2 sources1989
clinical psychology

Beck Anxiety Inventory

The Beck Anxiety Inventory (BAI) is a 21-item self-report scale designed to measure the severity of somatic and cognitive symptoms of anxiety in adolescents and adults. Developed by Aaron T. Beck and Robert A. Steer in 1993, the BAI is widely used in clinical assessment, treatment monitoring, and research to quantify a

1 source1993
clinical psychology

Beck Depression Inventory

The Beck Depression Inventory (BDI) is a 21-item self-report instrument designed to measure the severity of depressive symptoms in adolescents and adults. Developed by Aaron T. Beck in 1961 and revised as the BDI-II in 1996, it has become one of the most widely used screening and monitoring tools in clinical psychology

2 sources1961
clinical psychology

Beck Depression Inventory-II

The Beck Depression Inventory-II is a 21-item self-report instrument designed to assess the presence and severity of depressive symptoms in adolescents and adults. Originally published by Aaron T. Beck in 1961 and revised significantly in 1996, the BDI-II is one of the most widely used depression assessment tools in cl

3 sources1996
soft computing

Belief Rule Base

Belief Rule Base (BRB), introduced by Yang et al. in 2006 under the RIMER framework, is an expert-system inference methodology that extends classical if-then rules by attaching belief degree distributions to rule consequents. It combines rule-based reasoning with the Evidential Reasoning (ER) approach, enabling the rep

1 source2006
operations research

Bellman-Ford Algorithm

The Bellman-Ford Algorithm, developed by Richard Bellman and Lester R. Ford in the 1950s, is a fundamental algorithm for computing shortest paths in weighted graphs that may contain negative edge weights. Unlike Dijkstra's algorithm, it correctly handles negative weights and can detect the presence of negative-weight c

2 sources1956
operations research

Benders Decomposition

Benders Decomposition, introduced by Jacques F. Benders in 1962, is a powerful algorithmic framework for solving large-scale mixed-integer programming (MIP) problems. It decomposes the problem into a master problem (controlling complicating variables) and subproblems (handling remaining variables), using cutting planes

2 sources1962
public policy

Benefit Incidence Analysis

Benefit incidence analysis (BIA) assesses how the benefits of public spending on services such as education, health and subsidies are distributed across population groups, typically ranked by income or consumption. It combines data on who uses publicly provided services, drawn from household surveys, with the unit cost

1 source2000