This answer is a Community Wiki post to allow everybody to contribute to the list. As a guideline, only add abbreviations that most people in the field are familiar with.
General
- CS - Computer Science
- IE - Industrial Engineering
- MS - Management Science
- OM - Operations Management
- OR - Operations Research (or Operational Research)
Problem classes
- BP - Bilevel Program
- BLP - Binary Linear Program
- BMI - Bilinear Matrix Inequality
- CCP - Chance-Constrained Program(ming) (note: also stands for Convex-Concave Procedure)
- CP - Constraint Programming
- CSP - Constraint Satisfaction Program
- DC - Difference of Convex (Functions) Programming
- DCCP - Disciplined Convex-Concave Programming (handles DC Programming)
- DCP - Disciplined Convex Programming (used by CVX, CVXPY, CVXR)
- DGP - Disciplined Geometric Programming (used by CVX, CVXPY, CVXR)
- DES - Discrete-Event Simulation
- DGO - Deterministic Global Optimization
- DMCP - Disciplined Multi-Convex Programming
- DQCP - Disciplined Quasiconvex Programming
- DP - Dynamic Program(ming)
- GO - Global Optimization
- GP - Geometric Program(ming)
- ILP - Integer Linear Program(ming)
- IP - Integer Program(ming)
- LCP - Linear Complementarity Problem
- LFP - Linear-Fractional Program(ming)
- LMI - Linear Matrix Inequality
- LP - Linear Program(ming)
- MBLP - Mixed Binary Linear Program
- MDE - Minimum-Distortion Embedding
- MCF / MCNF - Minimum Cost Flow, or Minimum Cost Network Flow (note: also stands for Multi-Commodity Network Flow).
- MFP - Maximum Flow Problem
- MIDCP - Mixed Integer Disciplined Convex Programming
- MIGP - Mixed Integer Geometric Program(ming)
- MIP - Mixed Integer Program
- MILP - Mixed Integer Linear Program
- MINLP - Mixed Integer Nonlinear Program
- MIQCQP - Mixed Integer Quadratically Constrained Quadratic Program
- MIQP - Mixed Integer Quadratic Program
- MISOCP - Mixed Integer Second Order Cone Program
- MISDP - Mixed Integer Semidefinite Program
- MOOP - Multi-Objective Optimization Problem
- MCNF - Multi-Commodity Network Flow problem (note: also stands for Minimum Cost Network Flow)
- MaOOP - Many-Objective Optimization Problem
- MOLP - Multi-Objective Linear Program
- MP - Mathematical Program (or Master Problem)
- MPCC - Mathematical Program with Complementarity Constraints (same as MPEC)
- MPEC - Mathematical Program with Equilibrium Constraints (same as MPCC)
- NLCP - Nonlinear Complementarity Problem
- NLP - Nonlinear Program(ming) (now far more commonly stands for "Natural Language Processing" outside of OR and nonlinear programming people, but Nonlinear Program(ming) was the original)
- NMF or NNMF - Non-Negative Matrix Factorization
- POP - Polynomial Optimization Problem
- QP - Quadratic Program(ming)
- QCQP - Quadratically Constrained Quadratic Program
- QUBO - Quadratic Unconstrained Binary Optimization (problem)
- RO - Robust Optimization
- ARO - Adjustable Robust Optimization
- SCP - Set-Covering Problem
- SDP - Semidefinite Program(ming)
- SOCP - Second Order Cone Program (or Problem)
- SMINLSDP - Stochastic Mixed Integer Nonlinear Semidefinite Program
- SOS - Sum of Squares Programming (note: also stands for Special Ordered Set)
- SP - Stochastic Program(ming)
- SPP - Saddle Point Problem (note: also stands for Set-Partitioning Problem)
- SPP - Set-Partitioning Problem (note: also stands for Saddle Point Problem)
- TDI - Total Dual Integrality
- TF - Tensor Factorization
- UBQP - Unconstrained Binary Quadratic Program(ming)
Solution methods
- AD - Automatic Differentiation, a.k.a. Algorithmic Differentiation
- ADMM - Alternating Direction Method of Multipliers
- ADP - Approximate Dynamic Programming
- ASM - Active Set Method
- BB, B&B, or BnB - Branch-and-bound
- BCP - Branch-Cut-and-Price
- BD - Benders Decomposition
- BDD - Binary Decision Diagram
- BFGS - Broyden Fletcher Goldfarb Shanno (Quasi-Newton)
- BFS - Breadth-First Search
- BPC - Branch-Price-and-Cut
- CCP - Convex-Concave Procedure (note: also stands for Chance-Constrained Program(ming))
- CF - Cholesky Factorization
- CG - Column Generation (note: also stands for Conjugate Gradient)
- CG - Conjugate Gradient (note: also stands for Column Generation)
- CPM - Cutting Plane Method
- CQ - Constraint Qualification
- CRCQ - Constant Rank constraint qualification
- DFP - Davidon Fletcher Powell (Quasi-Newton)
- DFS - Depth-First Search
- DW - Dantzig–Wolfe decomposition
- ECP - Extended Cutting Plane (Method)
- FJ - Fritz John conditions
- GBD - Generalized Benders Decomposition
- GD - Gradient Descent
- IPA - Infinitesimal Perturbation Analysis (for stochastic simulation derivative estimation)
- IPM - Interior Point Method
- KKT - Karush Kuhn Tucker conditions
- LCQ - Linearity constraint qualification
- LICQ - Linear Independence constraint qualification
- L-SR1 - Limited Memory Symmetric Rank One (Quasi-Newton)
- L-BFGS - Limited Memory Broyden Fletcher Goldfarb Shanno (Quasi-Newton)
- LR - Lagrangian Relaxation decomposition/method/problem
- LRM - Likelihood Ratio Method (for stochastic simulation derivative estimation)
- LU - LU decomposition
- MP - Master Problem (or Mathematical Program)
- MFCQ - Mangasarian–Fromovitz constraint qualification
- OA - Outer Approximation
- PSB - Powell Symmetric Broyden (Quasi-Newton
- RLT - Reformulation-Linearization Technique
- RPT - Reformulation-Perspectification Technique
- RPT-SDP - Reformulation-Perspectification Technique with SDP Relaxation
- RRQR - Rank Revealing QR factorization
- QN - Quasi-Newton
- QR - QR decomposition (a.k.a. factorization) or algorithm
- SA - Stochastic Approximation (note: SA also stands for "Simulated Annealing")
- SAA - Sample Average Approximation
- SCA - Sequential Convex Approximation (more or less the same as SCP)
- SCP - Sequential Convex Programming (more or less the same as SCA)
- SDDP - Stochastic Dual Dynamic Programming
- SGD - Stochastic Gradient Descent
- SLP - Sequential Linear Programming
- SLQP - Sequential Linear-Quadratic Programming
- SO - Simulation Optimization
- SCQA - Sequential Quasi-Convex Approximation
- SQP - Sequential Quadratic Programming
- SR1 - Symmetric Rank One (Quasi-Newton)
- SVD - Singular Value Decomposition
- TR - Trust Region
- UBFGS - ultra BFGS (Broyden Fletcher Goldfarb Shanno) (Quasi-Newton)
Meta-heuristics
- ACO - Ant Colony Optimization
- ALNS - Adaptive Large Neighborhood Search
- BCO - Bee Colony Optimization
- GA - Genetic Algorithm
- LA - Late Acceptance
- LNS - Large Neighborhood Search
- LS - Local Search
- MOEA - Multi-Objective Evolutionary Algorithms
- MaOEA - Many-Objective Evolutionary Algorithms
- PSO - Particle Swarm Optimization
- SA - Simulated Annealing (note: SA also stands for "Stochastic Approximation")
- SCO - Social Cognitive Optimization
- TS - Tabu Search
- VNS - Variable Neighborhood Search
- DEA - Differential Evolution Algorithm
Vehicle Routing
- ACVRP - Asymmetric Capacitated Vehicle Routing Problem
- CARP - Capacitated Arc Routing Problem
- CLuVRP - Clustered Vehicle Routing Problem
- CVRP - Capacitated Vehicle Routing Problem
- DARP - Dial A Ride Problem
- ESPPRC - Elementary Shortest Path Problem with Resource Constraints
- ERCSPP - Elementary Resource Constrained Shortest Path Problem (same problem as above)
- MAVRP - Multi-Attribute Vehicle Routing Problem
- MMVRP - Min-Max Vehicle Routing Problem
- OPTW - Orienteering Problem with Time Windows
- OVRP - Open Vehicle Routing Problem
- PCTSP - Prize Collecting Travelling Salesman Problem
- PDP - Pickup and Delivery Problem
- PDPTW - Pickup and Delivery Problem with Time Windows
- PVRP - Periodic Vehicle Routing Problem
- RVRP - Rich Vehicle Routing Problem
- RVRPTW - Robust Vehicle Routing Problem with Time Windows (see also RVRP-TWA)
- RVRP-TWA - Robust Vehicle Routing Problem with Time Window Assignments (see also RVRPTW)
- SVRP - Stochastic Vehicle Routing Problem
- TDTSP - Time-Dependent Traveling Salesman Problem
- TDVRP - Time-Dependent Vehicle Routing Problem
- TSP - Traveling Salesman Problem
- TSPTW - Traveling Salesman Problem with Time Windows
- TSP-rd - Traveling Salesman Problem with Release Dates
- TTP - Traveling Tournament Problem
- VRP - Vehicle Routing Problem
- VRPTW - Vehicle Routing Problem with Time Windows
Scheduling Problems
- RCPSP - Resource‐Constrained Project Scheduling Problem
- FSP - Flow Shop scheduling Problem
- JSP - Job Shop scheduling Problem
- BJSP - Blocking Job Shop scheduling Problem, some papers also use BJSS.
- OSP - Open Shop scheduling Problem
- JIT - Just In Time
- FMS - Flexible Manufacturing System
- UET - Unit Execution Time
- (W)SPT - (Weighted) Shortest Processing Time
- (W)LPT - (Weighted) Longest Processing Time
- EDD - Earliest Due Date
Facility location
- CFLP - Capacitated Facility Location Problem
- MCLP - Maximal Covering Location Problem
- $p$CP - $p$-Center Problem
- $p$MP - $p$-Median Problem
- SCLP - Set Covering Location Problem
- SSCFLP - Single Source Capacitated Facility Location Problem
- UFLP - Uncapacitated Facility Location Problem
Inventory
- EOQ - Economic Order Quantity
- MEIO - Multi-Echelon Inventory Optimization
- OWMR - One-Warehouse, Multiple-Retailer
Reliability and Maintenance
- CBM - Condition-Based Maintenance
- CM - Corrective Maintenance
- DFR - Decreasing Failure Rate
- DFRA - Decreasing Failure Rate on Average
- IFR - Increasing Failure Rate
- IFRA - Increasing Failure Rate on Average
- PM - Preventive Maintenance
- RUL - Remaining Useful Life
- TBM - Time-based maintenance
- $TP_r$ - Totally Positive of order $r$
Cutting and Packing
- 2D-BPP - Two Dimensional Bin Packing Problem
- 3D-BPP - Three Dimensional Bin Packing Problem
Assignment Problems
- GAP - Generalized Assigment Problem
- LAP - Linear Assignment Problem
- LOP - Linear Ordering Problem
- QAP - Quadratic Assignment Problem
Assembly/Disassembly Line Balancing
- ALB(P) - Assembly Line Balancing (Problem)
- DLB(P) - Disassembly Line Balancing (Problem)
- SALBP - Simple Assembly Line Balancing Problem
- MMALBP - Mixed Model Assembly Line Balancing Problem
Stochastic Processes & Queueing
- CPP - Compound Poisson Process
- CTMC - Continuous Time Markov Chain
- DTMC - Discrete Time Markov Chain
- MDP - Markov Decision Process/Problem
- M/M/1 - single-server queue with exponential interarrival and service
times (see Kendall's
notation for
others)
- MRP - Markov Renewal Process
- NHPP - nonhomogeneous Poisson Process
- NNPP - nonhomogeneous non-Poisson Process
- POMDP - Partially Observable Markov Decision Process
- PP - Poisson Process
- RRP - Renewal Reward Process
- SMDP - Semi-Markov Decision Process
Other
- AHP - Analytic Hierarchy Process
- ANP - Analytic Network Process
- DEA - Data Envelopment Analysis
- INFORMS - Institute for Operations Research and the Management Sciences
- MADM - Multi-Attribute Decision Making
- MCDM - Multi-Criteria Decision Making
- MODM - Multi-Objective Decision Making
- ML - Machine Learning
- MST - Minimum Spanning Tree
- SOS - Special Ordered Set (note: also stands for Sum of Squares Programming)
- FIFO - First In First Out
- LIFO - Last In First Out
- FCFS - First Come, First Served (see FIFO)
- LCFS - Last Come, First Served (see LIFO)