All Solvers

Choose from our collection of professional-grade Operations Research solvers

Linear Programming

Simplex Method

Solve linear programming problems with multiple variables and constraints using the powerful Simplex algorithm

Features

  • Multiple variables
  • Any number of constraints
  • Maximization/Minimization
  • Step-by-step tableaus
Linear Programming

Graphical Method

Visualize and solve 2-variable LP problems with interactive graphs and corner point analysis

Features

  • 2 variables only
  • Visual representation
  • Corner point method
  • Feasible region display
Network Optimization

Transportation Problem

Find minimum cost distribution from sources to destinations using transportation algorithms

Features

  • Supply & demand
  • Cost minimization
  • North-West Corner
  • Step-by-step solution
Network Optimization

Assignment Problem

Optimal one-to-one assignment using the Hungarian Algorithm for perfect matching

Features

  • Worker-task assignment
  • Cost minimization
  • Hungarian method
  • Optimal allocation
Network Optimization

Shortest Path

Find shortest path between nodes in a weighted graph using Dijkstra's algorithm

Features

  • Dijkstra's algorithm
  • Graph traversal
  • Path reconstruction
  • Step-by-step visualization
Linear Programming

Integer Programming

Solve integer linear programming problems using Branch and Bound algorithm

Features

  • Branch and Bound
  • Integer constraints
  • LP relaxation
  • Tree visualization
Linear Programming

Duality & Shadow Prices

Form the dual of an LP, solve both sides with Simplex, and verify strong duality against shadow prices

Features

  • Canonical dual
  • Strong duality check
  • Shadow ↔ y*
  • Min and max forms
Operations Research

Queue Problem

Analyze queuing systems using M/M/1 and M/M/c models with comprehensive performance measures

Features

  • M/M/1 and M/M/c models
  • Performance measures
  • Little's Law
  • Step-by-step calculations
Business Analytics

Economic Order Quantity (EOQ)

Determine optimal order quantity to minimize total inventory costs including ordering and holding costs

Features

  • Inventory optimization
  • Cost minimization
  • Reorder point calculation
  • Step-by-step analysis
Business Analytics

Breakeven Analysis

Calculate breakeven point and profit targets using cost-volume-profit analysis

Features

  • Cost-volume-profit
  • Breakeven calculation
  • Target profit analysis
  • Contribution margin
Project Management

PERT/CPM Analysis

Analyze project networks, identify critical paths, and calculate activity schedules

Features

  • Project scheduling
  • Critical path identification
  • Slack calculation
  • Time estimation
Finance

Portfolio Analysis

Calculate portfolio risk and return with diversification effects using modern portfolio theory

Features

  • Risk-return analysis
  • Diversification effects
  • Correlation matrix
  • Portfolio optimization
Linear Programming

Production Planning

Optimize production quantities to maximize profit subject to resource constraints

Features

  • Resource optimization
  • Profit maximization
  • Constraint analysis
  • Utilization metrics
Inventory Management

Inventory Control

Multiple inventory management techniques: EOQ, ABC Analysis, Safety Stock, and Reorder Point with step-by-step solutions

Features

  • EOQ Analysis
  • ABC Classification
  • Safety Stock
  • Reorder Point
  • Combined Analysis
Finance

Profit Margin / Mark-Up

Calculate profit margins, markups, and selling prices for pricing decisions

Features

  • Profit margin calculation
  • Mark-up percentage
  • Selling price determination
  • Cost accounting
Finance

Financial Ratio Analysis

Calculate key financial ratios: Current Ratio, ROE, Profit Margin, Debt Ratio, and more

Features

  • Liquidity ratios
  • Profitability ratios
  • Leverage ratios
  • Activity ratios
Finance

Cash Flow Forecast

Project cash balance over time with inflows and outflows analysis

Features

  • Period-by-period analysis
  • Cash balance projection
  • Liquidity planning
  • Financial forecasting
Finance

Loan / EMI Calculator

Calculate monthly EMI, total interest, and payment schedule for loans

Features

  • Monthly EMI calculation
  • Total interest payable
  • Payment schedule
  • Loan analysis
Inventory Management

Inventory Turnover

Calculate inventory turnover ratio and days of inventory for efficiency analysis

Features

  • Turnover ratio
  • Days of inventory
  • Holding period
  • Efficiency metrics
Finance

Depreciation Calculator

Calculate asset depreciation using straight-line or diminishing value methods

Features

  • Straight-line method
  • Diminishing value
  • Yearly schedule
  • Asset valuation
Finance

Compound Interest Calculator

Calculate future value and interest earned with compound interest calculations

Features

  • Future value calculation
  • Effective annual rate
  • Period breakdown
  • Investment planning
Finance

NPV & IRR Calculator

Discount cash flows to find net present value, internal rate of return, profitability index, and payback period

Features

  • Net Present Value
  • Internal Rate of Return
  • Payback & discounted payback
  • Profitability index
Operations Research

Game Theory

Solve two-person zero-sum games — saddle points, mixed strategies, and the game value via linear programming

Features

  • Saddle point detection
  • Pure & mixed strategies
  • Game value
  • Maximin / Minimax
Operations Research

Decision Analysis

Evaluate decisions under risk and uncertainty with EMV, EVPI, and classic decision criteria

Features

  • EMV & EVPI
  • Maximax / Maximin
  • Hurwicz & Laplace
  • Minimax regret
Business Analytics

Forecasting

Forecast time series with moving averages, exponential smoothing, and linear trend, with accuracy metrics

Features

  • Moving & weighted averages
  • Exponential smoothing
  • Linear trend
  • MAD / MSE / MAPE
Business Analytics

Standard Deviation & Statistics

Mean, median, mode, variance, standard deviation (sample & population), quartiles and IQR with steps

Features

  • Mean / median / mode
  • Sample & population std dev
  • Quartiles & IQR
  • Coefficient of variation
Business Analytics

Linear Regression & Correlation

Least-squares line of best fit, Pearson correlation (r), R², covariance, and predictions with steps

Features

  • Line of best fit
  • Correlation coefficient r
  • R² & covariance
  • Predictions
Business Analytics

Z-Score & Normal Distribution

Convert values to z-scores and find normal-distribution probabilities and percentiles with steps

Features

  • Z-score
  • P(X<x) and P(X>x)
  • Percentile
  • Normal CDF
Operations Research

0/1 Knapsack

Maximize value under a weight limit using dynamic programming — classic combinatorial optimization

Features

  • Dynamic programming
  • Optimal subset
  • Capacity constraint
  • Step-by-step DP
Network Optimization

Maximum Flow

Compute maximum flow and min-cut in a capacitated network with Edmonds–Karp augmenting paths

Features

  • Edmonds–Karp
  • Augmenting paths
  • Min-cut edges
  • Residual network
Operations Research

Job Sequencing (Johnson's Rule)

Sequence jobs on a two-machine flow shop to minimize makespan using Johnson’s rule

Features

  • Johnson's rule
  • Makespan minimization
  • Machine schedule
  • Idle-time analysis
Inventory Management

Economic Production Quantity

Optimal production lot size when replenishment is finite (production rate exceeds demand)

Features

  • Finite replenishment
  • Max inventory
  • Setup vs holding
  • Lot sizing
Finance

WACC Calculator

Weighted average cost of capital from equity, debt, preferred stock, and tax shield

Features

  • Cost of capital
  • After-tax debt
  • Capital weights
  • Preferred stock
Operations Research

AHP Decision Maker

Analytic Hierarchy Process with Saaty pairwise comparisons, weights, and consistency ratios

Features

  • Pairwise matrices
  • Geometric-mean weights
  • Consistency ratio
  • Multi-criteria ranking
Operations Research

Learning Curve

Wright learning-curve model for unit and cumulative time under a percent learning rate

Features

  • Learning index b
  • Unit time Tn
  • Cumulative time
  • Average time
Operations Research

Equipment Replacement

Economic life analysis minimizing average annual cost or equivalent annual cost with interest

Features

  • Economic life
  • Average cost table
  • Salvage & ops costs
  • Optional interest
Operations Research

Markov Chains

Steady-state probabilities and n-step projections for discrete-time Markov chains

Features

  • Steady-state π
  • Transition matrix
  • n-step forecast
  • Row-stochastic P
Business Analytics

Monte Carlo Simulation

Simulate risk with uniform, triangular, or normal inputs and percentile outputs

Features

  • Custom expression
  • P10/P50/P90
  • Seeded RNG
  • Mean & stddev
Project Management

CPM Project Crashing

Crash critical activities by cost slope to meet a target project duration

Features

  • Time-cost tradeoff
  • Critical path
  • Crash cost
  • Target duration
Business Analytics

Hypothesis Testing & ANOVA

One-sample t, two-sample t, and one-way ANOVA with p-values and critical values

Features

  • t-tests
  • One-way ANOVA
  • p-value
  • Reject / fail H0

Getting Started

Select any solver from the list above to start solving your optimization problems. Each solver includes step-by-step instructions and detailed explanations to help you understand the solution process.

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