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Educational articles and guides on Operations Research topics

Understanding Linear Programming: A Complete Guide

Learn the fundamentals of linear programming, from basic concepts to advanced optimization techniques used in business and operations research.

Operations ResearchFeatured

The Simplex Method: Step-by-Step Explanation

Dive deep into the simplex method algorithm, understand how it works, and learn to apply it to solve linear programming problems efficiently.

Linear ProgrammingFeatured

Transportation Problem: Optimization in Logistics

Explore how the transportation problem helps minimize shipping costs while meeting supply and demand requirements in logistics and distribution networks.

Network Optimization

Assignment Problem: Optimal Job Matching

Master the assignment problem to efficiently allocate tasks to workers, minimize costs, and optimize resource utilization in business operations.

Linear Programming

Economic Order Quantity (EOQ): Optimizing Inventory Costs

Learn how the EOQ model helps businesses minimize total inventory costs by finding the optimal order quantity that balances ordering and holding costs.

Business AnalyticsFeatured

Financial Ratios: A Comprehensive Guide to Business Analysis

Discover how financial ratios help analyze a company's performance, liquidity, profitability, and efficiency to make informed business decisions.

Business AnalyticsFeatured

Compound Interest: The Power of Exponential Growth

Understand how compound interest works, why it's called the eighth wonder of the world, and how to leverage it for wealth building and financial planning.

Business Analytics

PERT and CPM: Project Scheduling and Management

Learn how Program Evaluation and Review Technique (PERT) and Critical Path Method (CPM) help manage complex projects, identify critical activities, and optimize project timelines.

Project ManagementFeatured

Portfolio Optimization: Balancing Risk and Return

Explore modern portfolio theory, learn how to optimize investment portfolios, and understand the relationship between risk and return in financial decision-making.

Business AnalyticsFeatured

Breakeven Analysis: Understanding Cost-Volume-Profit Relationships

Master breakeven analysis to determine sales volumes needed to cover costs, understand profitability thresholds, and make informed pricing and production decisions.

Business Analytics

Queue Theory: Managing Waiting Lines and Service Systems

Discover how queue theory helps optimize service systems, reduce waiting times, and improve customer satisfaction in various industries from healthcare to telecommunications.

Operations Research

Shortest Path Problem: Route Optimization in Networks

Learn how shortest path algorithms find optimal routes in networks, from GPS navigation to network routing, and discover applications in logistics and operations.

Network Optimization

Integer Programming: Discrete Optimization Solutions

Explore integer programming, a powerful optimization technique for problems requiring discrete decisions, from facility location to production planning with binary and integer variables.

Operations ResearchFeatured

How to Calculate Standard Deviation (Step-by-Step with Examples)

A clear, worked guide to calculating standard deviation by hand — including the difference between sample and population standard deviation, variance, and when to use each.

StatisticsFeatured

Linear Regression Explained: Line of Best Fit, r, and R²

Learn how to find the least-squares regression line by hand, interpret the correlation coefficient (r) and R², and make predictions — with a fully worked example.

StatisticsFeatured

How to Calculate a Z-Score and Find Probabilities

Understand what a z-score is, how to calculate it, and how to convert it into a probability or percentile using the normal distribution — with worked examples.

Statistics

The Simplex Method: A Step-by-Step Worked Example

Learn how the Simplex method solves linear programming problems, with a complete worked example showing slack variables, the tableau, pivoting, and reading the optimal solution.

Operations ResearchFeatured

Transportation Problem: North-West Corner and MODI Method Explained

A step-by-step guide to solving the transportation problem — building an initial feasible solution with the North-West Corner method and optimizing it with MODI.

Operations Research

Economic Order Quantity (EOQ): Formula, Example, and Reorder Point

Learn the EOQ formula, work through a complete inventory example, and see how to calculate the reorder point to minimize total inventory cost.

Business Analytics

PERT and CPM: How to Find the Critical Path (Worked Example)

Understand PERT and CPM project scheduling: compute expected activity times, run the forward and backward pass, find slack, and identify the critical path.

Project Management

LP Toolkit: Simplex, Graphical, Integer, and Duality

How Solver360’s linear programming tools fit together — when to use Simplex vs graphical method, when integers matter, and how dual variables become shadow prices.

Operations ResearchFeatured

The Assignment Problem: Hungarian Method Step by Step

Learn how the Hungarian algorithm finds the minimum-cost one-to-one assignment of workers to jobs, with a fully worked example including row/column reduction and line covering.

Operations Research

Queuing Theory: The M/M/1 Model Explained with Examples

Understand the M/M/1 single-server queue: arrival and service rates, utilization, and how to calculate the average number and time in the system and queue.

Operations Research

NPV vs IRR: How to Evaluate an Investment (Worked Example)

Understand Net Present Value and Internal Rate of Return, how they differ, when they disagree, and how to use both to make capital-budgeting decisions.

FinanceFeatured

Break-Even Analysis: Formula, Example, and Target Profit

Learn how to calculate the break-even point in units and revenue, understand the contribution margin, and find the sales needed to hit a target profit.

Business Analytics

Game Theory Basics: Saddle Points and Mixed Strategies

Learn how to solve two-person zero-sum games — finding a pure-strategy saddle point and computing optimal mixed strategies and the value of the game.

Operations Research

Decision Analysis: EMV, EVPI, and Decision Criteria Explained

Learn to make decisions under risk and uncertainty using Expected Monetary Value, EVPI, and the Maximax, Maximin, Hurwicz, Laplace, and Minimax Regret criteria.

Operations Research

Forecasting Methods: Moving Average vs Exponential Smoothing

Compare the main time-series forecasting methods — moving average, weighted moving average, exponential smoothing, and linear trend — and learn to measure accuracy with MAD, MSE, and MAPE.

Business Analytics

Compound Interest and the Time Value of Money Explained

Understand compound interest, future value, compounding frequency, and the effective annual rate — with worked examples and the difference from simple interest.

Finance

Inventory Control: ABC Analysis, Safety Stock, and Reorder Point

A practical guide to inventory management: classify items with ABC analysis, calculate safety stock for a service level, and set the reorder point.

Business Analytics

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