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Operations Management
The management of systems or processes that create goods and provide services.
Transformation Process
A process where inputs are transformed into outputs and value is added.
Four Inputs of Operations
Land, labor, capital, and information.
Outputs of Operations
Goods and services.
Feedback (Operations)
Measurements taken at various points in the transformation process.
Control (Operations)
Comparing feedback with established standards to determine if corrective action is needed.
Supply Chain
A sequence of activities and organizations involved in producing and delivering a good or service.
Four Sources of Variation
Variety of goods/services, structural variation in demand, random variation, and assignable variation.
Effects of Variation
Extra costs, delays, shortages, poor quality, and inefficient work systems.
Three Basic Business Functions
Operations (produces goods/services), Finance (manages funds), and Marketing (provides demand information).
System Design Decisions
Strategic, long-term decisions about capacity, facility location, layout, product planning, and equipment.
System Operation Decisions
Tactical and operational decisions about personnel, inventory, scheduling, projects, and quality.
Model
A simplified representation of reality used to focus on important factors and compare alternatives.
Systems Approach
Viewing the organization as a whole because decisions in one area affect other areas.
Forecast
A statement about the future value of a variable of interest.
Two Important Aspects of Forecasts
Expected level of demand and forecast accuracy or error size.
Qualitative vs. Quantitative Forecasting
Qualitative uses subjective opinions; quantitative uses hard data and historical projections.
Four Qualitative Forecasting Techniques
Executive opinions, salesforce opinions, consumer surveys, and the Delphi method.
Naive Forecast Formula
F_t = A(t-1)
Moving Average Formula
F_t = [A(t-1) + ... + A(t-n)] / n
Exponential Smoothing Formula
F_t = F(t-1) + alpha[A(t-1) - F(t-1)]
Linear Trend Equation
Y_t = a + bt (where a is intercept, b is slope, t is time period).
Simple Linear Regression Equation
Y = a + bX (where Y is predicted value, X is predictor variable).
Correlation Coefficient (r)
Measures the strength and direction of the linear relationship between two variables (-1.00 to +1.00).
Coefficient of Determination (r^2)
The percentage of variation in Y explained by the independent variable.
MAD (Mean Absolute Deviation)
MAD = sum(|A_t - F_t|) / n. Treats all errors evenly.
MSE (Mean Squared Error)
MSE = sum[(A_t - F_t)^2] / (n - 1). Gives more weight to large errors.
MAPE (Mean Absolute Percentage Error)
MAPE = [sum(|A_t - F_t| / A_t) * 100] / n.
Design Capacity
The maximum output rate or service capacity a facility is designed for.
Effective Capacity
Design capacity minus allowances such as personal time and maintenance.
Bottleneck
An operation whose capacity is lower than the capacity of the other operations.
Constraint
Anything that limits a process or system from achieving its goals.
Economies of Scale
When output is below optimal, increasing output decreases average cost per unit.
Diseconomies of Scale
When output is above optimal, increasing output increases average cost per unit.
Total Cost Formula
TC = FC + vQ
Total Revenue Formula
TR = RQ
Profit Formula
P = TR - TC or P = Q(R - v) - FC
Break-Even Quantity Formula
BEP = FC / (R - v)
Contribution Margin per Unit
R - v (Revenue per unit minus variable cost per unit).
Decision Theory
A method for making decisions when there are alternatives, future conditions, and known payoffs.
Three Decision Environments
Certainty (parameters known), Risk (probabilities estimated), and Uncertainty (probabilities unknown).
Maximax Criterion
Choose the alternative with the best possible payoff.
Maximin Criterion
Choose the alternative with the best of the worst possible payoffs.
Laplace Criterion
Assume all states of nature are equally likely and choose the alternative with the best average payoff.
Minimax Regret Criterion
Choose the alternative with the smallest maximum regret.
Expected Monetary Value (EMV)
EMV = sum(Probability of state * Payoff). Choose the alternative with the highest EMV.
Decision Tree Node Types
Square node represents a decision point; circular node represents a chance event.
Expected Value of Perfect Information (EVPI)
EVPI = Expected payoff under certainty - Best EMV under risk.