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66 Terms

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Management Science

A scientific approach to solving management problems using quantitative analysis and mathematical modeling to support decision-making.

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Problem Solving

The systematic process of identifying differences between current and desired states and resolving them using logical methods.

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Scientific Method

A structured process involving observation, problem definition, model construction, solution, and implementation to solve management problems.

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Observation

The first step of the scientific method; identifying problems in the organization through ongoing monitoring.

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Problem Definition

The second step; clearly and precisely stating the problem and organizational objectives to guide model development.

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Model Construction

The third step; developing a mathematical or abstract representation of the problem using variables, parameters, and functional relationships.

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Model Solution

The fourth step; solving the constructed model using suitable mathematical techniques to find values for decision variables.

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Implementation

The final step in the process; applying the model’s solution in the organization. Often overlooked, but critical for impact.

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Feedback Loop

A concept indicating that failure in implementation may require re-evaluation, bringing the process back to earlier stages.

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Decision Variable

A symbol used in a model to represent a controllable input, the value of which is determined during optimization.

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Objective Function

A formula representing the goal of the model, such as maximizing profit or minimizing cost.

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Constraint

An equation or inequality in a mathematical model that imposes restrictions on decision variables.

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Variable

A symbol representing a quantity that can change or assume different values in a model.

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Parameter

A known constant value in a model, often serving as coefficients for variables, derived from data.

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Functional Relationship

A mathematical connection between variables, where one variable is dependent on another.

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Mathematical Model

A representation of a real problem using equations and numerical relationships among variables and parameters.

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Profit

The difference between total revenue and total cost.

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Break-even Analysis

A technique used to determine the point at which total revenue equals total cost, resulting in zero profit.

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Break-even Point

The volume where total revenue equals total cost; helps determine how many units must be sold to avoid loss.

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Fixed Cost

Costs that remain unchanged regardless of production levels.

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Variable Cost

Costs that vary depending on the level of production or activity.

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Cost-Volume-Profit (CVP) Analysis

An analytical model examining the relationship between cost, volume, and profit.

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Sensitivity Analysis

A technique used to assess how sensitive a model's outcomes are to changes in parameters or input values.

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Risk

The probability and consequences of negative outcomes associated with uncertain events.

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Uncertainty

The lack of certainty about future outcomes or events; not all variables are known.

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Spreadsheet

A digital tool used for modeling, data manipulation, and sensitivity or break-even analysis.

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Excel QM

An Excel add-in used for solving management science problems like break-even analysis, volume analysis, and graphical modeling.

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Linear Programming

A mathematical technique for optimization where relationships are linear; used to achieve an objective under constraints.

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Integer Programming

A linear programming method where some or all decision variables must be integers.

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Total Integer Model

A model in which all decision variables must be integers; used when fractional solutions are not acceptable.

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0–1 Integer Model

A model using binary decision variables, typically for yes/no decisions.

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Mixed Integer Model

A model that includes both integer and continuous variables.

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Goal Programming

A variation of linear programming that handles multiple objectives by prioritizing goals.

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Simplex Method

An algorithm used to solve linear programming problems efficiently.

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Transportation Method

A technique used to minimize cost in distributing goods from sources to destinations.

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Assignment Method

Used to assign resources/tasks on a one-to-one basis to optimize outcomes.

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Branch and Bound Method

A method used for solving integer and combinatorial optimization problems.

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Network Techniques

Techniques using visual diagrams to model systems (e.g., shortest path, project scheduling).

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Decision Analysis

A probabilistic method of evaluating decision alternatives under uncertain future conditions.

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Queuing Theory

A method used to analyze waiting lines or queues to improve service efficiency.

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Project Management (CPM/PERT)

Tools used for planning, scheduling, and controlling projects using network diagrams.

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Analytical Hierarchy Process (AHP)

A structured decision-making technique using pairwise comparisons in a hierarchy.

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Simulation

A technique that imitates real-world systems to analyze behavior under different scenarios.

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Forecasting

Predicting future demand or trends based on historical data to improve planning and reduce costs.

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Non-linear Programming

Optimization where relationships between variables are not linear.

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Game Theory

A method for analyzing competitive scenarios where outcomes depend on strategies of multiple players.

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Markov Analysis

A probabilistic method used to model state transitions over time in a system.

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Decision Support System (DSS)

A computer-based tool that aids decision-makers by integrating data, models, and a user interface.

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Data-Oriented DSS

A DSS focusing on data collection and analysis to support decisions.

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Model-Oriented DSS

A DSS emphasizing analytical models and mathematical techniques for decision-making.

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Online Analytical Processing (OLAP)

A type of DSS focused on complex, multidimensional data analysis for business decisions.

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Western Clothing Company Example

Used to illustrate break-even analysis using Excel QM by modeling cost, revenue, and profit.

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Project Management

The process of planning, organizing, and controlling resources to achieve specific goals within a defined time frame.

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CPM (Critical Path Method)

A project analysis technique using deterministic time estimates with activities shown as nodes.

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PERT (Program Evaluation and Review Technique)

A project analysis method using probabilistic time estimates, with activities shown as arrows between nodes.

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Project Objectives

A clear description of what a project aims to accomplish, including the time frame, cost, and expected outcomes.

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Project Scope

The boundaries of a project, detailing what is included and what constitutes project success.

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Contract Requirements

Managerial, reporting, and performance obligations defined for staff, suppliers, and subcontractors.

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Gantt Chart

A bar chart displaying project activities against time, used for simple project scheduling and tracking.

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Risk and Problem Analysis

The identification of potential delays or failures and plans to address them.

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Return on Investment (ROI)

A metric used to evaluate project gain relative to cost.

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Soft Return

Intangible project benefits like employee satisfaction or public image improvement.

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Project Team

A temporary group of individuals with diverse skills organized to execute a project.

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Project Manager

The individual responsible for coordinating project activities and ensuring timely completion within budget.

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Scope Statement

A document outlining project justification, goals, deliverables, and success criteria.

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Statement of Work (SOW)

A detailed work description for team members or subcontractors specifying duties and deliverables.