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Statement of Work (SOW)
A written description of project objectives, scope, risks, costs, payment terms, resources, tasks, team, timeline, deliverables, and milestones.
Scope Statement
A statement of project inclusions, exclusions, deliverables, constraints, and limitations; often part of the SOW.
Risk
An uncertain factor or event that might interfere with successful project completion.
Contingency Plan
A backup plan created to handle project risks if they occur.
Scope Creep
Extra unapproved tasks being added to a project, which can hurt the schedule and budget.
Work Breakdown Structure (WBS)
The breakdown of a project into broader activities and detailed tasks/work packages.
Work Package
The smallest unit of work in a WBS; has a specific scope, timeline, resources, and cost.
Responsibility Assignment Matrix (RAM)
A matrix showing who is responsible for each work package; helps accountability, cost control, and timeliness.
Gantt Chart
A visual scheduling tool with bars that show task timing, duration, progress, and sequence.
Slack Time
The amount of time an activity can be delayed without delaying the project or a later activity.
PERT
Program Evaluation and Review Technique; a project scheduling method used when activity times are uncertain and three time estimates are used.
CPM
Critical Path Method; a project scheduling method used when activity times are known with certainty.
PERT vs. CPM
PERT uses probabilistic activity times with three estimates; CPM uses deterministic activity times with one estimate.
Node
A circle or point in a PERT/CPM network that represents an activity or task.
Precedence Relationship
The required order of activities; shows which tasks must happen before others can start.
Optimistic Time (OT)
The shortest possible activity time if everything goes right.
Most Likely Time (MT)
The most realistic activity time, allowing for normal problems.
Pessimistic Time (PT)
The longest possible activity time if things go wrong.
Expected Completion Time (ECT)
The weighted average project/activity time estimate in PERT; formula: ECT = (OT + 4MT + PT) / 6.
Earliest Finish (EF)
The earliest time an activity can finish; formula: EF = ES + ECT.
Latest Finish (LF)
The latest time an activity can finish without delaying project completion; equals the earliest/smallest LS of immediate successors.
Latest Start (LS)
The latest time an activity can start without delaying project completion; formula: LS = LF - ECT.
Slack Formula
LS - ES or LF - EF
Critical Path
The longest path through the project network; it determines the shortest possible project completion time.
Critical Activity
An activity on the critical path; it has zero slack and delays the whole project if delayed.
Critical Path Rule
The critical path has the largest total ECT, zero slack activities, and there can be more than one critical path.
Activity Variance
A PERT measure of uncertainty in an activity time; formula: variance = ((PT - OT) / 6)^2.
Critical Path Variance
The sum of the activity variances for activities on the critical path.
TE
The expected project completion time; sum of ECTs along the critical path.
Z-Score for Project Probability
A measure of how many standard deviations the deadline is from the expected completion time; formula: z = (T - TE) / critical path standard deviation.
Sprint
A small Agile work increment with minimal planning, often lasting up to four weeks.
Scrum
A popular Agile framework using customer-centered feedback and frequent team communication to complete deliverables faster.
Lowballing
Unethically underpricing a contract to win a bid, hoping to renegotiate later.
Bid Rigging
Colluding with bidders to fix prices, manipulate bids, or rotate winners.
Expense Account Padding
Falsely reporting time or expenses.
Bribery
Giving or receiving bribes or kickbacks.
Non-disclosure
Concealing important project information about safety, quality, cost, or outcomes.
False Status Reporting
Altering project status reports to hide delays, problems, or project failure.
Inventory
Items held by a company to meet customer demand, support production, or avoid shortages.
Inventory Management
Managing inventory levels to balance customer service with inventory costs.
High Inventory Argument
Higher inventory improves product availability, reduces stockouts/backorders/lost sales, lowers shipping per unit, may earn discounts, and improves labor/equipment use.
Low Inventory Argument
Lower inventory reduces interest/opportunity costs, storage/handling costs, taxes, insurance, shrinkage, obsolescence, and deterioration.
Stockout
When inventory is unavailable when needed, possibly causing backorders, lost sales, or expedited shipping.
Backorder
An order that cannot be filled immediately because inventory is not available.
Holding Cost
Cost of carrying inventory over time, including storage, handling, capital cost, taxes, insurance, shrinkage, and obsolescence.
Carrying Cost
Another name for holding cost.
Ordering Cost
Cost incurred when placing an order with a vendor, such as preparing orders, finding suppliers, evaluating bids, and clerical support.
Setup Cost
Cost to prepare a machine or process to produce an order, including changeover labor, cleaning, tools, fixtures, scrap, and rework.
Shrinkage
Inventory loss from theft, vendor fraud, administrative errors, obsolescence, or deterioration.
Obsolescence
Inventory becoming unusable or unsellable because of model, engineering, or market changes.
Deterioration
Physical spoilage or damage to inventory.
Average Inventory
The average amount of inventory held; formula: Average Inventory = (Beginning Inventory + Ending Inventory) / 2.
Average Inventory in EOQ
Formula: Average Inventory = Q / 2.
EOQ
Economic Order Quantity; the optimal order quantity that minimizes total annual inventory cost.
EOQ Model
A model that balances holding costs and ordering costs to minimize total inventory cost.
EOQ Objective
Minimize total annual inventory cost.
EOQ Point
The order quantity where total holding cost equals total ordering cost.
EOQ Formula
EOQ = square root of (2DS / H).
D in EOQ
Annual demand.
S in EOQ
Ordering cost per order, or setup cost per setup.
H in EOQ
Holding cost per unit per year.
Q in EOQ
Order quantity; in the EOQ model, Q and EOQ refer to the same optimal order quantity.
Total Holding Cost
The annual cost of holding inventory; formula: Total Holding Cost = (Q / 2)H.
Total Ordering Cost
The annual cost of placing orders; formula: Total Ordering Cost = (D / Q)S.
Total Annual Inventory Cost (TIC)
Total annual ordering cost plus total annual holding cost; formula: TIC = (D / Q)S + (Q / 2)H.
Number of Orders
The expected number of orders per year; formula: Number of Orders = D / Q.
Time Between Orders
The average time between orders; formula: Working days per year / Number of Orders.
Demand Rate per Period
Annual demand divided by the number of working days or weeks per year.
Reorder Point
The inventory level at which a new order should be placed; basic formula: Reorder Point = Demand rate per period x Lead time.
Lead Time in Inventory
The time between placing an order and receiving it.
EOQ Assumption: Demand
Demand is known, constant, and independent.
EOQ Assumption: Lead Time
Lead time is known and constant.
EOQ Assumption: Receipt
Inventory receipt is instantaneous and complete.
EOQ Assumption: Quantity Discounts
Quantity discounts are not possible.
EOQ Assumption: Variable Costs
Only holding costs and ordering/setup costs vary.
EOQ Assumption: Stockouts
Stockouts can be completely avoided.
Robust EOQ Model
The EOQ model still works fairly well even when demand, holding cost, or order cost estimates are not perfectly accurate.
Ordering Cost vs. Order Quantity
Ordering cost decreases as order quantity increases because fewer orders are placed.
Holding Cost vs. Order Quantity
Holding cost increases as order quantity increases because more inventory is held.
Ordering and Holding Cost Relationship
Total ordering costs and total holding/carrying costs have an inverse relationship.
Independent Demand
Demand for an item that is independent of demand for other inventory items; usually forecasted.
Dependent Demand
Demand for an item that depends on demand for another inventory item; scheduled using MRP.
Finished Product
A final item sold to customers; often has independent demand.
Raw Material
Basic input used to make a product; usually has dependent demand.
Subassembly
A partially assembled component used in a finished product; usually has dependent demand.
Material Requirements Planning (MRP)
An inventory control and production planning system that schedules the right materials, in the right quantity, at the right time/place, to reduce unnecessary inventory and cost.
MRP Goal
Schedule dependent-demand materials accurately to minimize inventory, waste, and cost.
MRP Best Fit
Best for dependent demand items, discrete demand items, complex products, batch production, and assemble-to-order environments.
MRP vs. EOQ
MRP schedules dependent demand components based on production needs; EOQ manages independent demand by balancing ordering and holding costs.
Discrete Demand
Demand that occurs in specific quantities at specific times, instead of continuously.
Master Production Schedule (MPS)
An MRP input showing how many finished products are needed and when they are needed.
MPS Purpose
Drives the MRP process by scheduling finished products.
MPS Quantity Meaning
What needs to be produced, not necessarily what can be produced.
Bill of Materials (BOM)
A database/list of all items, components, subassemblies, and raw materials that make up a product.
Product Structure Tree (PST)
A hierarchical tree created from BOM data that shows parent-child relationships among product components.
BOM vs. PST
BOM is the database/list of product components; PST visually shows the hierarchy and relationships.
Parent Item
An item above another item in the product structure tree.
Child Item
An item below another item in the product structure tree.
Level 0
The finished product level in a product structure tree.
Low-Level Code
The lowest level where an item appears in the BOM/PST; important when an item appears at multiple levels.