Operations:
Process View of an Organization:
Economic Order Quantity (EOQ) | Economic Production Quantity (EPQ) | |
---|---|---|
Inventory Replenishment | Inventory is replenished in batches at once | Inventory is received gradually because the items are produced and added to stock as they are manufactured. |
Applicability | Used by retailers and distributors who order finished goods from suppliers | Used by manufacturers who produce and use items they produce |
Cost Considerations | Balancing ordering and holding costs | Balancing setup and holding costs |
Notations | ||
Q | = Order Quantity | |
D | = Demand per year | |
d | = demand rate per day | |
𝑆 | = Ordering cost per order | |
H | = Holding cost per unit per year | |
H | = C_i × U | |
𝑈 | = unit cost | |
Qp | = Production Quantity | |
D | = Demand per year | |
d | = demand rate per day | |
p | = production rate per day | |
𝑆 | = Setup cost per production run | |
H | = Holding cost per unit per year | |
H | = C_i × U | |
𝑈 | = unit cost | |
Maximum Inventory | 𝑄 | I{max} = Qp * \frac{p-d}{p} |
Average Inventory | \frac{𝑄}{2} | \frac{I_{max}}{2} |
Inventory cycle time | \frac{Q}{D} \ days | \frac{Q_p}{D} \ days |
Production run time | \frac{Q_p}{p} \ days | |
Number of orders | \frac{D}{Q} | |
Number of production runs | \frac{D}{Q_p} | |
Annual Ordering Cost | 𝑆 × \frac{𝐷}{𝑄} | 𝑆 × \frac{𝐷}{𝑄_p} |
Annual Holding Cost | 𝐻 × (\frac{𝑄}{2} + Saftey \ Stock) | 𝐻 × \frac{I_{max}}{2} |
Annual Product Cost | 𝑈 × 𝐷 | |
Optimal solution | 𝐸𝑂𝑄 = 𝑄^* = \sqrt{\frac{2DS}{H}} | 𝐸𝑃𝑄 = 𝑄_p^* = \sqrt{\frac{2 ∗ 𝐷 ∗ 𝑆}{ 𝐻} × (\frac{ 𝑝}{ 𝑝 − 𝑑}} ) |
Reorder point (ROP) | ROP = d × LT + Safety Stock | |
average demand rate | \overline{d} | |
average supplier lead time | \overline{LT} | |
Safety Stock (SS) | z × 𝜎_{ddLT} | |
z | = factor related to service level | |
standard deviation of demand during lead time | 𝜎{d d L T}= \sqrt{ \overline{LT} × 𝜎d^2 + \overline{d}^2 𝜎_{LT}^2 } |
Formula | Notations | |
---|---|---|
Naïve | F{t+1} = dt | F{t+1} = forecast for period t+1 , dt = actual demand of period t |
Simple Moving Average | F{t+1} = \frac{dt + d{t-1} + d{t-2} + … + d_{t-n}}{n} | F{t+1} = forecast for period t+1 , dt = actual demand of period t |
n = number of past periods | ||
Weighted Moving Aver. | F{t+1} = a1d{t} + a2d{t-1} + … + and_{t-n} | F{t+1} = forecast for period t+1 , dt = actual demand of period t |
a_t = weight assigned to actual demand in period t | ||
Exponential Smoothing | F{t+1} = αdt + (1-α)F_t | F{t+1} = forecast for period t+1 , dt = actual demand of period t , F_t = forecast for period t |
α = The weight given to most actual demand. |
Abbreviation | Formula | Comments | |
---|---|---|---|
Forecast error | E (or D) | et = dt - F_t | • e_t = forecast error for period t |
Bias | MFE | \frac{\sum{t=1}^{N} et}{N} | • Averages the errors over N periods, N = number of error data |
Mean Absolute Deviation | MAD | $$ \frac{\sum_{t=1}^{N} | e_t |
Mean Percent Error | MPE | \frac{\sum{t=1}^{N} 100* (\frac{et}{d_t})}{N} | • Averages the errors relative to actual, Highlights consistent over or under predictions |
Mean Absolute Percent Error | MAPE | $$ \frac{\sum_{t=1}^{N} 100* (\frac{ | e_t |
Mean Square Error | MSE | \frac{\sum{t=1}^{N} (et)^2}{N-1} | • Squares errors before averaging, large errors weigh more heavily. |
Root of MSE | RMSE | \sqrt{MSE} |
At what level? | Example Decisions | |
---|---|---|
Strategic (long-term) | A business unit | - Find new sources of supply, -Contract for transportation, - Open or close a location - A necessary input into S&OP meeting |
Tactical planning | It is also called “Aggregate planning” and “Sales and Operations Planning” | A product family within a region |
Operational planning | One product at one location | - Daily production schedule, Daily work schedule, Purchase orders |
Component | Inputs | Outputs |
---|---|---|
MKT & Sales | • Market trends, • Sales forecasts • Promotional plan | Aggregate demand plan • Sales Targets and Quotas • Promotional and Launch Plans • Market Intelligence Feedback |
Operations | Resource Plan • Production capacity • Inventory levels • Supplier capabilities | Aggregate production plan • Production Schedules • Inventory Management Plans • Supplier and Procurement Schedules |
Finance | • Supplies budget constraints, • Financial performance data • Cost information. | • Budget Allocations • Cash Flow Projections • Cost Management Plans |
StrategicLeadership | • Company strategy • Long-term goals • Overall direction | • Strategic Alignment Reports • Risk Management Strategies • Performance Dashboard |
What is Quality?
8 Dimensions of Product Quality:
Performance – Does what it's supposed to
Conformance – Meets design specs
Features – Bonus functions or extras
Aesthetics – Look, feel, style
Reliability – Works every time
Durability – Lasts over a long time
Serviceability – Easy to fix
Perceived Quality – Customer’s impression
5 Dimensions of Service Quality (RATER):
Reliability – Consistent delivery
Assurance – Inspires trust
Tangibles – Appearance of space, people, tools
Empathy – Personal attention
Responsiveness – Quick and helpful
Gap | Name | Description |
---|---|---|
1 | Knowledge Gap | What the company thinks customers want ≠ Customer expectations |
2 | Design Gap | Product design ≠ What the company thinks customers want |
3 | Delivery Gap | Actual delivery ≠ The way the product was designed to be delivered |
4 | Communication Gap | What the company communicates externally ≠ What is actually delivered |
5 | Perception Gap | What the customer thinks they received ≠ What was actually delivered |
6 | Satisfaction Gap | Customer expectations ≠ Customer perceptions of the experience |
Type | Description |
---|---|
Cost of Good Quality | |
✅ Prevention Costs | Costs to prevent defects and issues before they happen |
✅ Appraisal Costs | Costs to check, inspect, and/or measure quality |
Cost of Bad Quality | |
❌ Internal Failure Costs | Costs of fixing mistakes before output reaches customer |
❌ External Failure Costs | Costs of fixing mistakes after output reaches customer |
Era / Approach | Focus | Core Idea (Catchy Slogan) |
---|---|---|
Quality Control (QC) | Product | "Find it and fix it—before the customer does." |
Quality Assurance (QA) | Process | "Fix the process, not just the product." |
Total Quality Management | Company | "Quality isn’t a department—it’s a culture." |
Lean | Zero Waste | "Cut the clutter—only what adds value stays." |
Six Sigma | Zero Defect | "Consistency through controlling variation" |
Lean Concept | Tool | |
---|---|---|
1 | Value | Value Stream Mapping |
2 | Waste Elimination | TIMWOODS Checklist |
3 | Continuous Improvement (Kaizen) | A3 Problem Solving |
4 | Flow | Takt Time |
5 | Pull | Kanban |
6 | Respect for People | Gemba Walks |
7 | Leveling | Heijunka Box |
8 | Quality at the Source | Andon System |
9 | Go to Gemba | Gemba Observation Template |
10 | Standardization | Standard Work Sheet |
Six Sigma Concept | Quality Tool | |
---|---|---|
1 | Define the Problem Clearly | SIPOC Diagram |
2 | Voice of the Customer (VOC) | CTQ Tree |
3 | Voice of the Process (VOP) | Run Charts or Histograms |
4 | Measure What Matters | Data Collection Plan |
5 | Specification Limits (USL/LSL) | CTQ Specs & Control Charts |
6 | Control Limits (UCL/LCL) | Control Charts |
7 | Understand Variation | Control Charts |
8 | Analyze Root Causes | Fishbone Diagram / Pareto Chart |
9 | Sigma Level Thinking | DPMO Calculator / Sigma Level Table |
10 | Structured Problem Solving (DMAIC) | DMAIC Roadmap |