Key Formulas & Equations
Average Length of Stay: ALoS = Total patient days / Number of discharges
Turnover Rate: TR = Discharges / Average beds
Bed Turnover Interval: BTI = (Available beds - occupied) / Discharges
Full-Time Equivalent: FTE = Total hours worked / Hours per FTE
Overtime Rate: OTR = Overtime hours / Regular hours ร 100%
Absenteeism Rate: AR = (Absent days / Working days) ร 100%
Cost per Case: Cost = Total costs / Number of cases
Revenue per Patient: Revenue = Total revenue / Number of patients
Profit Margin: PM = (Revenue - Costs) / Revenue ร 100%
Waiting Time: W = L / ฮป (Little's Law: W = WIP / throughput)
Return on Investment: ROI = (Net profit / Investment) ร 100%
Break-Even Point: BEP = Fixed costs / (Price - Variable cost)
Core Concepts
Healthcare Management
Planning, organizing, directing, and controlling healthcare services. Includes strategic planning, operations management, and performance measurement.
Health Information Systems
Technology for managing health data: electronic health records (EHR), health information exchange (HIE), and clinical decision support systems.
Quality Improvement
Systematic approaches to improve healthcare quality: Six Sigma, Lean, PDCA cycles, and continuous quality improvement (CQI) methodologies.
Healthcare Finance
Management of financial resources in healthcare: budgeting, cost accounting, revenue cycle management, and healthcare reimbursement systems.
Health Policy
Decisions and actions to achieve healthcare goals. Includes policy analysis, advocacy, and implementation at local, national, and global levels.
Human Resources in Healthcare
Management of healthcare workforce: recruitment, retention, training, and development. Addresses staffing shortages and burnout.
Risk Management
Identification and mitigation of risks in healthcare: patient safety, medical errors, liability, and emergency preparedness.
Healthcare Ethics
Moral principles in healthcare management: resource allocation, patient rights, end-of-life care, and organizational ethics.
Worked Examples
Example 1: Bed Occupancy Rate
Problem: A hospital has 200 beds and 180 average occupied beds. Calculate BOR.
Solution:
BOR = 180/200 ร 100% = 90%
Example 2: Cost per Patient Day
Problem: Monthly operating cost = $500,000, patient days = 3,000. Calculate CPD.
Solution:
CPD = 500,000/3,000 = $166.67 per patient day
Example 3: Break-Even Analysis
Problem: Fixed costs = $100,000, price = $500, variable cost = $300. Calculate break-even point.
Solution:
BEP = 100,000/(500-300) = 500 patients
Practice Problems
Problem 1
Calculate ALoS if total patient days = 4,500 and discharges = 900.
Answer: ALoS = 4,500/900 = 5 days
Problem 2
Calculate FTE if total hours = 10,000 and FTE hours = 2,080.
Answer: FTE = 10,000/2,080 = 4.8 FTEs
Problem 3
Calculate profit margin if revenue = $1,000,000 and costs = $850,000.
Answer: PM = (1,000,000 - 850,000)/1,000,000 ร 100% = 15%
Problem 4
Calculate capacity utilization if actual output = 800 and maximum capacity = 1,000.
Answer: CU = 800/1,000 ร 100% = 80%
Problem 5
Calculate absenteeism rate if absent days = 120 and working days = 2,000.
Answer: AR = 120/2,000 ร 100% = 6%
Problem 6
Calculate ROI if net profit = $50,000 and investment = $200,000.
Answer: ROI = 50,000/200,000 ร 100% = 25%
Problem 7
Calculate turnover rate if discharges = 1,200 and average beds = 150.
Answer: TR = 1,200/150 = 8 patients per bed per period