Presentation on theme: "Selecting an Insurance Carrier Based on Geographic Coverage Using the Spherical Law of Cosines John Toczek Decision Support Aramark."— Presentation transcript:
Selecting an Insurance Carrier Based on Geographic Coverage Using the Spherical Law of Cosines John Toczek Decision Support Aramark
Background 180,000 Employees in the U.S. Thousands of injuries each year State requirements for emergency care
Quiz A BlueCross AetnaCigna BC Which insurance company should I choose for best coverage?
Quiz A BlueCrossAetnaCigna BC Which insurance company should I choose for best coverage?
ARAMARK and 'Provider A' Emergency Care Locations
Pairing Aramark locations to Emergency Care locations 4859 rows453 rows Aramark locations'Provider A' emergency locations
DATA COMBOS; set ARAMARK; if _N_ <=453; *Aramark locations (453max); do i=1 to 4859; *Emergency locations (4859max); set EMERGENCY point=i nobs=n; output; end; run; Pairing Aramark locations to Emergency Care locations
DATA COMBOS; 2.5 million rows
arcos( sin(A-lat*0.0174)*sin(B-lat*0.0174) + cos(A-lat*0.0174)*cos(B-lat*0.0174)*cos(B-lon* A-lon*0.0174) )*3959; Distance between two points on a sphere = Spherical Law of Cosines Calculating the distance between two points on a sphere in SAS
DATA DISTANCE; SET COMBOS; DIST = arcos(sin(A_Lat* ) *sin(E_Lat* )+cos(A_Lat* ) *cos(E_Lat* )*cos(E_lon* A_Lon* )) *3959; RUN; Calculating the distance between two points on a sphere in SAS Spherical Law of Cosines
Why not use Pythagorean? 3% error between SLOC and Pythagorean For 100 miles actual distance, Pythagorean would show 97 miles. Small but significant for this application
Abstract Selecting an Occupational Medicine Network Provider Based on Geographic Coverage Using the Spherical Law of Cosines ARAMARK corporation employs 200,000 people domestically and is a leading provider of food and facilities management services to Business, Education, Healthcare, and Sports and Entertainment clients in the US, generating $11.6 billion of sales in In order to provide timely and efficient medical treatment to its employees in the event of an injury, in certain states where permitted by law, ARAMARK selects an occupational medicine network provider who has Urgent Care Facilities (UCF) near ARAMARK locations of business. In choosing an occupational medicine provider, ARAMARK must select one that provides the most comprehensive geographic network of these UCFs so that response time and injury severity are minimized. SAS, in conjunction with the Spherical Law of Cosines, is used to calculate the distance between each ARAMARK location and each UCF. This amounts to over 2 million separate distance calculations for California alone. To find the nearest UCF, the data is collapsed using a DEFINE DISTANCE / MIN within a PROC REPORT. The resulting table is a list of ARAMARK locations, the nearest UCF, and the distance to that UCF. Runtime for the code is under 5 minutes. John Toczek is an Operations Research Analyst for ARAMARK Corporation in the Global Risk Management Division. He earned his Bachelor of Science degree in Chemical Engineering at Drexel University (1996) and his Master of Science in Operations Research from Virginia Commonwealth University (2005). He can be reached at