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Table 3 Description of indices, parameters & variables

From: Modeling hospital infrastructure by optimizing quality, accessibility and efficiency via a mixed integer programming model

Notation Description
Indices
d Diagnosis group
f Facility
p Zip code area
q Zip code area
Parameters
a d The slope of the (linear) volume-outcome relationship of diagnosis group d
b d The constant term of the (linear) volume-outcome relationship of diagnosis group d
EQ Euros per QALY
ET Travel expenses per time unit
M Big number [1,000,000]
maxt d The maximum acceptable travel time for diagnosis group d
minu f Minimum utilization per facility f
NP d The number of patients per diagnosis group d
N P p , d D The number of patients per diagnosis group d and zip code p
NV d The total number of visits per patient having diagnosis d
TT p,q The driving time from zip code p to zip code q
U fd The amount of resources each patient within diagnosis group d makes use of facility f
Dependent variables
Quality d Total quality achieved for diagnosis group d [euros]
Travel d Total travel costs made for diagnosis group d [euros]
NL d The number of locations treating diagnosis group d
Decision variables
X p Whether a health care location is established in zip code p
Z q,d Whether diagnosis group d is treated at potential hospital location with zip code q
Y p,q,d Whether for diagnosis group d patients from zip code p are assigned to potential hospital location with zip code q