Question

8. Formulate a linker programming model so the DEA can be used to evaluate the performance of hospital B Input Measures Hospital Ful-Time EquitSupply Expense Bed-Day Available Non-physicians (1000s) 116 106 10 278 350 一 Output Measures Hospital Patients Days Patients Day 265 1000s)651000s) Nurses Trained Intern Trained 49 291 47 32 141 D3341160 26 21

Answer 1

Min E

s.t.

wa + wb + wc + wd = 1

55wa + 37wb + 32wc + 33wd ≥ 37

49wa + 55wb + 25wc + 41wd ≥ 55

291wa + 156wb + 141wc + 160wd ≥ 156

47wa + 3wb + 26wc + 21wd ≥ 3

-278E+310wa + 278wb + 165wc + 250wd ≤ 0

-114E+134wa + 114wb + 131wc + 316wd ≤ 0

-106E+116wa + 106wb + 65wc + 94wd ≤ 0

wa, wb, wc, wd ≥ 0