Table 5 An example of the multi-objective MESS.

From: Multi-resource constrained elective surgical scheduling with Nash equilibrium toward smart hospitals

Patient

Operation

Index of available material resources (ORs and NOR beds)

Index of available human resources (surgeons, anesthesiologists and nurses)

\(i=1\)

\({O_{11}}\)

\(k^{\prime}=1,2\)

\(r^{\prime\prime}=1,2\)

\({O_{12}}\)

\(k=1,2\)

\(r=1,2,{\text{ }}r^{\prime}=1,2,{\text{ }}r^{\prime\prime}=1,2\)

\({O_{13}}\)

\(k^{\prime}=1,2\)

\(r^{\prime\prime}=1,2\)

\(i=2\)

\({O_{21}}\)

\(k^{\prime}=1,2\)

\(r^{\prime\prime}=1,2\)

\({O_{22}}\)

\(k=1,2\)

\(r=1,2,{\text{ }}r^{\prime}=1,2,{\text{ }}r^{\prime\prime}=1,2\)

\({O_{23}}\)

\(k^{\prime}=1,2\)

\(r^{\prime\prime}=1,2\)

\(i=3\)

\({O_{31}}\)

\(k^{\prime}=1,2\)

\(r^{\prime\prime}=1,2\)

\({O_{32}}\)

\(k=1,2\)

\(r=1,2,{\text{ }}r^{\prime}=1,2,{\text{ }}r^{\prime\prime}=1,2\)

\({O_{33}}\)

\(k^{\prime}=1,2\)

\(r^{\prime\prime}=1,2\)

\(i=4\)

\({O_{41}}\)

\(k^{\prime}=1,2\)

\(r^{\prime\prime}=1,2\)

\({O_{42}}\)

\(k=1,2\)

\(r=1,2,{\text{ }}r^{\prime}=1,2,{\text{ }}r^{\prime\prime}=1,2\)

\({O_{43}}\)

\(k^{\prime}=1,2\)

\(r^{\prime\prime}=1,2\)