Optimization model of schedule of operation rooms to optimize costs in a public Hospital Network.

There is an 2 fase optimization and a simulation of the arrival of patiences.

Minimize: Sum(

• Medical staff specialists moving between hospitals
• Patiens moving between hospitals
• Cost of attend patient in a clinic insted of a hospital

)

• t : simulation time in days {1,2,3,4,5}
• j : patient j
• h : hospital h
• q : operating room q
• g : Diagnosis Related Groups(GRD) type g {1,2,3,4,5,6,7,8,9,10}
• m : corresponds to the medical specialty type m
• c : clinic c of the private system (it is only one, only the sub-index was added to facilitate understanding)

• H(l,j,h) : 1 if patient j is admitted to the system at hospital h
• T(l,j,h) : arrival time of patient j to hospital h
• Ƭ(j) : time limit in which patient j must be treated
• P(g,m) : medical personnel of type m needed to operate DRG type g
• H(h) : hours of operation of the hospital h
• D(g)​: duration of the GRD type operation g → stochastic parameter (uncertainty)
• T(pg1,g2) : preparation time of an operating room between a type g1 DRG operation to another type g2
• C(h,g,c) : cost of transporting a patient with DRG type g from hospital h to clinic c
• CM(h1,h2) : cost of transferring a specialist from hospital h1 to another h2
• CP(h1,h2) : cost of transferring a patient from hospital h1 to another h2
• CO(g,c) : cost of operating a DRG g in clinic c
• P(Dm) : available medical staff of specialty m throughout the network

• Y(t,h,q,g): if I assign GRD g to operating room q of hospital h on day t
• X(j,t,h,q) ​:​ ​1 if I assign patient j with GRD g to operating room q of hospital h on day t
• W(j,t,c) ​: 1 if I assign patient j with GRD g on day t to clinic c
• Z(m,t,h,q : How many medical personnel of type m do I assign to the operating room q of hospital h on day t
• T(j,h1,h2) ​: 1 if the patient is transferred from hospital h1 to hospital h2
• B(ht,1,h2,m) ​: Medical staff specialists m moving from hospital h1 to hospital h2 on day t

• Take care of the patient in his time limit
• Maximum of two GRD per operating room per day
• Medical personnel needed in the hospital
• Do not exceed available medical personnel
• Staff calibration
• Do not exceed the time available in the operating room
• Attend and use the operating room only if that DRG is being attended
• Patient transfer calibration

Run one time the optimization

python3 main.py

Run the simulation

python3 simulacion_fifo.py

Take a loooong time, but generate results:

• Summary of optimization: Resumen_optimizacion.txt
• Schedule of patiences: resultado_optimizacion.json
• Patien list: lista_pacientes.json

June 2018