il faut utiliser le reinforsment learning et l alorithme genetique pour fair e le ordennancement entre les operation les cherirgien et les patient dans un block Soit ce formalisme mathamtique DCOP:

1. Variables

1.1. Set of Medical Staff:

M = {m₁ , m₂ , …. m_|M|}

Where M represents all medical staff members, including surgeons, anesthesiologists, and nurses.

1.2. Set of Resources:

R = { r₁ , r₂, … r _|R|}

R represents the resources required for surgeries, such as surgical instruments, robots, and equipment

1.3. Set of Resources:

P= {p₁ , p₂, …., p _|P|}

P includes all patients scheduled for surgeries, with attributes such as priority levels, estimated durations, and required resources.

1.4. Set of Operating Rooms:

OR= {or₁ , or₂, …., or _|or|}

OR denotes the available operating rooms, each with specific capacities and features.

1.5. Planning Horizon:

T= {t₁ , t₂, …., t _|OR|}

T represents the discrete time slots within the planning period.

2. Decision Variables

2.1. Assignment of Patients to Operating Rooms:

1 if patient p is assigned to operating room or Ꞓ OR at time t Ꞓ T ,

0 otherwise.

x _p,or,t =

2.2. Utilization of Medical Staff:

1 if medical staff m Ꞓ M is assigned to patient p Ꞓ P at time t Ꞓ T ,

0 otherwise.

y _m,p,t =

2.3. Usage of Resources:

1 if resource r Ꞓ R is utilized for patient p Ꞓ P at time t Ꞓ T ,

0 otherwise.

Z _r,p,t =

2.4. Room Occupancy:

1 if resource r Ꞓ R is utilized for patient p Ꞓ P at time t Ꞓ T ,

0 otherwise.

U _Or,t =

3. Fonction objectif

Minimize the total cost, which includes:

• Patient waiting time.
• OR operating costs.
• Overtime costs due to unexpected events.

Minimize F = +

Soit ce systeme miltiagnet: 1.Workflow Instance Agent (WIA): Oversees individual patient workflows. 2.OR Resource Agent (ORA): Manages availability of ORs and equipment. 3.Medical Staff Agent (MSA): Ensures staff assignments align with skills 4.Event Coordination Agent (ECA): Handles unexpected events. 5.Monitoring Agent (MoA): Tracks delays and disruptions between all agents. 6.Scheduling and Orchestration Agent (SOA): Updates schedules dynamically (Run the algorithm).