using "ibm cplex optimization studio only"

Simple example in healthcare: Let consider 7 patients with different surgeries times: ST=[4h30, 4h, 3h, 3h, 2h30, 1h30, 1h] We have to decide how to assign patients to the operating rooms.

First problem: let consider 3 operating rooms available with their corresponding capacities OR=[7h30, 4h, 4h]. We want to operate the maximum number of patients. Propose a model and solve it using CPLEX

Second problem: The profit differs from a surgery to another. Let consider the profit associated to surgeries P=[3 K$, 4.5 K$, 5 K$, 2 KS, 4 K$, 3 K$, 2 K$]. We want to maximize the total profit. Propose a model and solve it using CPLEX *

Third problem: Let consider 6 operating rooms available with their corresponding capacities OR=[7h30, 6h, 5h30, 5h30, 6h30, 7h]. We would like to assign all patients and use the minimum number of operating rooms (additional variable indicating if the room is used or not must be added). Propose a model and solve it using CPLEX

*should be written in Cplex*

*should write the model*

*Like

1- declare parameter

1- declare variables

3- declare objective function

4- declare constrains*

you must select this 2 options

New Project Create Project Create a new project. Project name: Project location: /Users/zo/opl Project folder: Options Description: Add a default Run Configuration Create Model Create Settings Create Data SUR PIN) TLP x bound error (Total, Max) ILP x integrality error (Total, Max) ILP slack bound error (Total, Max) w.wowe 0.00000e 0.00000e 0.00000e Oplide File Edit Navigate Search 20 R HILD MKB, z z z z 10 OPL Rroject Project... B 23 Run Configuration 2 Model Data Settings Folder File Untitled Text File Example... Other... BN 1 Proble23 Variabl Breakp 29 Solution with objective 54 Name Value Data consumption 5 consumption 3 consumption 2 consumption prices price2 : Pri 1 sol 1 Quo MIL 1 MIL 10 Bolide Fe Edit Navigate Search Run Window Hele BLOG CPLEX Optimization Studia .... OLD pod B SER ? 20.1.2. Model Carigi Author 4 Creation Dates 2002 10:25 I. OLEX care permit Tic; Mic 1. 3 tao 15 HP 12 competir 13 14 decale introduct 17 dvor 2: P2 19 corective action clar com 22 23 241 : PORN offor 14 w www.4 Owl ACT Co ml) D G MacBook Pro $ 11 2 3 $ 4 + * 5 o 0 6 1 7 > B 8 99 Q W: wo E R T Y 0 G E A > A wa D F F G G HT C C N N cs V b V N! M b Bi j bo 1 3 9 atrol option command