Question

请帮助我在Cplex中编写约束。我正在解决人员调度问题。

我有以下几组：

{string} I = ...; //所有医生的集合

{string} E = ...; //一组经验等级

{string} K = ...; //班次类型

{string} A = ...; //工作类型

int D = ...;

range Day = 1..D; //将时间范围安排为从第1天到第30天

数据：

I = {“ A”，“ B”，“ C”，“ D”，“ E”，“ F”，“ G”，“ H”，“ I”，“ J”，“ K”， “ L”，“ M”，“ N”，“ O”，“ P”，“ Q”，“ R”，“ S”，“ T”}}；

E = {“高级”，“菜鸟”};

K = {“ o”，“ t”};

A = {“白天”，“晚上”，“夜”，“夜1”，“夜2”};

决策变量：

dvar int x [I] [E] [Day] [K] [A] in 0..1; // 1，如果将经验为e的医师i分配到工作日为a的轮班类型为k的d天

约束： evening+night constraint

我的主要问题是，由于我只需要关注A组中的“夜晚”和“白天”，因此我不知道如何在Cplex中表达它。

forall(i in I, e in E, d in D, k in K, Evening in A, Day in A)
       {
       x [i, e, (d-1), k, Evening]+ x[i, e, d, k, Day]<=1;  
       }

以上是我的尝试，但失败了。

谢谢您的帮助！

Answer 1

.mod

{string} I=...; // set of all physicians

{string} E=...; // set of experience levels

{string} K=...; //type of shifts

{string} A=...;//work type

int D=...;

range Day=1..D; //scheduling horizon is from day 1 to day 30

dvar int x[I][E][Day][K][A] in 0..1; //1, if physician i with experience level e is assigned to day d with shift type k with work type a



subject to
{
forall(i in I, e in E, d in Day, k in K, Evening in A:(d-1) in Day)
       {
       x [i, e, (d-1), k,"Evening"]+ x[i, e, d, k, "Day"]<=1;  
       }

     }

.dat

I={"A","B","C","D","E","F","G","H","I","J","K","L","M","N","O","P","Q","R","S","T"};

E={"Senior","Rookie"};

K={"o","t"};

A={"Day","Evening","Night","Night1","Night2"};

D=7;

工作正常

Cplex：如何为指定字符串编写约束

1 个答案: