当时间用作纸浆变量中的索引时，如何向LP添加优先级约束？

Question

亲爱的程序员们，

我想知道如何根据可用性来安排活动(参见输入)。在可用时间超过零的日子里，也有可用的人。我们希望我们的时间表尽可能接近于零(有效的计划)。这意味着，当我们为一个需要五个活动的客户安排一个新项目时，我们需要我们的算法，以便在该特定项目日的活动持续时间内减少可用时间。有些活动需要0,5小时才能完成，有些则需要1小时才能完成。我试图用变量A、B、C、D和E作为活动的初始版本，并且只有一个雇员(称为'0‘，因为我将来会添加更多的员工，但我不想从一开始就太复杂的情况开始)和活动排定的日期。对于第一次和第五次活动，病人可以优先考虑。对于第二次、第三次和第四次活动，可以随时安排活动。可用性变量在这里是员工AW可用时间的列表(请参见输入)。

days = range(1,32)
preferences = [4,11,18,25]

A = LpVariable.dicts(name = "Intake", indexs = [(0, v) for v in preferences], lowBound = 0, upBound = 1, cat = "Continuous")
B = LpVariable.dicts(name = "Write a transcript of intake", indexs = [(0, d) for d in days], lowBound = 0, upBound = 1, cat =  "Continuous")
C = LpVariable.dicts(name = "Create treatment plan", indexs = [(0, d) for d in days], lowBound = 0, upBound = 0.5, cat = "Continuous")
D = LpVariable.dicts(name = "Schedule a meeting", indexs = [(0, d) for d in days], lowBound = 0, upBound = 0.5, cat = "Continuous")
E = LpVariable.dicts(name = "Discuss treatment plan with patiënt", indexs = [(0, v) for v in preferences], lowBound = 0, upBound = 1, cat = "Continuous")

############################## OBJECTIVE ##############################################


# define the model to maximize the workday
schedule = LpProblem(name="Maximize_Schedule", sense=LpMaximize)

schedule += lpSum(A[(0,v)] for v in preferences) + lpSum(B[(0,d)] for d in days) + lpSum(C[(0,d)] for d in days) + lpSum(D[(0,d)] for d in days) + lpSum(E[(0,v)] for v in preferences)

############################## CONSTRAINTS ############################################

# Less than available hours

for v in preferences:
    schedule += A[0,v] + B[0,v] + C[0,v] + D[0,v] + E[0,v] <= availability[v-1]

for d in days:
    schedule += B[0,d] + C[0,d] + D[0,d] <= availability[d-1]


# There is no more than 4 hours to divide

schedule += lpSum(A[(0,v)] for v in preferences) + lpSum(B[(0,d)] for d in days) + lpSum(C[(0,d)] for d in days) + lpSum(D[(0,d)] for d in days) + lpSum(E[(0,v)] for v in preferences) <= 4

# Every activity must be in the solution

schedule += lpSum(A[(0,v)] for v in preferences) == 1

schedule += lpSum(B[(0,d)] for d in days) == 1

schedule += lpSum(C[(0,d)] for d in days) == 0.5

schedule += lpSum(D[(0,d)] for d in days) == 0.5

schedule += lpSum(E[(0,v)] for v in preferences) == 1


# An activity cannot be less than zero

for v in preferences:
    schedule += A[(0,v)] >= 0
    schedule += E[(0,v)] >= 0

for d in days:
    schedule += B[(0,d)] >= 0
    schedule += C[(0,d)] >= 0
    schedule += D[(0,d)] >= 0


status = schedule.solve()

该模型为我提供了以下输出：

Create_treatment_plan_(0,_4) 0.5
Discuss_treatment_plan_with_patiënt_(0,_11) 1.0
Intake_(0,_11) 1.0
Schedule_a_meeting_(0,_4) 0.5
Write_a_transcript_of_intake_(0,_4) 1.0

我们已经满足了很多限制条件，但我们可以看到，在结果中没有优先权(“摄入量”是在“写一份录取记录”之前计划好的)。我不知道如何在我的LP中实现优先约束，因为我不是在处理开始时间和结束时间，而是使用可用性。你能帮我找个解决办法吗？在本页的底部，您可以在纸浆中找到my LP配方的完整版本。

致以亲切的问候，

汤姆

Maximize_Schedule:
MAXIMIZE
1*Create_treatment_plan_(0,_1) + 1*Create_treatment_plan_(0,_10) + 1*Create_treatment_plan_(0,_11) + 1*Create_treatment_plan_(0,_12) + 1*Create_treatment_plan_(0,_13) + 1*Create_treatment_plan_(0,_14) + 1*Create_treatment_plan_(0,_15) + 1*Create_treatment_plan_(0,_16) + 1*Create_treatment_plan_(0,_17) + 1*Create_treatment_plan_(0,_18) + 1*Create_treatment_plan_(0,_19) + 1*Create_treatment_plan_(0,_2) + 1*Create_treatment_plan_(0,_20) + 1*Create_treatment_plan_(0,_21) + 1*Create_treatment_plan_(0,_22) + 1*Create_treatment_plan_(0,_23) + 1*Create_treatment_plan_(0,_24) + 1*Create_treatment_plan_(0,_25) + 1*Create_treatment_plan_(0,_26) + 1*Create_treatment_plan_(0,_27) + 1*Create_treatment_plan_(0,_28) + 1*Create_treatment_plan_(0,_29) + 1*Create_treatment_plan_(0,_3) + 1*Create_treatment_plan_(0,_30) + 1*Create_treatment_plan_(0,_31) + 1*Create_treatment_plan_(0,_4) + 1*Create_treatment_plan_(0,_5) + 1*Create_treatment_plan_(0,_6) + 1*Create_treatment_plan_(0,_7) + 1*Create_treatment_plan_(0,_8) + 1*Create_treatment_plan_(0,_9) + 1*Discuss_treatment_plan_with_patiënt_(0,_11) + 1*Discuss_treatment_plan_with_patiënt_(0,_18) + 1*Discuss_treatment_plan_with_patiënt_(0,_25) + 1*Discuss_treatment_plan_with_patiënt_(0,_4) + 1*Intake_(0,_11) + 1*Intake_(0,_18) + 1*Intake_(0,_25) + 1*Intake_(0,_4) + 1*Schedule_a_meeting_(0,_1) + 1*Schedule_a_meeting_(0,_10) + 1*Schedule_a_meeting_(0,_11) + 1*Schedule_a_meeting_(0,_12) + 1*Schedule_a_meeting_(0,_13) + 1*Schedule_a_meeting_(0,_14) + 1*Schedule_a_meeting_(0,_15) + 1*Schedule_a_meeting_(0,_16) + 1*Schedule_a_meeting_(0,_17) + 1*Schedule_a_meeting_(0,_18) + 1*Schedule_a_meeting_(0,_19) + 1*Schedule_a_meeting_(0,_2) + 1*Schedule_a_meeting_(0,_20) + 1*Schedule_a_meeting_(0,_21) + 1*Schedule_a_meeting_(0,_22) + 1*Schedule_a_meeting_(0,_23) + 1*Schedule_a_meeting_(0,_24) + 1*Schedule_a_meeting_(0,_25) + 1*Schedule_a_meeting_(0,_26) + 1*Schedule_a_meeting_(0,_27) + 1*Schedule_a_meeting_(0,_28) + 1*Schedule_a_meeting_(0,_29) + 1*Schedule_a_meeting_(0,_3) + 1*Schedule_a_meeting_(0,_30) + 1*Schedule_a_meeting_(0,_31) + 1*Schedule_a_meeting_(0,_4) + 1*Schedule_a_meeting_(0,_5) + 1*Schedule_a_meeting_(0,_6) + 1*Schedule_a_meeting_(0,_7) + 1*Schedule_a_meeting_(0,_8) + 1*Schedule_a_meeting_(0,_9) + 1*Write_a_transcript_of_intake_(0,_1) + 1*Write_a_transcript_of_intake_(0,_10) + 1*Write_a_transcript_of_intake_(0,_11) + 1*Write_a_transcript_of_intake_(0,_12) + 1*Write_a_transcript_of_intake_(0,_13) + 1*Write_a_transcript_of_intake_(0,_14) + 1*Write_a_transcript_of_intake_(0,_15) + 1*Write_a_transcript_of_intake_(0,_16) + 1*Write_a_transcript_of_intake_(0,_17) + 1*Write_a_transcript_of_intake_(0,_18) + 1*Write_a_transcript_of_intake_(0,_19) + 1*Write_a_transcript_of_intake_(0,_2) + 1*Write_a_transcript_of_intake_(0,_20) + 1*Write_a_transcript_of_intake_(0,_21) + 1*Write_a_transcript_of_intake_(0,_22) + 1*Write_a_transcript_of_intake_(0,_23) + 1*Write_a_transcript_of_intake_(0,_24) + 1*Write_a_transcript_of_intake_(0,_25) + 1*Write_a_transcript_of_intake_(0,_26) + 1*Write_a_transcript_of_intake_(0,_27) + 1*Write_a_transcript_of_intake_(0,_28) + 1*Write_a_transcript_of_intake_(0,_29) + 1*Write_a_transcript_of_intake_(0,_3) + 1*Write_a_transcript_of_intake_(0,_30) + 1*Write_a_transcript_of_intake_(0,_31) + 1*Write_a_transcript_of_intake_(0,_4) + 1*Write_a_transcript_of_intake_(0,_5) + 1*Write_a_transcript_of_intake_(0,_6) + 1*Write_a_transcript_of_intake_(0,_7) + 1*Write_a_transcript_of_intake_(0,_8) + 1*Write_a_transcript_of_intake_(0,_9) + 0
SUBJECT TO
_C1: Create_treatment_plan_(0,_4) + Discuss_treatment_plan_with_patiënt_(0,_4)
 + Intake_(0,_4) + Schedule_a_meeting_(0,_4)
 + Write_a_transcript_of_intake_(0,_4) <= 3

_C2: Create_treatment_plan_(0,_11)
 + Discuss_treatment_plan_with_patiënt_(0,_11) + Intake_(0,_11)
 + Schedule_a_meeting_(0,_11) + Write_a_transcript_of_intake_(0,_11) <= 4

_C3: Create_treatment_plan_(0,_18)
 + Discuss_treatment_plan_with_patiënt_(0,_18) + Intake_(0,_18)
 + Schedule_a_meeting_(0,_18) + Write_a_transcript_of_intake_(0,_18) <= 5

_C4: Create_treatment_plan_(0,_25)
 + Discuss_treatment_plan_with_patiënt_(0,_25) + Intake_(0,_25)
 + Schedule_a_meeting_(0,_25) + Write_a_transcript_of_intake_(0,_25) <= 6

_C5: Create_treatment_plan_(0,_1) + Schedule_a_meeting_(0,_1)
 + Write_a_transcript_of_intake_(0,_1) <= 0

_C6: Create_treatment_plan_(0,_2) + Schedule_a_meeting_(0,_2)
 + Write_a_transcript_of_intake_(0,_2) <= 5

_C7: Create_treatment_plan_(0,_3) + Schedule_a_meeting_(0,_3)
 + Write_a_transcript_of_intake_(0,_3) <= 7

_C8: Create_treatment_plan_(0,_4) + Schedule_a_meeting_(0,_4)
 + Write_a_transcript_of_intake_(0,_4) <= 3

_C9: Create_treatment_plan_(0,_5) + Schedule_a_meeting_(0,_5)
 + Write_a_transcript_of_intake_(0,_5) <= 0

_C10: Create_treatment_plan_(0,_6) + Schedule_a_meeting_(0,_6)
 + Write_a_transcript_of_intake_(0,_6) <= 0

_C11: Create_treatment_plan_(0,_7) + Schedule_a_meeting_(0,_7)
 + Write_a_transcript_of_intake_(0,_7) <= 6

_C12: Create_treatment_plan_(0,_8) + Schedule_a_meeting_(0,_8)
 + Write_a_transcript_of_intake_(0,_8) <= 0

_C13: Create_treatment_plan_(0,_9) + Schedule_a_meeting_(0,_9)
 + Write_a_transcript_of_intake_(0,_9) <= 6

_C14: Create_treatment_plan_(0,_10) + Schedule_a_meeting_(0,_10)
 + Write_a_transcript_of_intake_(0,_10) <= 1

_C15: Create_treatment_plan_(0,_11) + Schedule_a_meeting_(0,_11)
 + Write_a_transcript_of_intake_(0,_11) <= 4

_C16: Create_treatment_plan_(0,_12) + Schedule_a_meeting_(0,_12)
 + Write_a_transcript_of_intake_(0,_12) <= 0

_C17: Create_treatment_plan_(0,_13) + Schedule_a_meeting_(0,_13)
 + Write_a_transcript_of_intake_(0,_13) <= 0

_C18: Create_treatment_plan_(0,_14) + Schedule_a_meeting_(0,_14)
 + Write_a_transcript_of_intake_(0,_14) <= 4

_C19: Create_treatment_plan_(0,_15) + Schedule_a_meeting_(0,_15)
 + Write_a_transcript_of_intake_(0,_15) <= 0

_C20: Create_treatment_plan_(0,_16) + Schedule_a_meeting_(0,_16)
 + Write_a_transcript_of_intake_(0,_16) <= 4

_C21: Create_treatment_plan_(0,_17) + Schedule_a_meeting_(0,_17)
 + Write_a_transcript_of_intake_(0,_17) <= 7

_C22: Create_treatment_plan_(0,_18) + Schedule_a_meeting_(0,_18)
 + Write_a_transcript_of_intake_(0,_18) <= 5

_C23: Create_treatment_plan_(0,_19) + Schedule_a_meeting_(0,_19)
 + Write_a_transcript_of_intake_(0,_19) <= 0

_C24: Create_treatment_plan_(0,_20) + Schedule_a_meeting_(0,_20)
 + Write_a_transcript_of_intake_(0,_20) <= 0

_C25: Create_treatment_plan_(0,_21) + Schedule_a_meeting_(0,_21)
 + Write_a_transcript_of_intake_(0,_21) <= 4

_C26: Create_treatment_plan_(0,_22) + Schedule_a_meeting_(0,_22)
 + Write_a_transcript_of_intake_(0,_22) <= 0

_C27: Create_treatment_plan_(0,_23) + Schedule_a_meeting_(0,_23)
 + Write_a_transcript_of_intake_(0,_23) <= 4

_C28: Create_treatment_plan_(0,_24) + Schedule_a_meeting_(0,_24)
 + Write_a_transcript_of_intake_(0,_24) <= 7

_C29: Create_treatment_plan_(0,_25) + Schedule_a_meeting_(0,_25)
 + Write_a_transcript_of_intake_(0,_25) <= 6

_C30: Create_treatment_plan_(0,_26) + Schedule_a_meeting_(0,_26)
 + Write_a_transcript_of_intake_(0,_26) <= 0

_C31: Create_treatment_plan_(0,_27) + Schedule_a_meeting_(0,_27)
 + Write_a_transcript_of_intake_(0,_27) <= 0

_C32: Create_treatment_plan_(0,_28) + Schedule_a_meeting_(0,_28)
 + Write_a_transcript_of_intake_(0,_28) <= 4

_C33: Create_treatment_plan_(0,_29) + Schedule_a_meeting_(0,_29)
 + Write_a_transcript_of_intake_(0,_29) <= 0

_C34: Create_treatment_plan_(0,_30) + Schedule_a_meeting_(0,_30)
 + Write_a_transcript_of_intake_(0,_30) <= 5

_C35: Create_treatment_plan_(0,_31) + Schedule_a_meeting_(0,_31)
 + Write_a_transcript_of_intake_(0,_31) <= 7

_C36: Create_treatment_plan_(0,_1) + Create_treatment_plan_(0,_10)
 + Create_treatment_plan_(0,_11) + Create_treatment_plan_(0,_12)
 + Create_treatment_plan_(0,_13) + Create_treatment_plan_(0,_14)
 + Create_treatment_plan_(0,_15) + Create_treatment_plan_(0,_16)
 + Create_treatment_plan_(0,_17) + Create_treatment_plan_(0,_18)
 + Create_treatment_plan_(0,_19) + Create_treatment_plan_(0,_2)
 + Create_treatment_plan_(0,_20) + Create_treatment_plan_(0,_21)
 + Create_treatment_plan_(0,_22) + Create_treatment_plan_(0,_23)
 + Create_treatment_plan_(0,_24) + Create_treatment_plan_(0,_25)
 + Create_treatment_plan_(0,_26) + Create_treatment_plan_(0,_27)
 + Create_treatment_plan_(0,_28) + Create_treatment_plan_(0,_29)
 + Create_treatment_plan_(0,_3) + Create_treatment_plan_(0,_30)
 + Create_treatment_plan_(0,_31) + Create_treatment_plan_(0,_4)
 + Create_treatment_plan_(0,_5) + Create_treatment_plan_(0,_6)
 + Create_treatment_plan_(0,_7) + Create_treatment_plan_(0,_8)
 + Create_treatment_plan_(0,_9) + Discuss_treatment_plan_with_patiënt_(0,_11)
 + Discuss_treatment_plan_with_patiënt_(0,_18)
 + Discuss_treatment_plan_with_patiënt_(0,_25)
 + Discuss_treatment_plan_with_patiënt_(0,_4) + Intake_(0,_11)
 + Intake_(0,_18) + Intake_(0,_25) + Intake_(0,_4) + Schedule_a_meeting_(0,_1)
 + Schedule_a_meeting_(0,_10) + Schedule_a_meeting_(0,_11)
 + Schedule_a_meeting_(0,_12) + Schedule_a_meeting_(0,_13)
 + Schedule_a_meeting_(0,_14) + Schedule_a_meeting_(0,_15)
 + Schedule_a_meeting_(0,_16) + Schedule_a_meeting_(0,_17)
 + Schedule_a_meeting_(0,_18) + Schedule_a_meeting_(0,_19)
 + Schedule_a_meeting_(0,_2) + Schedule_a_meeting_(0,_20)
 + Schedule_a_meeting_(0,_21) + Schedule_a_meeting_(0,_22)
 + Schedule_a_meeting_(0,_23) + Schedule_a_meeting_(0,_24)
 + Schedule_a_meeting_(0,_25) + Schedule_a_meeting_(0,_26)
 + Schedule_a_meeting_(0,_27) + Schedule_a_meeting_(0,_28)
 + Schedule_a_meeting_(0,_29) + Schedule_a_meeting_(0,_3)
 + Schedule_a_meeting_(0,_30) + Schedule_a_meeting_(0,_31)
 + Schedule_a_meeting_(0,_4) + Schedule_a_meeting_(0,_5)
 + Schedule_a_meeting_(0,_6) + Schedule_a_meeting_(0,_7)
 + Schedule_a_meeting_(0,_8) + Schedule_a_meeting_(0,_9)
 + Write_a_transcript_of_intake_(0,_1) + Write_a_transcript_of_intake_(0,_10)
 + Write_a_transcript_of_intake_(0,_11) + Write_a_transcript_of_intake_(0,_12)
 + Write_a_transcript_of_intake_(0,_13) + Write_a_transcript_of_intake_(0,_14)
 + Write_a_transcript_of_intake_(0,_15) + Write_a_transcript_of_intake_(0,_16)
 + Write_a_transcript_of_intake_(0,_17) + Write_a_transcript_of_intake_(0,_18)
 + Write_a_transcript_of_intake_(0,_19) + Write_a_transcript_of_intake_(0,_2)
 + Write_a_transcript_of_intake_(0,_20) + Write_a_transcript_of_intake_(0,_21)
 + Write_a_transcript_of_intake_(0,_22) + Write_a_transcript_of_intake_(0,_23)
 + Write_a_transcript_of_intake_(0,_24) + Write_a_transcript_of_intake_(0,_25)
 + Write_a_transcript_of_intake_(0,_26) + Write_a_transcript_of_intake_(0,_27)
 + Write_a_transcript_of_intake_(0,_28) + Write_a_transcript_of_intake_(0,_29)
 + Write_a_transcript_of_intake_(0,_3) + Write_a_transcript_of_intake_(0,_30)
 + Write_a_transcript_of_intake_(0,_31) + Write_a_transcript_of_intake_(0,_4)
 + Write_a_transcript_of_intake_(0,_5) + Write_a_transcript_of_intake_(0,_6)
 + Write_a_transcript_of_intake_(0,_7) + Write_a_transcript_of_intake_(0,_8)
 + Write_a_transcript_of_intake_(0,_9) <= 4

_C37: Intake_(0,_11) + Intake_(0,_18) + Intake_(0,_25) + Intake_(0,_4) = 1

_C38: Write_a_transcript_of_intake_(0,_1)
 + Write_a_transcript_of_intake_(0,_10) + Write_a_transcript_of_intake_(0,_11)
 + Write_a_transcript_of_intake_(0,_12) + Write_a_transcript_of_intake_(0,_13)
 + Write_a_transcript_of_intake_(0,_14) + Write_a_transcript_of_intake_(0,_15)
 + Write_a_transcript_of_intake_(0,_16) + Write_a_transcript_of_intake_(0,_17)
 + Write_a_transcript_of_intake_(0,_18) + Write_a_transcript_of_intake_(0,_19)
 + Write_a_transcript_of_intake_(0,_2) + Write_a_transcript_of_intake_(0,_20)
 + Write_a_transcript_of_intake_(0,_21) + Write_a_transcript_of_intake_(0,_22)
 + Write_a_transcript_of_intake_(0,_23) + Write_a_transcript_of_intake_(0,_24)
 + Write_a_transcript_of_intake_(0,_25) + Write_a_transcript_of_intake_(0,_26)
 + Write_a_transcript_of_intake_(0,_27) + Write_a_transcript_of_intake_(0,_28)
 + Write_a_transcript_of_intake_(0,_29) + Write_a_transcript_of_intake_(0,_3)
 + Write_a_transcript_of_intake_(0,_30) + Write_a_transcript_of_intake_(0,_31)
 + Write_a_transcript_of_intake_(0,_4) + Write_a_transcript_of_intake_(0,_5)
 + Write_a_transcript_of_intake_(0,_6) + Write_a_transcript_of_intake_(0,_7)
 + Write_a_transcript_of_intake_(0,_8) + Write_a_transcript_of_intake_(0,_9)
 = 1

_C39: Create_treatment_plan_(0,_1) + Create_treatment_plan_(0,_10)
 + Create_treatment_plan_(0,_11) + Create_treatment_plan_(0,_12)
 + Create_treatment_plan_(0,_13) + Create_treatment_plan_(0,_14)
 + Create_treatment_plan_(0,_15) + Create_treatment_plan_(0,_16)
 + Create_treatment_plan_(0,_17) + Create_treatment_plan_(0,_18)
 + Create_treatment_plan_(0,_19) + Create_treatment_plan_(0,_2)
 + Create_treatment_plan_(0,_20) + Create_treatment_plan_(0,_21)
 + Create_treatment_plan_(0,_22) + Create_treatment_plan_(0,_23)
 + Create_treatment_plan_(0,_24) + Create_treatment_plan_(0,_25)
 + Create_treatment_plan_(0,_26) + Create_treatment_plan_(0,_27)
 + Create_treatment_plan_(0,_28) + Create_treatment_plan_(0,_29)
 + Create_treatment_plan_(0,_3) + Create_treatment_plan_(0,_30)
 + Create_treatment_plan_(0,_31) + Create_treatment_plan_(0,_4)
 + Create_treatment_plan_(0,_5) + Create_treatment_plan_(0,_6)
 + Create_treatment_plan_(0,_7) + Create_treatment_plan_(0,_8)
 + Create_treatment_plan_(0,_9) = 0.5

_C40: Schedule_a_meeting_(0,_1) + Schedule_a_meeting_(0,_10)
 + Schedule_a_meeting_(0,_11) + Schedule_a_meeting_(0,_12)
 + Schedule_a_meeting_(0,_13) + Schedule_a_meeting_(0,_14)
 + Schedule_a_meeting_(0,_15) + Schedule_a_meeting_(0,_16)
 + Schedule_a_meeting_(0,_17) + Schedule_a_meeting_(0,_18)
 + Schedule_a_meeting_(0,_19) + Schedule_a_meeting_(0,_2)
 + Schedule_a_meeting_(0,_20) + Schedule_a_meeting_(0,_21)
 + Schedule_a_meeting_(0,_22) + Schedule_a_meeting_(0,_23)
 + Schedule_a_meeting_(0,_24) + Schedule_a_meeting_(0,_25)
 + Schedule_a_meeting_(0,_26) + Schedule_a_meeting_(0,_27)
 + Schedule_a_meeting_(0,_28) + Schedule_a_meeting_(0,_29)
 + Schedule_a_meeting_(0,_3) + Schedule_a_meeting_(0,_30)
 + Schedule_a_meeting_(0,_31) + Schedule_a_meeting_(0,_4)
 + Schedule_a_meeting_(0,_5) + Schedule_a_meeting_(0,_6)
 + Schedule_a_meeting_(0,_7) + Schedule_a_meeting_(0,_8)
 + Schedule_a_meeting_(0,_9) = 0.5

_C41: Discuss_treatment_plan_with_patiënt_(0,_11)
 + Discuss_treatment_plan_with_patiënt_(0,_18)
 + Discuss_treatment_plan_with_patiënt_(0,_25)
 + Discuss_treatment_plan_with_patiënt_(0,_4) = 1

_C42: Intake_(0,_4) >= 0

_C43: Discuss_treatment_plan_with_patiënt_(0,_4) >= 0

_C44: Intake_(0,_11) >= 0

_C45: Discuss_treatment_plan_with_patiënt_(0,_11) >= 0

_C46: Intake_(0,_18) >= 0

_C47: Discuss_treatment_plan_with_patiënt_(0,_18) >= 0

_C48: Intake_(0,_25) >= 0

_C49: Discuss_treatment_plan_with_patiënt_(0,_25) >= 0

_C50: Write_a_transcript_of_intake_(0,_1) >= 0

_C51: Create_treatment_plan_(0,_1) >= 0

_C52: Schedule_a_meeting_(0,_1) >= 0

_C53: Write_a_transcript_of_intake_(0,_2) >= 0

_C54: Create_treatment_plan_(0,_2) >= 0

_C55: Schedule_a_meeting_(0,_2) >= 0

_C56: Write_a_transcript_of_intake_(0,_3) >= 0

_C57: Create_treatment_plan_(0,_3) >= 0

_C58: Schedule_a_meeting_(0,_3) >= 0

_C59: Write_a_transcript_of_intake_(0,_4) >= 0

_C60: Create_treatment_plan_(0,_4) >= 0

_C61: Schedule_a_meeting_(0,_4) >= 0

_C62: Write_a_transcript_of_intake_(0,_5) >= 0

_C63: Create_treatment_plan_(0,_5) >= 0

_C64: Schedule_a_meeting_(0,_5) >= 0

_C65: Write_a_transcript_of_intake_(0,_6) >= 0

_C66: Create_treatment_plan_(0,_6) >= 0

_C67: Schedule_a_meeting_(0,_6) >= 0

_C68: Write_a_transcript_of_intake_(0,_7) >= 0

_C69: Create_treatment_plan_(0,_7) >= 0

_C70: Schedule_a_meeting_(0,_7) >= 0

_C71: Write_a_transcript_of_intake_(0,_8) >= 0

_C72: Create_treatment_plan_(0,_8) >= 0

_C73: Schedule_a_meeting_(0,_8) >= 0

_C74: Write_a_transcript_of_intake_(0,_9) >= 0

_C75: Create_treatment_plan_(0,_9) >= 0

_C76: Schedule_a_meeting_(0,_9) >= 0

_C77: Write_a_transcript_of_intake_(0,_10) >= 0

_C78: Create_treatment_plan_(0,_10) >= 0

_C79: Schedule_a_meeting_(0,_10) >= 0

_C80: Write_a_transcript_of_intake_(0,_11) >= 0

_C81: Create_treatment_plan_(0,_11) >= 0

_C82: Schedule_a_meeting_(0,_11) >= 0

_C83: Write_a_transcript_of_intake_(0,_12) >= 0

_C84: Create_treatment_plan_(0,_12) >= 0

_C85: Schedule_a_meeting_(0,_12) >= 0

_C86: Write_a_transcript_of_intake_(0,_13) >= 0

_C87: Create_treatment_plan_(0,_13) >= 0

_C88: Schedule_a_meeting_(0,_13) >= 0

_C89: Write_a_transcript_of_intake_(0,_14) >= 0

_C90: Create_treatment_plan_(0,_14) >= 0

_C91: Schedule_a_meeting_(0,_14) >= 0

_C92: Write_a_transcript_of_intake_(0,_15) >= 0

_C93: Create_treatment_plan_(0,_15) >= 0

_C94: Schedule_a_meeting_(0,_15) >= 0

_C95: Write_a_transcript_of_intake_(0,_16) >= 0

_C96: Create_treatment_plan_(0,_16) >= 0

_C97: Schedule_a_meeting_(0,_16) >= 0

_C98: Write_a_transcript_of_intake_(0,_17) >= 0

_C99: Create_treatment_plan_(0,_17) >= 0

_C100: Schedule_a_meeting_(0,_17) >= 0

_C101: Write_a_transcript_of_intake_(0,_18) >= 0

_C102: Create_treatment_plan_(0,_18) >= 0

_C103: Schedule_a_meeting_(0,_18) >= 0

_C104: Write_a_transcript_of_intake_(0,_19) >= 0

_C105: Create_treatment_plan_(0,_19) >= 0

_C106: Schedule_a_meeting_(0,_19) >= 0

_C107: Write_a_transcript_of_intake_(0,_20) >= 0

_C108: Create_treatment_plan_(0,_20) >= 0

_C109: Schedule_a_meeting_(0,_20) >= 0

_C110: Write_a_transcript_of_intake_(0,_21) >= 0

_C111: Create_treatment_plan_(0,_21) >= 0

_C112: Schedule_a_meeting_(0,_21) >= 0

_C113: Write_a_transcript_of_intake_(0,_22) >= 0

_C114: Create_treatment_plan_(0,_22) >= 0

_C115: Schedule_a_meeting_(0,_22) >= 0

_C116: Write_a_transcript_of_intake_(0,_23) >= 0

_C117: Create_treatment_plan_(0,_23) >= 0

_C118: Schedule_a_meeting_(0,_23) >= 0

_C119: Write_a_transcript_of_intake_(0,_24) >= 0

_C120: Create_treatment_plan_(0,_24) >= 0

_C121: Schedule_a_meeting_(0,_24) >= 0

_C122: Write_a_transcript_of_intake_(0,_25) >= 0

_C123: Create_treatment_plan_(0,_25) >= 0

_C124: Schedule_a_meeting_(0,_25) >= 0

_C125: Write_a_transcript_of_intake_(0,_26) >= 0

_C126: Create_treatment_plan_(0,_26) >= 0

_C127: Schedule_a_meeting_(0,_26) >= 0

_C128: Write_a_transcript_of_intake_(0,_27) >= 0

_C129: Create_treatment_plan_(0,_27) >= 0

_C130: Schedule_a_meeting_(0,_27) >= 0

_C131: Write_a_transcript_of_intake_(0,_28) >= 0

_C132: Create_treatment_plan_(0,_28) >= 0

_C133: Schedule_a_meeting_(0,_28) >= 0

_C134: Write_a_transcript_of_intake_(0,_29) >= 0

_C135: Create_treatment_plan_(0,_29) >= 0

_C136: Schedule_a_meeting_(0,_29) >= 0

_C137: Write_a_transcript_of_intake_(0,_30) >= 0

_C138: Create_treatment_plan_(0,_30) >= 0

_C139: Schedule_a_meeting_(0,_30) >= 0

_C140: Write_a_transcript_of_intake_(0,_31) >= 0

_C141: Create_treatment_plan_(0,_31) >= 0

_C142: Schedule_a_meeting_(0,_31) >= 0

VARIABLES
Create_treatment_plan_(0,_1) <= 0.5 Continuous
Create_treatment_plan_(0,_10) <= 0.5 Continuous
Create_treatment_plan_(0,_11) <= 0.5 Continuous
Create_treatment_plan_(0,_12) <= 0.5 Continuous
Create_treatment_plan_(0,_13) <= 0.5 Continuous
Create_treatment_plan_(0,_14) <= 0.5 Continuous
Create_treatment_plan_(0,_15) <= 0.5 Continuous
Create_treatment_plan_(0,_16) <= 0.5 Continuous
Create_treatment_plan_(0,_17) <= 0.5 Continuous
Create_treatment_plan_(0,_18) <= 0.5 Continuous
Create_treatment_plan_(0,_19) <= 0.5 Continuous
Create_treatment_plan_(0,_2) <= 0.5 Continuous
Create_treatment_plan_(0,_20) <= 0.5 Continuous
Create_treatment_plan_(0,_21) <= 0.5 Continuous
Create_treatment_plan_(0,_22) <= 0.5 Continuous
Create_treatment_plan_(0,_23) <= 0.5 Continuous
Create_treatment_plan_(0,_24) <= 0.5 Continuous
Create_treatment_plan_(0,_25) <= 0.5 Continuous
Create_treatment_plan_(0,_26) <= 0.5 Continuous
Create_treatment_plan_(0,_27) <= 0.5 Continuous
Create_treatment_plan_(0,_28) <= 0.5 Continuous
Create_treatment_plan_(0,_29) <= 0.5 Continuous
Create_treatment_plan_(0,_3) <= 0.5 Continuous
Create_treatment_plan_(0,_30) <= 0.5 Continuous
Create_treatment_plan_(0,_31) <= 0.5 Continuous
Create_treatment_plan_(0,_4) <= 0.5 Continuous
Create_treatment_plan_(0,_5) <= 0.5 Continuous
Create_treatment_plan_(0,_6) <= 0.5 Continuous
Create_treatment_plan_(0,_7) <= 0.5 Continuous
Create_treatment_plan_(0,_8) <= 0.5 Continuous
Create_treatment_plan_(0,_9) <= 0.5 Continuous
Discuss_treatment_plan_with_patiënt_(0,_11) <= 1 Continuous
Discuss_treatment_plan_with_patiënt_(0,_18) <= 1 Continuous
Discuss_treatment_plan_with_patiënt_(0,_25) <= 1 Continuous
Discuss_treatment_plan_with_patiënt_(0,_4) <= 1 Continuous
Intake_(0,_11) <= 1 Continuous
Intake_(0,_18) <= 1 Continuous
Intake_(0,_25) <= 1 Continuous
Intake_(0,_4) <= 1 Continuous
Schedule_a_meeting_(0,_1) <= 0.5 Continuous
Schedule_a_meeting_(0,_10) <= 0.5 Continuous
Schedule_a_meeting_(0,_11) <= 0.5 Continuous
Schedule_a_meeting_(0,_12) <= 0.5 Continuous
Schedule_a_meeting_(0,_13) <= 0.5 Continuous
Schedule_a_meeting_(0,_14) <= 0.5 Continuous
Schedule_a_meeting_(0,_15) <= 0.5 Continuous
Schedule_a_meeting_(0,_16) <= 0.5 Continuous
Schedule_a_meeting_(0,_17) <= 0.5 Continuous
Schedule_a_meeting_(0,_18) <= 0.5 Continuous
Schedule_a_meeting_(0,_19) <= 0.5 Continuous
Schedule_a_meeting_(0,_2) <= 0.5 Continuous
Schedule_a_meeting_(0,_20) <= 0.5 Continuous
Schedule_a_meeting_(0,_21) <= 0.5 Continuous
Schedule_a_meeting_(0,_22) <= 0.5 Continuous
Schedule_a_meeting_(0,_23) <= 0.5 Continuous
Schedule_a_meeting_(0,_24) <= 0.5 Continuous
Schedule_a_meeting_(0,_25) <= 0.5 Continuous
Schedule_a_meeting_(0,_26) <= 0.5 Continuous
Schedule_a_meeting_(0,_27) <= 0.5 Continuous
Schedule_a_meeting_(0,_28) <= 0.5 Continuous
Schedule_a_meeting_(0,_29) <= 0.5 Continuous
Schedule_a_meeting_(0,_3) <= 0.5 Continuous
Schedule_a_meeting_(0,_30) <= 0.5 Continuous
Schedule_a_meeting_(0,_31) <= 0.5 Continuous
Schedule_a_meeting_(0,_4) <= 0.5 Continuous
Schedule_a_meeting_(0,_5) <= 0.5 Continuous
Schedule_a_meeting_(0,_6) <= 0.5 Continuous
Schedule_a_meeting_(0,_7) <= 0.5 Continuous
Schedule_a_meeting_(0,_8) <= 0.5 Continuous
Schedule_a_meeting_(0,_9) <= 0.5 Continuous
Write_a_transcript_of_intake_(0,_1) <= 1 Continuous
Write_a_transcript_of_intake_(0,_10) <= 1 Continuous
Write_a_transcript_of_intake_(0,_11) <= 1 Continuous
Write_a_transcript_of_intake_(0,_12) <= 1 Continuous
Write_a_transcript_of_intake_(0,_13) <= 1 Continuous
Write_a_transcript_of_intake_(0,_14) <= 1 Continuous
Write_a_transcript_of_intake_(0,_15) <= 1 Continuous
Write_a_transcript_of_intake_(0,_16) <= 1 Continuous
Write_a_transcript_of_intake_(0,_17) <= 1 Continuous
Write_a_transcript_of_intake_(0,_18) <= 1 Continuous
Write_a_transcript_of_intake_(0,_19) <= 1 Continuous
Write_a_transcript_of_intake_(0,_2) <= 1 Continuous
Write_a_transcript_of_intake_(0,_20) <= 1 Continuous
Write_a_transcript_of_intake_(0,_21) <= 1 Continuous
Write_a_transcript_of_intake_(0,_22) <= 1 Continuous
Write_a_transcript_of_intake_(0,_23) <= 1 Continuous
Write_a_transcript_of_intake_(0,_24) <= 1 Continuous
Write_a_transcript_of_intake_(0,_25) <= 1 Continuous
Write_a_transcript_of_intake_(0,_26) <= 1 Continuous
Write_a_transcript_of_intake_(0,_27) <= 1 Continuous
Write_a_transcript_of_intake_(0,_28) <= 1 Continuous
Write_a_transcript_of_intake_(0,_29) <= 1 Continuous
Write_a_transcript_of_intake_(0,_3) <= 1 Continuous
Write_a_transcript_of_intake_(0,_30) <= 1 Continuous
Write_a_transcript_of_intake_(0,_31) <= 1 Continuous
Write_a_transcript_of_intake_(0,_4) <= 1 Continuous
Write_a_transcript_of_intake_(0,_5) <= 1 Continuous
Write_a_transcript_of_intake_(0,_6) <= 1 Continuous
Write_a_transcript_of_intake_(0,_7) <= 1 Continuous
Write_a_transcript_of_intake_(0,_8) <= 1 Continuous
Write_a_transcript_of_intake_(0,_9) <= 1 Continuous

Answer 1

对于时间索引变量x[t], y[t] ∈ {0,1}，我还经常保留标量变量xt, yt ≥ 0，其中包含x,y的时间。

 xt = sum{ t*x[t] }
 yt = sum{ t*y[t] }

当然，这假设我们有：

 sum{ x[t] } = 1
 sum{ y[t] } = 1

也就是说，x,y恰好发生在一个时间(只要第一个t大于零，它也与“最多一次”一起工作)。

有了这个，您可以很容易地强加一个优先级约束：

 xt ≤ yt-1