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June 21, 2015 14:14
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schedule problem 4
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# our schedule is 3D array with (5 workdays, W workhours, P positions) for dimensions | |
day_start = 9 | |
day_end = 17 | |
day_hours = day_end - day_start | |
positions = 4 | |
people = 8 | |
position_hours = 8 | |
work_hours = 20 | |
new_schedule() = fill(0, 5, day_hours, positions) | |
schedule = new_schedule() | |
# generate random schedule of each intern's busy times | |
busy = ntuple(people, i -> fill((0,0,0), rand(0:7))) | |
for intern = 1:people | |
days = length(busy[intern]) | |
b = 0 | |
for i = 1:days | |
day = rand(1:5) | |
busy_start = rand(day_start:(day_end - 1)) | |
busy_end = rand((busy_start+1):day_end) | |
predicate(block) = day == block[1] && !isempty(intersect(busy_start:busy_end, block[2]:block[3])) | |
contradictions = filter(predicate, busy[intern][1:i-1]) | |
b = 0 | |
while !(1 <= busy_end - busy_start <= 4) || !isempty(contradictions) | |
b += 1 | |
if b > 20 | |
break | |
end | |
busy_start = rand(day_start:(day_end - 1)) | |
busy_end = rand((busy_start + 1):day_end) | |
contradictions = filter(predicate, busy[intern][1:i-1]) | |
end | |
if b > 20 | |
break | |
end | |
busy[intern][i] = (day, busy_start, busy_end) | |
end | |
if b > 20 | |
intern -= 1 | |
end | |
end | |
i = 1 | |
for b in busy | |
sort!(busy[i], lt=(x, y) -> x[1] < y[1]) | |
println(i, ": ", b) | |
i += 1 | |
end | |
busy = ntuple(people, i -> (i, busy[i])) | |
busy_times_sum(table) = isempty(table)? 0 : sum(block -> block[3] - block[2], table) | |
busy = sort([busy...], lt = (x, y) -> busy_times_sum(x[2]) > busy_times_sum(y[2])) | |
function free(schedule) | |
slots = (Int, Int, Int)[] | |
for d = 1:size(schedule, 1), h = 1:size(schedule, 2), p = 1:size(schedule, 3) | |
if schedule[d, h, p] == 0 | |
push!(slots, (d, h, p)) | |
end | |
end | |
slots | |
end | |
function free_for(person, busy, free) | |
busy_hours = (Int, Int, Int)[] | |
times = busy[person][2] | |
for (day, busy_start, busy_end) in times | |
for h = busy_start:(busy_end-1) | |
[push!(busy_hours, (day, h-day_start+1, pos)) for pos = 1:positions] | |
end | |
end | |
setdiff(free, Set(busy_hours)) | |
end | |
# p1 is the index of the person, that can't be placed | |
# p2 is the position of the candidate for swap | |
function can_swap(p1, p2, pos, schedule, p1_free_hours, p2_free_hours) | |
if !isempty(filter(val -> p1 == val, schedule[p2[1], p2[2], :])) | |
return false | |
end | |
if !isempty(filter(val -> schedule[p2...] == val, schedule[pos[1], pos[2], :])) | |
return false | |
end | |
if !in(pos, p2_free_hours) || !in(p2, p1_free_hours) | |
return false | |
end | |
true | |
end | |
remaining_hours = fill(work_hours, people) | |
for person = 1:people | |
free_slots = free(schedule) | |
free_hours = ntuple(people, i -> free_for(i, busy, free_slots)) | |
possibile = [(h[1], h[2], pos) for h = free_hours[person], pos = 1:positions] | |
available = intersect(possibile, free_slots) | |
filter!(slot -> countnz(schedule[slot[1], :, slot[3]]) < position_hours, available) | |
for h = 1:remaining_hours[person] | |
if length(available) > 0 | |
schedule[available[1]...] = busy[person][1] | |
just_taken = Set([(available[1][1], available[1][2], pos) for pos = 1:positions]) | |
available = setdiff(available, just_taken) | |
filter!(slot -> countnz(schedule[slot[1], :, slot[3]]) < position_hours, available) | |
else | |
linear_index = findfirst(x -> x == 0, schedule) | |
sub = ind2sub(size(schedule), linear_index) | |
println(sub, " for ", busy[person][1]) | |
for d = 1:size(schedule, 1), h = 1:size(schedule, 2), p = 1:size(schedule, 3) | |
p2_index = findfirst(x -> x[1] == schedule[d, h, p], busy) | |
if p2_index == 0 | |
continue | |
end | |
p1_free_hours = free_for(person, busy, free(new_schedule())) | |
p2_free_hours = free_for(p2_index, busy, free(new_schedule())) | |
if can_swap(busy[person][1], (d, h, p), sub, schedule, p1_free_hours, p2_free_hours) | |
println("swap with: ", (d, h, p)) | |
schedule[linear_index] = schedule[d, h, p] | |
schedule[d, h, p] = person | |
break | |
end | |
end | |
end | |
end | |
end | |
println(schedule) |
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