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require 'set' |
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require 'pp' |
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module Scheduling |
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# Represents a particular schedule (i.e. assignment of sessions to timeslots) for the purpose of annealing. |
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# Scores the schedule and returns nearby variations. |
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# |
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class Schedule |
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def initialize(event) |
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@ctx = Scheduling::Context.new(event) |
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@slots_by_session = {} # map from session to timeslot |
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@sessions_by_slot = empty_array_hash # map from timeslot to array of sessions |
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@schedulable_sessions = Set.new # sessions we’re allowed to move around |
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fill_schedule!( |
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event.sessions |
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.includes(:timeslot) |
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.to_a) |
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end |
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def initialize_copy(source) # deep copy; called by dup |
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@slots_by_session = @slots_by_session.dup |
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@sessions_by_slot = empty_array_hash |
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@slots_by_session.each { |session, slot| @sessions_by_slot[slot] << session } |
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end |
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def slot_id_for(session_id) |
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@slots_by_session[session_id]&.id |
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end |
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private |
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attr_reader :ctx |
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class EmptyRoom # placeholder for empty room, which can be swapped with real sessions |
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def to_s |
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"<< open >>" |
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end |
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end |
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public |
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# ------------ Scoring ------------ |
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# This is the metric we're trying to minimize. It's called "energy" in simulated annealing by analogy to the |
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# real-life physical process of annealing, in which a cooling material minimizes the energy of its chemical bonds. |
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# |
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def energy |
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(1 - attendance_score) + |
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(1 - presenter_score) * ctx.people.size # Multiplier b/c presenter double-bookings trump attendance prefs |
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end |
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# Average attendee satisfaction with the schedule, measured as the estimated fraction of the total value |
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# of all their desired sessions that this schedule will give them. (1 = perfect schedule for everyone; |
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# 0 = no attendees can attend any desired sessions at all.) |
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# |
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def attendance_score |
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score(:attending) |
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end |
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# Average ability of presenter to present all the sessions they signed up for. For an optimized schedule, |
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# this should always be 1 unless a presenter created an inherent conflict (e.g. signing up to present more |
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# sessions than there are timeslots.) |
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# |
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def presenter_score |
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score(:presenting) |
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end |
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# Gives bounds on the possible range of attendance_score. Returns [best, random, worst] scores. |
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def attendance_score_metrics |
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count = ctx.people.size.to_f |
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%i( |
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worst_possible_score |
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random_schedule_score |
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best_possible_score |
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).map do |metric| |
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ctx.people.sum { |p| p.attending.send(metric) } / count |
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end |
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end |
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private |
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def score(role) |
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count = ctx.people.size |
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score = ctx.people.sum do |person| |
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person.send(role).score(self) |
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end |
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if count == 0 |
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1 |
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else |
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score / count |
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end |
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end |
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public |
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# ------------ State space traversal ------------ |
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# Fill the schedule, using existing timeslots if any are present, assigning the remaining sessions |
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# randomly, then adding empty placeholders to openings in the schedule. |
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# |
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def fill_schedule!(sessions) |
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sessions.each do |session| |
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schedule(session.id, session.timeslot) if session.timeslot |
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end |
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@schedulable_sessions += sessions.reject(&:manually_scheduled).map(&:id) |
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unassigned = sessions.reject(&:timeslot).reject(&:manually_scheduled) |
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ctx.timeslots.each do |slot| |
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opening_count = ctx.room_count - @sessions_by_slot[slot].size |
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slot_sessions = (unassigned.slice!(0, opening_count) || []).map(&:id) |
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while slot_sessions.size < opening_count |
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placeholder = EmptyRoom.new |
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slot_sessions << placeholder |
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@schedulable_sessions << placeholder |
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end |
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slot_sessions.each { |session| schedule(session, slot) } |
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end |
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unless unassigned.empty? |
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raise "Not enough room / slot combinations! There are #{sessions.size} sessions, but only #{ctx.timeslots.size} times slots * #{ctx.room_count} rooms = #{ctx.timeslots.size * ctx.room_count} combinations." |
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end |
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@schedulable_timeslots = ctx.timeslots.select do |slot| |
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schedulable_sessions_in_slot(slot).any? |
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end |
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puts "#{ctx.timeslots.size - @schedulable_timeslots.size} timeslot(s) have no movable sessions" |
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end |
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# Return a similar but slightly different schedule. Used by the annealing algorithm to explore |
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# the scheduling space. |
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# |
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def random_neighbor |
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dup.random_neighbor! |
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end |
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def random_neighbor! |
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# Choose 2 or more random sessions in distinct time slots |
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k = 1.0 / (@schedulable_timeslots.size - 1) |
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cycle_size = 1 + ((1 + k) / (rand + k)).floor |
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slot_cycle = @schedulable_timeslots.shuffle.slice(0, cycle_size) |
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# Rotate their assignments |
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slot_cycle.each_with_index do |old_slot, i| |
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new_slot = slot_cycle[(i+1) % slot_cycle.size] |
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schedule random_schedulable_session(old_slot), new_slot |
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end |
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self |
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end |
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private |
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def schedulable_sessions_in_slot(slot) |
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@schedulable_sessions & @sessions_by_slot[slot] |
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end |
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def random_schedulable_session(slot) |
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schedulable_sessions_in_slot(slot).to_a.sample |
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end |
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def schedule(session, new_slot) |
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old_slot = @slots_by_session[session] |
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@sessions_by_slot[old_slot].delete(session) if old_slot |
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@slots_by_session[session] = new_slot |
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@sessions_by_slot[new_slot] << session if new_slot |
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end |
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public |
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# ------------ Managing results ------------ |
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def save! |
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Session.transaction do |
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ctx.timeslots.sort_by(&:starts_at).each do |slot| |
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puts slot |
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sessions = Session.find( |
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schedulable_sessions_in_slot(slot).reject { |s| EmptyRoom === s }) |
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sessions.sort_by { |s| -s.attendance_count }.each do |session| |
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puts " #{session.id} #{session.title}" + |
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" (#{session.attendances.count} vote(s) / #{'%1.1f' % session.estimated_interest} interest)" |
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session.timeslot = slot |
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session.room = nil # Rooms have to be reassigned after rearranging timeslots |
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session.save! |
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end |
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end |
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end |
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end |
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def dump_presenter_conflicts |
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unhappy_presenters = ctx.people.select do |person| |
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person.presenting.score(self) < 1 |
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end |
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if unhappy_presenters.any? |
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puts |
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puts "WARNING! The following presenters have problems with this schedule:" |
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unhappy_presenters.each do |person| |
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puts " #{person.id} #{Participant.find(person.id).name}" |
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end |
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puts |
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end |
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end |
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def inspect |
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worst_score, random_score, best_score = self.attendance_score_metrics |
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attendance_score_scaled = (attendance_score - random_score) / (best_score - random_score) |
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s = "Schedule\n" |
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s << "| quality vs. random = #{format_percent attendance_score_scaled} (0% is no better than random; 100% is unachievable; > 50% is good)\n" |
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s << "| absolute satisfaction = #{format_percent attendance_score} of impossibly perfect schedule\n" |
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s << "| presenter score = #{format_percent presenter_score} (if < 100 then presenters have conflicts)\n" |
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ctx.timeslots.each do |slot| |
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s << " #{slot}: #{@sessions_by_slot[slot].join(' ')}\n" |
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end |
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s |
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end |
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def inspect_bounds |
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worst_score, random_score, best_score = self.attendance_score_metrics |
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s = "If we could give everyone a different schedule optimized just for them,\n" |
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s << "the schedule quality could be...\n" |
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s << "\n" |
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s << " at worst #{'%03.3f' % ((worst_score) * 100)}%\n" |
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s << " at best #{'%03.3f' % ((best_score ) * 100)}%\n" |
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s << "\n" |
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s << "Note that these are outer limits on what is possible.\n" |
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s << "Neither the best nor the worst score is likely to be achievable.\n" |
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s << "\n" |
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s << "If we pick a schedule at random, its score will be about\n" |
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s << "\n" |
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s << " #{'%03.3f' % ((random_score) * 100)}%\n" |
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s << "\n" |
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s << "...and that's what we're trying to improve on.\n" |
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end |
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private |
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def format_percent(x) |
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"#{'%1.3f' % (x * 100)}%" |
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end |
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def empty_array_hash |
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Hash.new { |h,k| h[k] = [] } |
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end |
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end |
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end |
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