From 5fa64a872059d7245070de69f2dded138eea2d1a Mon Sep 17 00:00:00 2001 From: ntnt Date: Sat, 17 Jan 2026 19:25:35 +0800 Subject: [PATCH] P1: schedule --- README.md | 24 +- data/kmin_effectiveness.png | Bin 251664 -> 252075 bytes data/kmin_effectiveness_data.csv | 182 +++--- data/schedule_long_kmin6.8_gap14.csv | 731 ++++++++++++++++++++++ data/schedule_optimized_kmin6.8_gap14.csv | 366 +++++++++++ data/site_visits_kmin6.8_gap14.csv | 71 +++ kmin_effectiveness.py | 6 +- scheduling_optimization.py | 295 +++++++++ 8 files changed, 1580 insertions(+), 95 deletions(-) create mode 100644 data/schedule_long_kmin6.8_gap14.csv create mode 100644 data/schedule_optimized_kmin6.8_gap14.csv create mode 100644 data/site_visits_kmin6.8_gap14.csv create mode 100644 scheduling_optimization.py diff --git a/README.md b/README.md index 98587d9..61ad886 100644 --- a/README.md +++ b/README.md @@ -1 +1,23 @@ -# 20260116 美赛模拟 食物分发 +# 20260116 美赛模拟:食物分发(MFP) + +本仓库包含对 2019 年 MFP 站点数据的频次分配(任务一)与全年排班优化(任务二)脚本。 +核心数据文件:`prob/MFP Regular Sites 2019.xlsx`。 + +## Task 1: 频次分配(Visit Frequency Allocation) + +目标:在总车次约束下,为每个站点分配年度访问次数 `f_i`,并评估有效性/公平性(含最低10%平均、基尼系数等)。 + +- 运行:`python3 kmin_effectiveness.py` +- 输出(写入 `data/`): + - `data/kmin_effectiveness.png`:k_min 与指标曲线图 + - `data/kmin_effectiveness_data.csv`:每个 `k_min` 的汇总指标 + 各站点 `visits_01..visits_N` + - `data/kmin_effectiveness_sites.csv`:`visits_XX` 与站点名称/顺序映射 + +说明:`kmin_effectiveness.py` 当前使用 Monte Carlo(引入 `StDev(Demand per Visit)`)对有效性做多次模拟平均。 + +## Scheduling (Step 2) + +Optimize a 365-day schedule with at most 2 visits per day and minimum gap constraints: + +- `python3 scheduling_optimization.py --days 365 --daily-capacity 2 --gap-min 14` +- Outputs are written to `data/` (e.g., `data/schedule_optimized_kmin6.8_gap14.csv`), using `data/kmin_effectiveness_data.csv` as the frequency source. diff --git a/data/kmin_effectiveness.png b/data/kmin_effectiveness.png index 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z`#H{gQk-|CiY;1WRw>Z|JP`htZ6HX@wWUi)Wr!af-je{puL|%9!I4k0jtip8>RN)j zM|#>Op=R@z?{c15B(Pnx6}JE|bL%20j73Pg-=7AiHBJdQZuqs|J>oxm4M5CoSna#^ zw^QlSB~@m9FI~> Tuple[float, pd.Series]: + if k_min is not None: + idx = (df["k_min"] - float(k_min)).abs().idxmin() + row = df.loc[idx] + return float(row["k_min"]), row + + candidates = df.loc[df["gini_eff"] < 0.2] + if len(candidates) > 0: + row = candidates.iloc[0] + return float(row["k_min"]), row + + idx = df["effectiveness"].idxmax() + row = df.loc[idx] + return float(row["k_min"]), row + + +def load_inputs( + *, + results_csv: str = DEFAULT_RESULTS_CSV, + sites_csv: str = DEFAULT_SITES_CSV, + days: int = 365, + daily_capacity: int = 2, + gap_min: int = 14, + k_min: Optional[float] = None, +) -> SchedulingInputs: + df_results = pd.read_csv(results_csv) + selected_k, row = _select_kmin_row(df_results, k_min) + + visit_cols = [c for c in df_results.columns if c.startswith("visits_")] + if not visit_cols: + raise ValueError(f"No visits_* columns found in {results_csv}") + + freqs = [int(row[c]) for c in visit_cols] + if any(f < 0 for f in freqs): + raise ValueError("Frequencies must be non-negative") + + df_sites = pd.read_csv(sites_csv) + # site_idx in files is 1-based, and matches visits_01.. ordering. + df_sites = df_sites.sort_values("site_idx") + site_names = df_sites["site_name"].astype(str).tolist() + if len(site_names) != len(freqs): + raise ValueError( + f"Site count mismatch: {len(site_names)} sites in {sites_csv}, {len(freqs)} frequencies in {results_csv}" + ) + + if days <= 0: + raise ValueError("days must be > 0") + if daily_capacity <= 0: + raise ValueError("daily_capacity must be > 0") + if gap_min < 1: + raise ValueError("gap_min must be >= 1") + + for i, f in enumerate(freqs, start=1): + if f >= 2 and gap_min * (f - 1) > (days - 1): + raise ValueError( + f"Infeasible for site {i}: f_i={f} with gap_min={gap_min} does not fit in {days} days." + ) + + return SchedulingInputs( + days=days, + daily_capacity=daily_capacity, + gap_min=gap_min, + k_min=selected_k, + site_names=site_names, + frequencies=freqs, + ) + + +def solve_schedule_cp_sat( + inputs: SchedulingInputs, + *, + time_limit_s: float = 60.0, + num_workers: Optional[int] = None, +) -> List[Tuple[int, int]]: + """ + Returns a list of (day, site_idx) visits, where day is 0-based and site_idx is 1-based. + """ + try: + from ortools.sat.python import cp_model + except ModuleNotFoundError as e: + raise RuntimeError( + "Missing dependency: ortools. Install with `pip install ortools` and rerun." + ) from e + + days = inputs.days + cap = inputs.daily_capacity + gap_min = inputs.gap_min + freqs = inputs.frequencies + + model = cp_model.CpModel() + + all_intervals = [] + visit_starts: List[List[cp_model.IntVar]] = [] + + for site_idx_1based, f_i in enumerate(freqs, start=1): + starts_i: List[cp_model.IntVar] = [] + for k in range(f_i): + start = model.NewIntVar(0, days - 1, f"s_{site_idx_1based}_{k}") + end = model.NewIntVar(1, days, f"e_{site_idx_1based}_{k}") + model.Add(end == start + 1) + interval = model.NewIntervalVar(start, 1, end, f"iv_{site_idx_1based}_{k}") + all_intervals.append(interval) + starts_i.append(start) + for k in range(f_i - 1): + model.Add(starts_i[k + 1] >= starts_i[k] + gap_min) + visit_starts.append(starts_i) + + # At most 2 trucks per day (each visit is a 1-day interval, demand=1). + model.AddCumulative(all_intervals, [1] * len(all_intervals), cap) + + # Objective: minimize total absolute deviation from ideal gap (days / f_i). + objective_terms = [] + for site_idx_1based, f_i in enumerate(freqs, start=1): + if f_i < 2: + continue + target_scaled = int(round((days * 100.0) / f_i)) + starts_i = visit_starts[site_idx_1based - 1] + for k in range(f_i - 1): + gap = model.NewIntVar(gap_min, days - 1, f"gap_{site_idx_1based}_{k}") + model.Add(gap == starts_i[k + 1] - starts_i[k]) + + diff = model.NewIntVar(-(days * 100), days * 100, f"diff_{site_idx_1based}_{k}") + model.Add(diff == gap * 100 - target_scaled) + + dev = model.NewIntVar(0, days * 100, f"dev_{site_idx_1based}_{k}") + model.AddAbsEquality(dev, diff) + objective_terms.append(dev) + + model.Minimize(sum(objective_terms) if objective_terms else 0) + + solver = cp_model.CpSolver() + solver.parameters.max_time_in_seconds = float(time_limit_s) + if num_workers is not None: + solver.parameters.num_search_workers = int(num_workers) + + status = solver.Solve(model) + if status not in (cp_model.OPTIMAL, cp_model.FEASIBLE): + raise RuntimeError(f"No feasible schedule found (status={status}). Try relaxing constraints.") + + visits: List[Tuple[int, int]] = [] + for site_idx_1based, starts_i in enumerate(visit_starts, start=1): + for start in starts_i: + visits.append((int(solver.Value(start)), site_idx_1based)) + + return visits + + +def write_outputs( + inputs: SchedulingInputs, + visits: List[Tuple[int, int]], +) -> None: + os.makedirs(OUTPUT_DIR, exist_ok=True) + + k_tag = f"{inputs.k_min:.1f}" + stem = f"kmin{k_tag}_gap{inputs.gap_min}" + + # Wide per-day schedule (two slots). + day_to_sites = {d: [] for d in range(inputs.days)} + for day0, site_idx in visits: + day_to_sites[day0].append(site_idx) + for d in range(inputs.days): + day_to_sites[d].sort() + + wide_rows = [] + for day0 in range(inputs.days): + slots = day_to_sites[day0] + s1 = slots[0] if len(slots) > 0 else "" + s2 = slots[1] if len(slots) > 1 else "" + n1 = inputs.site_names[s1 - 1] if s1 else "" + n2 = inputs.site_names[s2 - 1] if s2 else "" + wide_rows.append( + { + "day": day0 + 1, + "site1_idx": s1, + "site1_name": n1, + "site2_idx": s2, + "site2_name": n2, + } + ) + pd.DataFrame(wide_rows).to_csv(os.path.join(OUTPUT_DIR, f"schedule_optimized_{stem}.csv"), index=False) + + # Long schedule (one row per visit). + long_rows = [] + for day0, site_idx in sorted(visits): + long_rows.append( + { + "day": day0 + 1, + "site_idx": site_idx, + "site_name": inputs.site_names[site_idx - 1], + } + ) + pd.DataFrame(long_rows).to_csv(os.path.join(OUTPUT_DIR, f"schedule_long_{stem}.csv"), index=False) + + # Per-site visit days and intervals. + site_rows = [] + per_site = {i: [] for i in range(1, len(inputs.site_names) + 1)} + for day0, site_idx in visits: + per_site[site_idx].append(day0 + 1) + for site_idx in per_site: + per_site[site_idx].sort() + + for site_idx, days_list in per_site.items(): + gaps = [b - a for a, b in zip(days_list, days_list[1:])] + site_rows.append( + { + "site_idx": site_idx, + "site_name": inputs.site_names[site_idx - 1], + "f_i": inputs.frequencies[site_idx - 1], + "visit_days": ";".join(map(str, days_list)), + "gaps": ";".join(map(str, gaps)), + "min_gap": min(gaps) if gaps else "", + "avg_gap": (sum(gaps) / len(gaps)) if gaps else "", + } + ) + pd.DataFrame(site_rows).to_csv(os.path.join(OUTPUT_DIR, f"site_visits_{stem}.csv"), index=False) + + +def main() -> None: + parser = argparse.ArgumentParser(description="Optimize 365-day MFP schedule with CP-SAT.") + parser.add_argument("--results-csv", default=DEFAULT_RESULTS_CSV) + parser.add_argument("--sites-csv", default=DEFAULT_SITES_CSV) + parser.add_argument("--days", type=int, default=365) + parser.add_argument("--daily-capacity", type=int, default=2) + parser.add_argument("--gap-min", type=int, default=14) + parser.add_argument("--kmin", type=float, default=None, help="Pick the nearest k_min row from results CSV.") + parser.add_argument("--time-limit", type=float, default=60.0) + parser.add_argument("--workers", type=int, default=None) + args = parser.parse_args() + + inputs = load_inputs( + results_csv=args.results_csv, + sites_csv=args.sites_csv, + days=args.days, + daily_capacity=args.daily_capacity, + gap_min=args.gap_min, + k_min=args.kmin, + ) + + total_visits = sum(inputs.frequencies) + print( + f"Selected k_min={inputs.k_min:.1f}, sites={len(inputs.site_names)}, " + f"total_visits={total_visits}, capacity={inputs.days * inputs.daily_capacity}, gap_min={inputs.gap_min}" + ) + + visits = solve_schedule_cp_sat(inputs, time_limit_s=args.time_limit, num_workers=args.workers) + write_outputs(inputs, visits) + print(f"Saved schedule CSVs to `{OUTPUT_DIR}/` (k_min={inputs.k_min:.1f}).") + + +if __name__ == "__main__": + main() +

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