《移动游戏产品的架构·商业化与发行工程》13.1 商业化指标矩阵

// file: src/lab/biz-matrix.ts
// tier: L1
// verify: node --test test/lab/biz-matrix.test.ts
export type ProductId = "match3" | "ark";

export type Direction = "lower" | "higher";

export interface BizMetric {
  readonly id: string;
  readonly group: string;
  readonly unit: string;
  readonly match3: number;
  readonly ark: number;
  readonly direction: Direction;
  readonly budget: number;
}

export const BIZ_GROUPS = ["收入", "付费", "广告", "买量", "订单"] as const;

export const BIZ_METRICS: readonly BizMetric[] = [
  { id: "net_revenue", group: "收入", unit: "万元/月", match3: 987, ark: 2820, direction: "higher", budget: 800 },
  { id: "pay_rate", group: "付费", unit: "%", match3: 2.8, ark: 6.5, direction: "higher", budget: 2.5 },
  { id: "arppu", group: "付费", unit: "元", match3: 68, ark: 420, direction: "higher", budget: 60 },
  { id: "ad_ecpm", group: "广告", unit: "元", match3: 45, ark: 80, direction: "higher", budget: 40 },
  { id: "roi_d30", group: "买量", unit: "%", match3: 82, ark: 62, direction: "higher", budget: 65 },
  { id: "cpi", group: "买量", unit: "元", match3: 3.5, ark: 28, direction: "lower", budget: 35 },
  { id: "order_drop", group: "订单", unit: "%", match3: 0.35, ark: 0.2, direction: "lower", budget: 0.5 },
  { id: "refund_rate", group: "订单", unit: "%", match3: 1.2, ark: 0.8, direction: "lower", budget: 1.5 },
];

export type Verdict = "ok" | "watch" | "fail";

export function judge(row: BizMetric, value: number): Verdict {
  const ratio = row.direction === "lower" ? value / row.budget : row.budget / value;
  if (ratio <= 1) {
    return "ok";
  }
  if (ratio <= 1.1) {
    return "watch";
  }
  return "fail";
}

export function evaluateProduct(metrics: readonly BizMetric[], product: ProductId): readonly string[] {
  const problems: string[] = [];
  for (const row of metrics) {
    const value = row[product];
    const verdict = judge(row, value);
    if (verdict === "fail") {
      problems.push(
        `${product}:${row.id}=${value}${row.unit} misses budget ${row.budget}${row.unit}`,
      );
    }
  }
  return problems;
}

export function matrixGaps(metrics: readonly BizMetric[]): readonly string[] {
  const covered = new Set(metrics.map((row) => row.group));
  return BIZ_GROUPS.filter((group) => !covered.has(group));
}

export function watchRows(metrics: readonly BizMetric[], product: ProductId): readonly string[] {
  return metrics
    .filter((row) => judge(row, row[product]) === "watch")
    .map((row) => row.id);
}

export function netRevenue(gross: number, refundRate: number, channelShare: number): number {
  const afterRefund = gross * (1 - refundRate / 100);
  return afterRefund * (1 - channelShare / 100);
}

export function formatMatrix(metrics: readonly BizMetric[]): string {
  const header = "id\tgroup\tunit\tmatch3\tark\tbudget\tdirection";
  const rows = metrics.map(
    (row) =>
      `${row.id}\t${row.group}\t${row.unit}\t${row.match3}\t${row.ark}\t${row.budget}\t${row.direction}`,
  );
  return [header, ...rows].join("\n");
}

afterRefund = 987 × (1 − 0.012) = 975.2 万元
netRevenue  = 975.2 × (1 − 0.40) = 585.1 万元