Classical Littlewood's rule (1972) for the two-period static revenue management of a single perishable resource is extended to a generic $ T $-period model with monotonically increasing fixed fares, ending with standby customers with a special fare. The expected revenue in the entire period is expressed explicitly in terms of multiple definite integrals involving the distribution function of the demand in each period. The exact optimal protection level in each period is calculated successively, resulting in the maximized total expected revenue. The Brumelle-McGill's theorem for the optimal booking limits in the $ T $-period model is also extended to a similar model with standby customers. We show some numerical examples with comments on the effects of accepting standby customers on the optimal booking limits and the increase in the expected revenue.

中文翻译：

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将Littlewood的规则扩展到具有备用客户的多期静态收入管理模型

用于单个易腐性资源的两期间静态收入管理的Classical Littlewood规则（1972年）扩展到具有固定票价单调增加的通用T $期间模型，以备用顾客以特殊票价结束。整个期间的预期收入用涉及每个期间需求分布函数的多个定积分明确表示。连续计算每个期间的确切最佳保护级别，从而获得最大的预期总收入。对于$ T $时段模型中的最佳预订限制，Brumelle-McGill定理也扩展到了具有备用客户的类似模型。