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Optimization models for joint airline pricing and seat inventory control : multiple products, multiple periods

机译:联合航空公司定价和座位库存控制的优化模型:多个产品,多个期间

摘要

Pricing and revenue management are two essential levers to optimize the sales of an airline's seat inventory and maximize revenues. Over the past few decades, they have generated a great deal of research but have typically been studied and optimized separately. On the one hand, the pricing process focused on demand segmentation and optimal fares, regardless of any capacity constraints. On the other hand, researchers in revenue management developed algorithms to set booking limits by fare product, given a set of fares and capacity constraints. This thesis develops several approaches to solve for the optimal fares and booking limits jointly and simultaneously. The underlying demand volume in an airline market is modeled as a function of the fares. We propose an initial approach to the two-product, two-period revenue optimization problem by first assuming that the demand is deterministic. We show that the booking limit on sales of the lower-priced product is unnecessary in this case, allowing us to simplify the optimization problem. We then develop a stochastic optimization model and analyze the combined impacts of fares and booking limits on the total number of accepted bookings when the underlying demand is uncertain. We demonstrate that this joint optimization approach can provide a 3-4% increase in revenues from a traditional pricing and revenue management practices. The stochastic model is then extended to the joint pricing and seat inventory control optimization problem for booking horizons involving more than two booking periods, as is the case in reality. A generalized methodology for optimization is presented, and we show that the complexity of the joint optimization problem increases substantially with the number of booking periods. We thus develop three heuristics. Simulations for a three-period problem show that all heuristics outperform the deterministic optimization model. In addition, two of the heuristics can provide revenues close to those obtained with the stochastic model. This thesis provides a basis for the integration of pricing and revenue management. The combined effects of fares and booking limits on the number of accepted bookings, and thus on the revenues, are explicitly taken into account in our joint optimization models. We showed that the proposed approaches can further enhance revenues.
机译:定价和收入管理是优化航空公司座位库存销售和最大化收入的两个重要杠杆。在过去的几十年中,他们进行了大量研究,但通常进行单独研究和优化。一方面,定价过程着重于需求细分和最优票价,而不考虑任何容量限制。另一方面,收益管理的研究人员开发了算法,可以在给定票价和运力限制的情况下,按票价产品设置预订限制。本文提出了几种共同和同时解决最优票价和预订限制的方法。航空市场中的基本需求量是根据票价建模的。通过首先假设需求是确定性的,我们提出了针对两产品,两时期收入优化问题的初始方法。我们证明,在这种情况下,无需对低价产品的销售进行预订限制,从而使我们简化了优化问题。然后,当潜在需求不确定时,我们将开发一个随机优化模型,并分析票价和预订限制对已接受预订总数的综合影响。我们证明了这种联合优化方法可以使传统定价和收入管理方法的收入增加3-4%。然后将随机模型扩展到联合定价和席位库存控制优化问题,以解决涉及两个以上预订期的预订范围,这是现实情况。提出了一种通用的优化方法,并且我们表明联合优化问题的复杂性随着预订期的数量而大大增加。因此,我们开发了三种启发式方法。对三个周期问题的仿真表明,所有启发式算法都优于确定性优化模型。此外,两种启发式方法可以提供接近于随机模型获得的收益。本文为定价和收益管理的整合提供了基础。在我们的联合优化模型中,明确考虑了票价和预订限制对接受的预订数量以及收入的综合影响。我们证明了所提出的方法可以进一步增加收入。

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