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Stochastic bilevel models for revenue management in the hotel industry.

机译:旅馆业收入管理的随机双水平模型。

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In this thesis, we develop and solve a stochastic bilevel model for the hotel industry, which is nowadays considered as a mature industry marked by an intense competition and by a complex inventory management. We noticed that over the last 30 years, Hotel Revenue Management research has not proposed and solved models that consider simultaneously inventory assignments, price, length of stay, quality of service and uncertainty. Therefore, the purpose of this doctoral research is to develop a new model for Hotel Revenue Management that is inspired from bilevel pricing models and from the Two-stage Stochastic Models and that allows hotel's managers to account with useful data for pricing decision and assignment allocation, based on a better understanding of consumers' behavior and market uncertainty.;In order to introduce uncertainty information, we have developed a two-stage model: in the first stage the leader set its prices with the goal of maximizing profits in the upper level, and each users' group chooses the least expensive inventory considering the attributes previously defined by them (distance and quality of service), at the lower level. In the second stage, we introduce uncertain information about competitors' prices and demand, and thus the leader must set again its prices and inventory allocations, which also implies changes in users' group distributions. The stages are tied by price variation in each inventory through an absolute and proportional constraint.;We consider that uncertainty can be modeled with the support of random vectors that follow a known distribution function. This information might come from historical data or from the empirical knowledge of the distribution function, and that is close to the true unknown uncertainty. We assume that the random vectors have a finite number of realizations, which in our case corresponds to the scenarios.;In order to solve our model, we developed not only exact strategies but also heuristics. The exact strategy consisted in transforming the basic problem into a Mixed Integer Program problem using the Karush-Kuhn-Tucker Conditions conditions , through the use of big constants and auxiliary binary variables. The main achievement in terms of heuristics is the development of our greedy heuristic, which was able to solve the problem efficiently. This heuristic consisted in copying competitors' prices and re-optimizing in favor of the leader. To keep a global search, the exploration process was followed by a Mixed Integer Program restricted problem that took as origin the solution provided by our heuristic. Finally, the exact strategy supported by heuristics consisted in adding to the Mixed Integer Program original problem a heuristic that looks for integer solutions directly in the branch and bound (B&B) tree.;Once the model and the heuristics were developed, a data generation process was designed. The procedure sought not only to generate realistic instances for the industry but also to avoid unfeasible situations. To do this, we modeled price and demand fluctuations through the use of uniform random variables and we developed an analytical process that allowed us to disregard quickly atypical situations. The numerical results are presented for the two previous strategies, being the most performing the one based on our heuristic complemented with the Mixed Integer Program restricted problem. Moreover, the obtained results performed as expected in terms of its economic behavior. Depending on having or not a competitive advantage with respect to the location of its hotels, the leader has a more or less predatory behavior with its competition. In a situation under a competitive advantage, the leader seeks to imitate the price of its competitors in order to attract users' groups that provide the highest revenue. If the leader is not in an advantageous position, it set lower prices than the competition to compensate users' groups more sensible to distance. At the same time, it set competitive prices to attract users' groups that are more sensitive to quality of service than to distance, which implies that the leader reallocates its inventories and disregards users' groups providing lower revenues.;First, we introduced stochasticity on price and demand simultaneously and then, we added more complexity by varying the capacity of the industry. The heuristic was able to obtain a result, which was again behaving economically as expected.;Therefore, the main contributions of this research are to provide a elaborated model for Hotel Revenue Management, to solve small and large instances in a reasonable computing time, to obtain good results through the use of our heuristic (although we cannot assure it is the optimal solution), and to provide very useful results such as: pricing information, users group distribution in inventories, users group revenue contributions, sensitivity to capacity parameters, for decision making in the hotel industry. (Abstract shortened by UMI.).
机译:在本文中,我们开发并解决了酒店行业的随机双层模型,该模型如今被认为是成熟的行业,其特征是竞争激烈且库存管理复杂。我们注意到,在过去30年中,酒店收入管理研究尚未提出并解决同时考虑库存分配,价格,停留时间,服务质量和不确定性的模型。因此,本博士研究的目的是为酒店收入管理开发一种新模型,该模型的灵感来自于两级定价模型和两阶段随机模型,并允许酒店管理者考虑有用的数据以进行定价决策和分配任务,为了更好地了解消费者的行为和市场不确定性。为了引入不确定性信息,我们开发了一个两阶段的模型:在第一阶段,领导者设定价格是为了最大程度地提高利润,然后,每个用户组都会在较低的级别上考虑他们先前定义的属性(距离和服务质量)来选择价格最低的广告资源。在第二阶段,我们引入有关竞争对手价格和需求的不确定信息,因此领导者必须再次设置其价格和库存分配,这也意味着用户组分布的变化。这些阶段通过绝对和比例约束与每个库存中的价格变化联系在一起;我们认为可以在遵循已知分布函数的随机向量的支持下对不确定性进行建模。该信息可能来自历史数据或来自分布函数的经验知识,这接近于真正的未知不确定性。我们假设随机向量具有有限数量的实现,在我们的情况下,这种实现对应于场景。为了解决模型,我们不仅开发了精确的策略,还开发了启发式算法。确切的策略包括通过使用大常量和辅助二进制变量,使用Karush-Kuhn-Tucker条件将基本问题转化为混合整数程序问题。启发式方法的主要成就是我们贪婪启发式方法的发展,它能够有效地解决问题。这种启发包括复制竞争对手的价格并重新优化以支持领导者。为了保持全局搜索,在探索过程之后是一个混合整数程序限制的问题,该问题以我们的启发式方法提供的解决方案为源。最后,启发式方法支持的确切策略包括在混合整数程序原始问题中添加一个启发式方法,该方法直接在分支定界(B&B)树中查找整数解。;一旦模型和启发式方法开发完毕,数据生成过程被设计。该程序不仅要为行业生成现实的实例,而且还要避免不可行的情况。为此,我们通过使用统一的随机变量对价格和需求波动进行建模,并开发了一种分析方法,使我们能够快速忽略非典型情况。给出了前两种策略的数值结果,这是基于我们的启发式方法和混合整数程序限制问题补充而表现最好的一种。而且,所获得的结果就其经济行为而言按预期表现。取决于在酒店位置方面是否具有竞争优势,领导者在竞争中或多或少具有掠夺性行为。在具有竞争优势的情况下,领导者试图模仿竞争对手的价格,以吸引收入最高的用户群体。如果领导者没有处于有利位置,它将设置比竞争对手更低的价格,以补偿对距离更敏感的用户组。同时,它设置了具有竞争力的价格以吸引对服务质量比对距离更敏感的用户组,这意味着领导者重新分配其库存,而忽略了收入较低的用户组。首先,我们引入了随机性价格和需求同时出现,然后,通过改变行业的能力,我们增加了更多的复杂性。启发式方法能够获得结果,再次在经济上符合预期。;因此,本研究的主要贡献在于提供一种详细的酒店收入管理模型,以在合理的计算时间内解决大小实例。通过使用我们的启发式方法(尽管我们不能保证它是最佳解决方案)获得良好的结果,并提供非常有用的结果,例如:定价信息,库存中的用户组分布,用户组收入贡献,对容量参数的敏感性,用于酒店行业的决策。 (摘要由UMI缩短。)。

著录项

  • 作者单位

    Ecole Polytechnique, Montreal (Canada).;

  • 授予单位 Ecole Polytechnique, Montreal (Canada).;
  • 学科 Operations Research.;Engineering Industrial.;Recreation.
  • 学位 Ph.D.
  • 年度 2014
  • 页码 173 p.
  • 总页数 173
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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