Optimization models for inventory systems with price-dependent supply
Başlık çevirisi mevcut değil.
- Tez No: 402740
- Danışmanlar: DR. JOSEPH GEUNES
- Tez Türü: Doktora
- Konular: Ekonomi, Maliye, Economics, Finance
- Anahtar Kelimeler: Belirtilmemiş.
- Yıl: 2016
- Dil: İngilizce
- Üniversite: Unıversıty Of Florıda
- Enstitü: Yurtdışı Enstitü
- Ana Bilim Dalı: Belirtilmemiş.
- Bilim Dalı: Belirtilmemiş.
- Sayfa Sayısı: Belirtilmemiş.
Özet
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Özet (Çeviri)
In this dissertation we consider a class of production planning problems for a producer who procures an input component for production by offering a price to suppliers. The available supply quantity for the production input depends on the price the producer offers, and this supply level constrains production output. We consider this problem in several problem settings. First, we study the case where the producer seeks a time-phased production and supply-pricing plan that minimizes the cost incurred while meeting a set of demands over a nite horizon consisting of a discrete number of time periods. We model the problem as a nite-horizon, discrete-time production and component-supply-pricing planning problem with non-stationary costs, demands, and component supply levels. This leads to a class of two-level lot-sizing problems with objective functions that are neither concave nor convex. Although the most general version of the problem is NP-Hard, we provide polynomial-time algorithms for practical special cases. Motivated by this problem we also provide a polynomial-time algorithm for economic lot-sizing problems with convex costs in the production and inventory quantities. The resulting algorithm is based on a primal-dual approach that takes advantage of the problem's special structure. Second, we consider the problem in an in nite-horizon setting with stationary production and inventory holding costs as well as stationary demand and supply rates. We analyze the behavior of the optimal replenishment and pricing policy, which depends on the economics of production and procurement costs and the prices associated with input components and end-items. This analysis sheds light on how to deal with price-dependent supply in production planning, as well as on the value of supplier heterogeneity and information on the relationship between component price and supply. Third, we consider the problem in a single planning period where the demand is random, which provides a generalization of the newsvendor problem. We characterize the optimal order quantity for cases in which the supply versus price relationship is either linear or nonlinear. We also examine cases where demand is also price sensitive, and analyze the behavior of the optimal pro t margin.
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