Two problems related to prescribed curvature measures
Yong Huang Lu Xu
Discrete & Continuous Dynamical Systems - A 2013, 33(5): 1975-1986 doi: 10.3934/dcds.2013.33.1975
Existence of convex body with prescribed generalized curvature measures is discussed, this result is obtained by making use of Guan-Li-Li's innovative techniques. Moreover, we promote Ivochkina's $C^2$ estimates for prescribed curvature equation in [12,13].
keywords: curvature equations. curvature measure Hypersurfaces
Pricing and replenishment strategy for a multi-market deteriorating product with time-varying and price-sensitive demand
Po-Chung Yang Hui-Ming Wee Shen-Lian Chung Yong-Yan Huang
Journal of Industrial & Management Optimization 2013, 9(4): 769-787 doi: 10.3934/jimo.2013.9.769
Due to globalization and technological advances, increasing competition and falling prices have forced enterprises to reduce cost; this poses new challenges in pricing and replenishment strategy. The study develops a piecewise production-inventory model for a multi-market deteriorating product with time-varying and price-sensitive demand. Optimal product pricing and material replenishment strategy is derived to optimize the manufacturer's total profit. Sensitivity analyses of how the major parameters affect the decision variables were carried out. Finally, the single production cycle is extended to multiple production cycles. We find that the total profit for multiple production cycle increases 5.77/100 when compared with the single production cycle.
keywords: Time-varying demand multi-market single and multiple production cycles. deterioration price-sensitive demand

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