To understand the characteristics of ocean internal waves better, we study the dispersion relation of extended-Korteweg-de Vries (EKdV) equation with quadratic and cubic nonlinear terms in a two-layer fluid by using t...To understand the characteristics of ocean internal waves better, we study the dispersion relation of extended-Korteweg-de Vries (EKdV) equation with quadratic and cubic nonlinear terms in a two-layer fluid by using the Poincaré-Lighthill-Kuo (PLK) method which is one of the perturbation methods. Starting from the partial differential equation, the PLK method can be used to solve the dispersion relation of the equation. In this paper, we use PLK method to solve the equation and derive the dispersion relation of EKdV equation which is related to wave number and amplitude. Based on the dispersion relation obtained in this paper, the expressions of group velocity and phase velocity of the equation are obtained. Under the actual hydrological data, the influence of hydrological parameters on the dispersion relation for descending internal wave is discussed. It is hope that the obtained results will be helpful to the study of energy transfer and other internal wave parameters in the future.展开更多
Transshipment is an effective method for reducing mismatches between supply and demand among retailers.Consumers attempting to purchase out-of-stock items may wait for transshipment,purchase at another store,or choose...Transshipment is an effective method for reducing mismatches between supply and demand among retailers.Consumers attempting to purchase out-of-stock items may wait for transshipment,purchase at another store,or choose not to buy.In this paper,the consumer behavioral heterogeneity is characterized using the transshipment request rate and consumer switching rate.It affects the replenishment and transshipment decisions,as well as the system profits.The inventory replenishment and transshipment decisions are studied in both centralized and decentralized two-location inventory systems with consumer behavioral heterogeneity.We characterize optimal replenishment decisions in a centralized system,prove the existence of a unique Nash equilibrium in a decentralized system with a specific demand distribution,and determine the coordinating transshipment price for some decentralized systems.In numerical studies,the performance of various systems is analyzed for consumers with identical(symmetric)or differing(asymmetric)behavior between retailers.For scenarios with symmetric consumers,a higher transshipment request rate and consumer switching rate resulted in increased total profit in all systems.For scenarios with asymmetric consumers,the retailer with the higher consumer switching rate should reduce ordering in a centralized system but increase ordering in a decentralized system.Moreover,the retailer with the higher transshipment request rate reduces ordering to increase profit,whereas the other retailer increases order quantity yet earns less profit.展开更多
文摘To understand the characteristics of ocean internal waves better, we study the dispersion relation of extended-Korteweg-de Vries (EKdV) equation with quadratic and cubic nonlinear terms in a two-layer fluid by using the Poincaré-Lighthill-Kuo (PLK) method which is one of the perturbation methods. Starting from the partial differential equation, the PLK method can be used to solve the dispersion relation of the equation. In this paper, we use PLK method to solve the equation and derive the dispersion relation of EKdV equation which is related to wave number and amplitude. Based on the dispersion relation obtained in this paper, the expressions of group velocity and phase velocity of the equation are obtained. Under the actual hydrological data, the influence of hydrological parameters on the dispersion relation for descending internal wave is discussed. It is hope that the obtained results will be helpful to the study of energy transfer and other internal wave parameters in the future.
基金supported by the National Natural Science Foundation of China(71901170,72102174,71874133,72001164,171871177)Natural Science Basic Research Program of Shaanxi(2021JM-144)+1 种基金Ministry of Educationof Humanities and Social Science Project(21XJC630004)Fundamental Research Funds for the Central Universities(RW210103JBF220602).
文摘Transshipment is an effective method for reducing mismatches between supply and demand among retailers.Consumers attempting to purchase out-of-stock items may wait for transshipment,purchase at another store,or choose not to buy.In this paper,the consumer behavioral heterogeneity is characterized using the transshipment request rate and consumer switching rate.It affects the replenishment and transshipment decisions,as well as the system profits.The inventory replenishment and transshipment decisions are studied in both centralized and decentralized two-location inventory systems with consumer behavioral heterogeneity.We characterize optimal replenishment decisions in a centralized system,prove the existence of a unique Nash equilibrium in a decentralized system with a specific demand distribution,and determine the coordinating transshipment price for some decentralized systems.In numerical studies,the performance of various systems is analyzed for consumers with identical(symmetric)or differing(asymmetric)behavior between retailers.For scenarios with symmetric consumers,a higher transshipment request rate and consumer switching rate resulted in increased total profit in all systems.For scenarios with asymmetric consumers,the retailer with the higher consumer switching rate should reduce ordering in a centralized system but increase ordering in a decentralized system.Moreover,the retailer with the higher transshipment request rate reduces ordering to increase profit,whereas the other retailer increases order quantity yet earns less profit.
