The price model for a single commodity market is a very important economic model that describes the basic rules for price fluctuations in a single commodity market. In this paper, we investigated the general case for ...The price model for a single commodity market is a very important economic model that describes the basic rules for price fluctuations in a single commodity market. In this paper, we investigated the general case for the model, and proved that every positive solution is bounded and we obtained a necessary and sufficient condition for oscillation of every positive solution concerning positive state solution.展开更多
Cognitive radio is a new intelligent wireless communication technique for remedying the shortage of spectrum resource in recent years. Secondary users have to pay when they share available spectrum with primary users ...Cognitive radio is a new intelligent wireless communication technique for remedying the shortage of spectrum resource in recent years. Secondary users have to pay when they share available spectrum with primary users while price is an important factor in the spectrum allocation. Based on the game theory, an improved pricing function is proposed by considering the expectation of primary users. In this article, expectation represents the positivity of sharing spectrum with primary users. By introducing the positivity, price not only becomes different for different secondary users, but also can be adjusted according to the positivity. It is proved that the Nash Equilibrium of the new utility function exists. The simulation results show that spectrum sharing can not only be determined by the channel quality of secondary users, but also can be adapted according to the expectation of primary users. Besides, the proposed algorithm improves the fairness of sharing.展开更多
With the latest introduction of the demand side management （DSM） in smart grids, the power distribution units are able to modify the load schedules of the consumers. This involves a co-operative interaction of the u...With the latest introduction of the demand side management （DSM） in smart grids, the power distribution units are able to modify the load schedules of the consumers. This involves a co-operative interaction of the utility and the consumers so as to achieve customer load modifications in which the customer, utility and society all are benefited. The interaction is performed with the help of the devices known as the smart meter. This paper shows the use of game theory and logical mathematical expressions in order to achieve the objec- tives. The objectives are to minimize the peak to average ratio （PAR） and the energy cost. The outcome of the game between supplier and customers helps to shape the load profile. The design proposed in this paper is very user- friendly and is based on simple logarithmic programming computations. In this paper, residential, commercial and industrial types of loads are taken into account. A basic 24 h load schedule along with the fluctuating prices at each hour of the day is forecasted by the supplier of the various shiftable and non-shiftable loads and then that schedule is conveyed to the user. The users are encouraged to shift their high load devices to off-peak hours which will not only reduce their electricity costs but also substantially reduce the PAR in the load demand.展开更多
文摘The price model for a single commodity market is a very important economic model that describes the basic rules for price fluctuations in a single commodity market. In this paper, we investigated the general case for the model, and proved that every positive solution is bounded and we obtained a necessary and sufficient condition for oscillation of every positive solution concerning positive state solution.
基金supported by the National Natural Science Foundation of China (60772062)the National Basic Research Program of China (2007CB310607)+2 种基金National Science & Technology Key Project (2009ZX03003-002)the Hi-Tech Research and Development Program of China (2009AA01Z241)the Open Research Fund of National Mobile Communications Research Laboratory, Southeast University (N200813)
文摘Cognitive radio is a new intelligent wireless communication technique for remedying the shortage of spectrum resource in recent years. Secondary users have to pay when they share available spectrum with primary users while price is an important factor in the spectrum allocation. Based on the game theory, an improved pricing function is proposed by considering the expectation of primary users. In this article, expectation represents the positivity of sharing spectrum with primary users. By introducing the positivity, price not only becomes different for different secondary users, but also can be adjusted according to the positivity. It is proved that the Nash Equilibrium of the new utility function exists. The simulation results show that spectrum sharing can not only be determined by the channel quality of secondary users, but also can be adapted according to the expectation of primary users. Besides, the proposed algorithm improves the fairness of sharing.
文摘With the latest introduction of the demand side management （DSM） in smart grids, the power distribution units are able to modify the load schedules of the consumers. This involves a co-operative interaction of the utility and the consumers so as to achieve customer load modifications in which the customer, utility and society all are benefited. The interaction is performed with the help of the devices known as the smart meter. This paper shows the use of game theory and logical mathematical expressions in order to achieve the objec- tives. The objectives are to minimize the peak to average ratio （PAR） and the energy cost. The outcome of the game between supplier and customers helps to shape the load profile. The design proposed in this paper is very user- friendly and is based on simple logarithmic programming computations. In this paper, residential, commercial and industrial types of loads are taken into account. A basic 24 h load schedule along with the fluctuating prices at each hour of the day is forecasted by the supplier of the various shiftable and non-shiftable loads and then that schedule is conveyed to the user. The users are encouraged to shift their high load devices to off-peak hours which will not only reduce their electricity costs but also substantially reduce the PAR in the load demand.
