将李群理论用于金融问题中出现的数学模型的微分方程,研究了Zero-Coupon bond pricing模型.求出了该模型的单参数李点对称及它相应的群伴随表达式,由此求得该模型允许的一维李群的子代数的最优系统并且利用最优系统构造该模型相应的微...将李群理论用于金融问题中出现的数学模型的微分方程,研究了Zero-Coupon bond pricing模型.求出了该模型的单参数李点对称及它相应的群伴随表达式,由此求得该模型允许的一维李群的子代数的最优系统并且利用最优系统构造该模型相应的微分方程的一些特殊的不同类的闭解.展开更多
Issuing coupons is a common marketing tool for business to increase demand and create profits. Mooncake coupons are among the most popular coupons in China. However, such popularity has sparked heated debate nationwid...Issuing coupons is a common marketing tool for business to increase demand and create profits. Mooncake coupons are among the most popular coupons in China. However, such popularity has sparked heated debate nationwide. In this regard,the paper studies the phenomenon through game theory model that deals with the relationship between mooncake makers,as for their efforts in balancing the number of coupons issued and the amount of mooncakes actually produced,and scalpers,as for the repurchase discount they enjoy, to finally bring a win-win situation. For mooncake makers to print more coupons than their actual production capacities while keeping the risks under control,a prior agreement should be made with the scalpers to set certain rules,among which the variable k is particularly important.展开更多
The effect of the presence of Ni in solution as Ni-EDTA complex in lithiated water at roon temperature and pH 10.5 on the formation of ferrite coating on carbon steel surface was studie in an autoclave at 523 K for 12...The effect of the presence of Ni in solution as Ni-EDTA complex in lithiated water at roon temperature and pH 10.5 on the formation of ferrite coating on carbon steel surface was studie in an autoclave at 523 K for 12 days at different Ni concentrations with varying amounts of free EDTA. The Ni-ferrite coating was characterized by XRD, SIMS and XPS and also bulk chemical analysis by AAS and UV-visible spectrophotometer. The chemical composition of Ni-ferrite coating showed variation with depth acro5s solution-oxide interface to oxide-metal interface.The content of Ni in the oxide coating on the surface near solution-oxide intedece was found to be higher than the average Ni content estimated by analysis after descaling the coating展开更多
Commercially processed foods become contaminated with Listeria monocytogenes in post-processing environments where favorable conditions help the bacteria thrive. The US Food and Drug Administration has approved Lauric...Commercially processed foods become contaminated with Listeria monocytogenes in post-processing environments where favorable conditions help the bacteria thrive. The US Food and Drug Administration has approved Lauric arginate (LAE) as generally recognized as safe (GRAS) for certain food applications. This study evaluated the efficacy of Mirenat-N (LAE dissolved in food-grade propylene glycol) against L. monocytogenes on food contact surfaces. A three-strain cocktail of L. monocytogenes was used to inoculate 24 polished stainless steel coupons with three treatments, 100 ppm and 200 ppm solutions of LAE and water (control);two sub-treatments of high (6 log CFU/ml) and low (4 log CFU/ml) inoculum levels;and two contact times of 5 and 15 min. Attached bacteria were dislodged by vortexing coupons for 1 min with 20 g of 3-mm solid glass beads in 10 ml of 0.1% peptone diluent, and bacterial populations were calculated by plating onto modified oxford medium (MOX) and thin agar layer MOX (TALMOX). The 100 ppm treatment showed average reductions of 1.38 and 2.57 log CFU/coupon at the low inoculum level and 0.37 and 0.62 log CFU/coupon at high inoculum levels, after 5 and 15 min exposure, respectively. For 200 ppm at the high inoculum level, 1.23 and 1.88 log CFU/coupon reductions were seen for 5 and 15 min, respectively;the low inoculum level at 5 and 15 min exposure showed reductions of ≤1.5 log CFU/coupon. The 100 ppm LAE treatment was more effective at low inoculum levels for 5 and 15 min contact times and may be used to control low levels of contamination of L. monocytogenes on food contact surfaces.展开更多
Even though smart meters have been widely used in power systems around the world,many consumers are still finding it hard to participate in demand response(DR)due to flat-rate retail pricing policy.To address this iss...Even though smart meters have been widely used in power systems around the world,many consumers are still finding it hard to participate in demand response(DR)due to flat-rate retail pricing policy.To address this issue,this paper proposes a coupon-based demand response(CDR)scheme to achieve equivalent dynamic retail prices to inspire consumers’inherent elasticity.First,a security-constrained unit commitment optimization model is developed in the day-ahead market to obtain coupon rewards,which are then broadcast to consumers to motivate them to reschedule their power consumption behaviors.To evaluate the adjustment value of consumers’power consumption,a collective utility function is proposed to formulate the relationship between power quantity and coupon rewards.On this basis,the security-constrained economic dispatch model is developed in the intra-day market to reschedule generating units’output power according to real-time load demands and fluctuating renewable energies.After the operation interval,a settlement method is developed to quantify consumers’electricity fees and coupon benefits on a monthly basis.The proposed CDR scheme avoids real-time iterative bidding process and effectively decreases the difficulty of massive,small consumers participating in DR.The proposed CDR is implemented in a realistic DR project in China to verify consumers’energy cost and renewables’curtailment can both be decreased.展开更多
In this paper,we examine how a merchant should choose between discount promotion(offering a discount through an online third-party promotion platform)and coupon promotion(ssuing on-package coupons directly to consumer...In this paper,we examine how a merchant should choose between discount promotion(offering a discount through an online third-party promotion platform)and coupon promotion(ssuing on-package coupons directly to consumers).We develop a two-period model in which the merchant optimizes the promotion decision in the first period and does not promote in the second period.We identify two consumer segments:informed consumers who are aware of the merchant's offering at the beginning of the first period and know the true quality of the product,and uninformed consumers who are not aware of the merchant's offering at the beginning of the first period and underestimate the product quality.Moreover,the merchant has access only to informed consumers when adopting coupon promotion or when choosing not to promote,while the merchant can access both informed consumers and uninformed consumers when offering discount promotion.In this setting,we find that the merchant should offer discount promotion when the quality estimation of uninformed consumers is large and/or when the proportion of informed consumers is small;otherwise,the merchant should adopt coupon promotion when the effect of coupons in the first period is large and choose not to promote when the effect of coupons in the first period is small.展开更多
While coupons that can be redeemed only in online channels have been issued by e-commerce platforms for decades, a new type of platform’s coupons, i.e., omnichannel coupons, which can be redeemed in both online and s...While coupons that can be redeemed only in online channels have been issued by e-commerce platforms for decades, a new type of platform’s coupons, i.e., omnichannel coupons, which can be redeemed in both online and store channels, is gaining popularity with the rise of the omnichannel retail mode. It is interesting to explore the conditions under which omnichannel coupons are more advantageous to platforms and multichannel suppliers that sell products through platforms and physical stores. Two game models are developed in two cases where an e-commerce platform offers single channel coupons or omnichannel coupons for a multichannel supplier. Two scenarios are considered: one in which a consumer’s valuation of a product that fits his or her need is homogeneous and another in which the valuation is heterogeneous. Equilibrium outcomes show that under the homogeneous scenario, the product price and coupon face value in both coupon modes increase with the product’s fit probability when the cross-selling revenue is high, while decrease with the product’s fit probability when the cross-selling revenue is low. However, under the heterogeneous scenario, the price in both modes increases with the product’s fit probability only when the supplier’s loss from returns is low and the cross-selling revenue is high, and the coupon face value always decreases with the product’s fit probability. Compared with single channel coupons, omnichannel coupons may lead to a higher product price under certain conditions. Furthermore, omnichannel coupons can lead to higher total demand and benefit both the platform and the supplier if and only if the product’s fit probability is low and the supplier’s loss from returns is high. An extension shows that the platform’s preference for omnichannel coupons is weakened when the supplier offers a partial refund policy.展开更多
A collector samples coupons with replacement from a pool containing g uniform groups of coupons,where"uniform group"means that all coupons in the group are equally likely to occur(while coupons of different ...A collector samples coupons with replacement from a pool containing g uniform groups of coupons,where"uniform group"means that all coupons in the group are equally likely to occur(while coupons of different groups have different probabilities to occur).For each j=1,...,g,let Tj be the number of trials needed to detect Group j,namely to collect all Mj coupons belonging to it at least once.We first derive formulas for the probabilities P{T1<···<Tg}and P{T1=∧^gj=1Tj}.After that,without severe loss of generality,we restrict ourselves to the case g=2 and compute the asymptotics of P{T1<T2}as the number of coupons grows to infinity in a certain manner.Then,we focus on T:=T1∨T2,i.e.the number of trials needed to collect all coupons of the pool(at least once),and determine the asymptotics of E[T]and V[T],as well as the limiting distribution of T(appropriately normalized)as the number of coupons becomes large.展开更多
基金National Natural Science Foundation of China(No.71572110)
文摘Issuing coupons is a common marketing tool for business to increase demand and create profits. Mooncake coupons are among the most popular coupons in China. However, such popularity has sparked heated debate nationwide. In this regard,the paper studies the phenomenon through game theory model that deals with the relationship between mooncake makers,as for their efforts in balancing the number of coupons issued and the amount of mooncakes actually produced,and scalpers,as for the repurchase discount they enjoy, to finally bring a win-win situation. For mooncake makers to print more coupons than their actual production capacities while keeping the risks under control,a prior agreement should be made with the scalpers to set certain rules,among which the variable k is particularly important.
文摘The effect of the presence of Ni in solution as Ni-EDTA complex in lithiated water at roon temperature and pH 10.5 on the formation of ferrite coating on carbon steel surface was studie in an autoclave at 523 K for 12 days at different Ni concentrations with varying amounts of free EDTA. The Ni-ferrite coating was characterized by XRD, SIMS and XPS and also bulk chemical analysis by AAS and UV-visible spectrophotometer. The chemical composition of Ni-ferrite coating showed variation with depth acro5s solution-oxide interface to oxide-metal interface.The content of Ni in the oxide coating on the surface near solution-oxide intedece was found to be higher than the average Ni content estimated by analysis after descaling the coating
文摘Commercially processed foods become contaminated with Listeria monocytogenes in post-processing environments where favorable conditions help the bacteria thrive. The US Food and Drug Administration has approved Lauric arginate (LAE) as generally recognized as safe (GRAS) for certain food applications. This study evaluated the efficacy of Mirenat-N (LAE dissolved in food-grade propylene glycol) against L. monocytogenes on food contact surfaces. A three-strain cocktail of L. monocytogenes was used to inoculate 24 polished stainless steel coupons with three treatments, 100 ppm and 200 ppm solutions of LAE and water (control);two sub-treatments of high (6 log CFU/ml) and low (4 log CFU/ml) inoculum levels;and two contact times of 5 and 15 min. Attached bacteria were dislodged by vortexing coupons for 1 min with 20 g of 3-mm solid glass beads in 10 ml of 0.1% peptone diluent, and bacterial populations were calculated by plating onto modified oxford medium (MOX) and thin agar layer MOX (TALMOX). The 100 ppm treatment showed average reductions of 1.38 and 2.57 log CFU/coupon at the low inoculum level and 0.37 and 0.62 log CFU/coupon at high inoculum levels, after 5 and 15 min exposure, respectively. For 200 ppm at the high inoculum level, 1.23 and 1.88 log CFU/coupon reductions were seen for 5 and 15 min, respectively;the low inoculum level at 5 and 15 min exposure showed reductions of ≤1.5 log CFU/coupon. The 100 ppm LAE treatment was more effective at low inoculum levels for 5 and 15 min contact times and may be used to control low levels of contamination of L. monocytogenes on food contact surfaces.
基金supported in part by the National Science Foundation for Distinguished Young Scholars of China(under Grant 52125702).
文摘Even though smart meters have been widely used in power systems around the world,many consumers are still finding it hard to participate in demand response(DR)due to flat-rate retail pricing policy.To address this issue,this paper proposes a coupon-based demand response(CDR)scheme to achieve equivalent dynamic retail prices to inspire consumers’inherent elasticity.First,a security-constrained unit commitment optimization model is developed in the day-ahead market to obtain coupon rewards,which are then broadcast to consumers to motivate them to reschedule their power consumption behaviors.To evaluate the adjustment value of consumers’power consumption,a collective utility function is proposed to formulate the relationship between power quantity and coupon rewards.On this basis,the security-constrained economic dispatch model is developed in the intra-day market to reschedule generating units’output power according to real-time load demands and fluctuating renewable energies.After the operation interval,a settlement method is developed to quantify consumers’electricity fees and coupon benefits on a monthly basis.The proposed CDR scheme avoids real-time iterative bidding process and effectively decreases the difficulty of massive,small consumers participating in DR.The proposed CDR is implemented in a realistic DR project in China to verify consumers’energy cost and renewables’curtailment can both be decreased.
基金supported by the National Natural Science Foundation of China under Grant No.71771184 and partially sup-ported by the Key Project of Shaanxi Inter-national Science and Technology Cooperation through Grant No.2018KWZ-04Qiying Hu also acknowledges financial support from the National Science Foundation of China(NSFC)under Grant No.71671046.
文摘In this paper,we examine how a merchant should choose between discount promotion(offering a discount through an online third-party promotion platform)and coupon promotion(ssuing on-package coupons directly to consumers).We develop a two-period model in which the merchant optimizes the promotion decision in the first period and does not promote in the second period.We identify two consumer segments:informed consumers who are aware of the merchant's offering at the beginning of the first period and know the true quality of the product,and uninformed consumers who are not aware of the merchant's offering at the beginning of the first period and underestimate the product quality.Moreover,the merchant has access only to informed consumers when adopting coupon promotion or when choosing not to promote,while the merchant can access both informed consumers and uninformed consumers when offering discount promotion.In this setting,we find that the merchant should offer discount promotion when the quality estimation of uninformed consumers is large and/or when the proportion of informed consumers is small;otherwise,the merchant should adopt coupon promotion when the effect of coupons in the first period is large and choose not to promote when the effect of coupons in the first period is small.
基金supported by the National Social Science Foundation of China(NSSFC),under Grant No.18BGL265.
文摘While coupons that can be redeemed only in online channels have been issued by e-commerce platforms for decades, a new type of platform’s coupons, i.e., omnichannel coupons, which can be redeemed in both online and store channels, is gaining popularity with the rise of the omnichannel retail mode. It is interesting to explore the conditions under which omnichannel coupons are more advantageous to platforms and multichannel suppliers that sell products through platforms and physical stores. Two game models are developed in two cases where an e-commerce platform offers single channel coupons or omnichannel coupons for a multichannel supplier. Two scenarios are considered: one in which a consumer’s valuation of a product that fits his or her need is homogeneous and another in which the valuation is heterogeneous. Equilibrium outcomes show that under the homogeneous scenario, the product price and coupon face value in both coupon modes increase with the product’s fit probability when the cross-selling revenue is high, while decrease with the product’s fit probability when the cross-selling revenue is low. However, under the heterogeneous scenario, the price in both modes increases with the product’s fit probability only when the supplier’s loss from returns is low and the cross-selling revenue is high, and the coupon face value always decreases with the product’s fit probability. Compared with single channel coupons, omnichannel coupons may lead to a higher product price under certain conditions. Furthermore, omnichannel coupons can lead to higher total demand and benefit both the platform and the supplier if and only if the product’s fit probability is low and the supplier’s loss from returns is high. An extension shows that the platform’s preference for omnichannel coupons is weakened when the supplier offers a partial refund policy.
文摘A collector samples coupons with replacement from a pool containing g uniform groups of coupons,where"uniform group"means that all coupons in the group are equally likely to occur(while coupons of different groups have different probabilities to occur).For each j=1,...,g,let Tj be the number of trials needed to detect Group j,namely to collect all Mj coupons belonging to it at least once.We first derive formulas for the probabilities P{T1<···<Tg}and P{T1=∧^gj=1Tj}.After that,without severe loss of generality,we restrict ourselves to the case g=2 and compute the asymptotics of P{T1<T2}as the number of coupons grows to infinity in a certain manner.Then,we focus on T:=T1∨T2,i.e.the number of trials needed to collect all coupons of the pool(at least once),and determine the asymptotics of E[T]and V[T],as well as the limiting distribution of T(appropriately normalized)as the number of coupons becomes large.
