Pub Date : 2025-04-24DOI: 10.1016/j.matcom.2025.04.016
Ruyun Chen, Yu Li, Yongxiong Zhou
In this paper, numerical steepest descent method is implemented to approximate highly oscillatory Bessel-type integral transforms. We begin our analysis by utilizing an important relationship between Bessel function of the first kind and modified Bessel function of the second kind. Subsequently, we transform new integrals into the forms on the interval , where the integrands do not oscillate and decay exponentially fast. These integrals can then be efficiently computed using Gauss–Laguerre quadrature rule. Furthermore, we derive the theoretical error estimates that depend on the frequency and the number of nodes . Numerical examples based on the theoretical results are provided to demonstrate the effectiveness of these methods.
{"title":"Numerical steepest descent method for computing oscillatory-type Bessel integral transforms","authors":"Ruyun Chen, Yu Li, Yongxiong Zhou","doi":"10.1016/j.matcom.2025.04.016","DOIUrl":"10.1016/j.matcom.2025.04.016","url":null,"abstract":"<div><div>In this paper, numerical steepest descent method is implemented to approximate highly oscillatory Bessel-type integral transforms. We begin our analysis by utilizing an important relationship between Bessel function of the first kind and modified Bessel function of the second kind. Subsequently, we transform new integrals into the forms on the interval <span><math><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mo>+</mo><mi>∞</mi><mo>)</mo></mrow></math></span>, where the integrands do not oscillate and decay exponentially fast. These integrals can then be efficiently computed using Gauss–Laguerre quadrature rule. Furthermore, we derive the theoretical error estimates that depend on the frequency <span><math><mi>ω</mi></math></span> and the number of nodes <span><math><mi>n</mi></math></span>. Numerical examples based on the theoretical results are provided to demonstrate the effectiveness of these methods.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 320-333"},"PeriodicalIF":4.4,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874477","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-04-22DOI: 10.1016/j.matcom.2025.04.006
Shidong Zhai , Zhenmei Zhang , Jun Ma
This paper investigates the intricate interplay between individual opinions and bi-virus transmission in a city or country. The proposed model considers two competing viruses, where virus transmission is shaped by individuals’ perceptions of the epidemic, which are, in turn, influenced by the transmission dynamics. Building on the concept of an opinion-dependent reproduction number, we conduct a rigorous theoretical analysis of the proposed model, focusing on equilibrium stability and parameter sensitivity. From the analysis of simulated data, we derive the following insights: (1) Negative opinions during an epidemic, such as believing the epidemic is not severe or distrusting public health measures, may result in inaccurate community responses and potentially reignite outbreaks. (2) In the bi-virus-opinion model, while perceived epidemic severity can reduce infection rates, it does not alter the dominance of the prevailing virus under conditions of high epidemic severity. Furthermore, we examine the role of stubborn opinions to reshape public perception, which can facilitate epidemic eradication under mild epidemic conditions. In the case of dual-virus competition, stubborn opinions can alter the final competitive outcomes. Finally, numerical simulations are performed to validate the findings and corroborate them with real-world data from the SARS-CoV-2 pandemic.
{"title":"Convergence of individual opinions during a bi-virus epidemic and its impact","authors":"Shidong Zhai , Zhenmei Zhang , Jun Ma","doi":"10.1016/j.matcom.2025.04.006","DOIUrl":"10.1016/j.matcom.2025.04.006","url":null,"abstract":"<div><div>This paper investigates the intricate interplay between individual opinions and bi-virus transmission in a city or country. The proposed model considers two competing viruses, where virus transmission is shaped by individuals’ perceptions of the epidemic, which are, in turn, influenced by the transmission dynamics. Building on the concept of an opinion-dependent reproduction number, we conduct a rigorous theoretical analysis of the proposed model, focusing on equilibrium stability and parameter sensitivity. From the analysis of simulated data, we derive the following insights: (1) Negative opinions during an epidemic, such as believing the epidemic is not severe or distrusting public health measures, may result in inaccurate community responses and potentially reignite outbreaks. (2) In the bi-virus-opinion model, while perceived epidemic severity can reduce infection rates, it does not alter the dominance of the prevailing virus under conditions of high epidemic severity. Furthermore, we examine the role of stubborn opinions to reshape public perception, which can facilitate epidemic eradication under mild epidemic conditions. In the case of dual-virus competition, stubborn opinions can alter the final competitive outcomes. Finally, numerical simulations are performed to validate the findings and corroborate them with real-world data from the SARS-CoV-2 pandemic.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 334-353"},"PeriodicalIF":4.4,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-04-20DOI: 10.1016/j.matcom.2025.04.018
Xiaofei Qin , Hongjun Li , Changnv Zeng
An efficient time-domain boundary element method (TD-BEM) is originally proposed for dynamic analysis of layered elastic medium using the innovative iteration technique in the whole time domain. Based on the iteration technique, the layered elastic domain is divided into several TD-BEM sub-domains with constant material properties, which are computed separately across the whole time domain, without the requirement of iterative calculations and convergence judgment for each individual time step. Meanwhile, the connection between TD-BEM sub-domains is performed by enforcing the interfacial continuity of the field variables. In addition to achieving exceptional computational accuracy and efficiency, the independent spatial and temporal discretizations are allowed for each TD-BEM sub-domain in modeling the layered elastic medium to further improve the versatility and flexibility of the current TD-BEM. The excellent performance of the presented TD-BEM formulation for layered elastic medium is verified by several numerical applications.
{"title":"Dynamic analysis of layered elastic medium by TD-BEM using the iteration technique in the whole time domain","authors":"Xiaofei Qin , Hongjun Li , Changnv Zeng","doi":"10.1016/j.matcom.2025.04.018","DOIUrl":"10.1016/j.matcom.2025.04.018","url":null,"abstract":"<div><div>An efficient time-domain boundary element method (TD-BEM) is originally proposed for dynamic analysis of layered elastic medium using the innovative iteration technique in the whole time domain. Based on the iteration technique, the layered elastic domain is divided into several TD-BEM sub-domains with constant material properties, which are computed separately across the whole time domain, without the requirement of iterative calculations and convergence judgment for each individual time step. Meanwhile, the connection between TD-BEM sub-domains is performed by enforcing the interfacial continuity of the field variables. In addition to achieving exceptional computational accuracy and efficiency, the independent spatial and temporal discretizations are allowed for each TD-BEM sub-domain in modeling the layered elastic medium to further improve the versatility and flexibility of the current TD-BEM. The excellent performance of the presented TD-BEM formulation for layered elastic medium is verified by several numerical applications.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 284-304"},"PeriodicalIF":4.4,"publicationDate":"2025-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143869490","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-04-19DOI: 10.1016/j.matcom.2025.04.005
Qiang Lai , Chongkun Zhu , Minghong Qin , Zhiqiang Wan
Unlike high-dimensional hyperchaotic maps constructed using continuous memristors (CMs), discrete memristors (DMs) are widely favored by researchers because of their unique advantages. In view of this, a novel memristive hyperchaotic map by applying a sinusoidal transformation to one DM and paralleling it with another, while introducing the simple oscillatory term has been proposed. This map exhibits significant structural characteristics, particularly without fixed points. Numerical simulations reveal the dynamical behaviors that dependent on control parameters and the presence of infinite hidden coexisting attractors related to initial values. Furthermore, the map has been successfully applied in the design of a pseudorandom number generator (PRNG). A microcontroller-based digital hardware platform has also been developed to implement this map. Lastly, the application of the map in image encryption provides valuable insights into the use of discrete memristive maps in chaos engineering.
{"title":"Complex dynamics and encryption application of a 3D dual-memristor oscillatory hyperchaotic map","authors":"Qiang Lai , Chongkun Zhu , Minghong Qin , Zhiqiang Wan","doi":"10.1016/j.matcom.2025.04.005","DOIUrl":"10.1016/j.matcom.2025.04.005","url":null,"abstract":"<div><div>Unlike high-dimensional hyperchaotic maps constructed using continuous memristors (CMs), discrete memristors (DMs) are widely favored by researchers because of their unique advantages. In view of this, a novel memristive hyperchaotic map by applying a sinusoidal transformation to one DM and paralleling it with another, while introducing the simple oscillatory term has been proposed. This map exhibits significant structural characteristics, particularly without fixed points. Numerical simulations reveal the dynamical behaviors that dependent on control parameters and the presence of infinite hidden coexisting attractors related to initial values. Furthermore, the map has been successfully applied in the design of a pseudorandom number generator (PRNG). A microcontroller-based digital hardware platform has also been developed to implement this map. Lastly, the application of the map in image encryption provides valuable insights into the use of discrete memristive maps in chaos engineering.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 270-283"},"PeriodicalIF":4.4,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143864957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-04-17DOI: 10.1016/j.matcom.2025.04.002
Anindya Goswami , Kuldip Singh Patel
This paper examines a multidimensional system of parabolic partial differential equations arising in European option pricing within a Markov-switching market model. To solve this numerically, the domain must be truncated, and artificial boundary conditions should be imposed. By deriving an estimate for the domain truncation error at all points in the truncated domain, we generalize existing results that address option pricing equations solely under no-switching scenarios. Unlike previous approaches, our method provides a sharper error estimate in specific regions of the domain. Combining the proposed estimate with the existing one yields a strictly improved result. Numerical examples are presented to provide a thorough comparison with the existing literature.
{"title":"Domain truncation error analysis for a multidimensional system of PDEs of option prices","authors":"Anindya Goswami , Kuldip Singh Patel","doi":"10.1016/j.matcom.2025.04.002","DOIUrl":"10.1016/j.matcom.2025.04.002","url":null,"abstract":"<div><div>This paper examines a multidimensional system of parabolic partial differential equations arising in European option pricing within a Markov-switching market model. To solve this numerically, the domain must be truncated, and artificial boundary conditions should be imposed. By deriving an estimate for the domain truncation error at all points in the truncated domain, we generalize existing results that address option pricing equations solely under no-switching scenarios. Unlike previous approaches, our method provides a sharper error estimate in specific regions of the domain. Combining the proposed estimate with the existing one yields a strictly improved result. Numerical examples are presented to provide a thorough comparison with the existing literature.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 354-378"},"PeriodicalIF":4.4,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143877341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-04-17DOI: 10.1016/j.matcom.2025.04.015
Jiayi Liu, Ruihong Li, Dongmei Huang
In this paper, a new incommensurate fractional-order ecological system describing the interaction between permafrost melting, vegetation degradation and temperature is introduced to explore its dynamical behavior. At first, the existence and uniqueness of the new system is proved utilizing Picard’s operator and Banach fixed-point theorem. Next, the influence of simultaneous changing system parameter and fractional orders on the stability of the incommensurate system is discussed, and the degree of influence of each fractional order is visually compared and analyzed. In addition, it is also indicated that parameter changes can cause the static bifurcation. Subsequently, the sufficient conditions and an analytical expression for the critical value of Hopf bifurcation caused by system parameter in the incommensurate fractional-order ecological system are provided for the first time, and the bifurcation diagrams are utilized to verify the result. Furthermore, by observing the bifurcation diagram of incommensurate and corresponding commensurate system, it can be deduced that changes in the fractional orders of incommensurate system can cause Hopf bifurcation to be postponed or advanced. Then, the chaotic behaviors of commensurate and incommensurate system are explored by utilizing multiple numerical indicators. It is worth noting that there exists a path from quasi-periodic motion to chaos in the system. Finally, the chaotic domain is proposed to investigate the influence of fractional orders and parameter on chaotic behaviors in the incommensurate fractional-order system.
{"title":"Stability, bifurcation and characteristics of chaos in a new commensurate and incommensurate fractional-order ecological system","authors":"Jiayi Liu, Ruihong Li, Dongmei Huang","doi":"10.1016/j.matcom.2025.04.015","DOIUrl":"10.1016/j.matcom.2025.04.015","url":null,"abstract":"<div><div>In this paper, a new incommensurate fractional-order ecological system describing the interaction between permafrost melting, vegetation degradation and temperature is introduced to explore its dynamical behavior. At first, the existence and uniqueness of the new system is proved utilizing Picard’s operator and Banach fixed-point theorem. Next, the influence of simultaneous changing system parameter and fractional orders on the stability of the incommensurate system is discussed, and the degree of influence of each fractional order is visually compared and analyzed. In addition, it is also indicated that parameter changes can cause the static bifurcation. Subsequently, the sufficient conditions and an analytical expression for the critical value of Hopf bifurcation caused by system parameter in the incommensurate fractional-order ecological system are provided for the first time, and the bifurcation diagrams are utilized to verify the result. Furthermore, by observing the bifurcation diagram of incommensurate and corresponding commensurate system, it can be deduced that changes in the fractional orders of incommensurate system can cause Hopf bifurcation to be postponed or advanced. Then, the chaotic behaviors of commensurate and incommensurate system are explored by utilizing multiple numerical indicators. It is worth noting that there exists a path from quasi-periodic motion to chaos in the system. Finally, the chaotic domain is proposed to investigate the influence of fractional orders and parameter on chaotic behaviors in the incommensurate fractional-order system.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 248-269"},"PeriodicalIF":4.4,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143864956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-04-13DOI: 10.1016/j.matcom.2025.03.032
Salih Djilali , Yuming Chen , Shaofen Zou
This research studies a spatiotemporal SIS epidemic model that incorporates both long-range and small-range mobilities to represent the two distinct diffusion strategies, local and nonlocal. The nonlocal dispersion operator is used to capture the long-range mobility of the susceptible, which can diffuse freely through the studied domain. The random diffusion is employed to account for the limitations imposed on the movement of the infected, which are allowed to disperse locally in the neighborhood of the original point. We also assume that the studied space is heterogeneous, which means that all parameters are assumed to be space-dependent. This poses significant challenges to the stability analysis for the steady states as well as the discussion on the existence of endemic steady states, and studying the asymptotic profiles of endemic steady states. The analysis is conducted in terms of the basic reproduction number, which serves as a threshold parameter. We also investigate the asymptotic profiles of endemic steady states when dispersal rates tend to zero or infinity. The findings have implications for disease modeling and control due to insights into the effects of different mechanisms of mobility on epidemic dynamics and provide useful information on the efficiency of mobility control in containing the epidemic.
{"title":"A diffusive SIS epidemic model in a heterogeneous environment: Random dispersion vs. nonlocal dispersion","authors":"Salih Djilali , Yuming Chen , Shaofen Zou","doi":"10.1016/j.matcom.2025.03.032","DOIUrl":"10.1016/j.matcom.2025.03.032","url":null,"abstract":"<div><div>This research studies a spatiotemporal SIS epidemic model that incorporates both long-range and small-range mobilities to represent the two distinct diffusion strategies, local and nonlocal. The nonlocal dispersion operator is used to capture the long-range mobility of the susceptible, which can diffuse freely through the studied domain. The random diffusion is employed to account for the limitations imposed on the movement of the infected, which are allowed to disperse locally in the neighborhood of the original point. We also assume that the studied space is heterogeneous, which means that all parameters are assumed to be space-dependent. This poses significant challenges to the stability analysis for the steady states as well as the discussion on the existence of endemic steady states, and studying the asymptotic profiles of endemic steady states. The analysis is conducted in terms of the basic reproduction number, which serves as a threshold parameter. We also investigate the asymptotic profiles of endemic steady states when dispersal rates tend to zero or infinity. The findings have implications for disease modeling and control due to insights into the effects of different mechanisms of mobility on epidemic dynamics and provide useful information on the efficiency of mobility control in containing the epidemic.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 90-110"},"PeriodicalIF":4.4,"publicationDate":"2025-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143833595","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-04-11DOI: 10.1016/j.matcom.2025.04.010
Hidekazu Yoshioka
The pairwise comparison dynamic is a forward ordinary differential equation in a Banach space whose solution is a time-dependent probability measure to maximize utility based on a nonlinear and nonlocal protocol. It contains a wide class of evolutionary game models, such as replicator dynamics and its generalization. We present an inverse control approach to obtain a replicator-type pairwise comparison dynamic from the large discount limit of a mean field game (MFG) as a coupled forward-backward system. This methodology provides a new interpretation of replicator-type dynamics as a myopic perception limit of the dynamic programming. The cost function in the MFG is explicitly obtained to derive the generalized replicator dynamics. We present a finite difference method to compute these models such that the conservation and nonnegativity of the probability density and bounds of the value function can be numerically satisfied. We conduct a computational convergence study of a large discount limit, focusing on potential games and an energy management problem under several conditions.
{"title":"Generalized replicator dynamics based on mean-field pairwise comparison dynamic","authors":"Hidekazu Yoshioka","doi":"10.1016/j.matcom.2025.04.010","DOIUrl":"10.1016/j.matcom.2025.04.010","url":null,"abstract":"<div><div>The pairwise comparison dynamic is a forward ordinary differential equation in a Banach space whose solution is a time-dependent probability measure to maximize utility based on a nonlinear and nonlocal protocol. It contains a wide class of evolutionary game models, such as replicator dynamics and its generalization. We present an inverse control approach to obtain a replicator-type pairwise comparison dynamic from the large discount limit of a mean field game (MFG) as a coupled forward-backward system. This methodology provides a new interpretation of replicator-type dynamics as a myopic perception limit of the dynamic programming. The cost function in the MFG is explicitly obtained to derive the generalized replicator dynamics. We present a finite difference method to compute these models such that the conservation and nonnegativity of the probability density and bounds of the value function can be numerically satisfied. We conduct a computational convergence study of a large discount limit, focusing on potential games and an energy management problem under several conditions.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 200-220"},"PeriodicalIF":4.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143843263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-04-10DOI: 10.1016/j.matcom.2025.04.007
Rajan Mondal , Amalesh Kumar Manna , Md Akhtar , Asoke Kumar Bhunia
Repeated advertisements of an item in different media, displayed stock in a decorated showroom, and also price break policies play a vital role in an inventory control system. Also, the relationship between products’ selling price and market demand is conflicting when all other factors are fixed. Thus, the incorporation of advertisement policy and price break facility in a business is more realistic. This work investigates an inventory problem for non-instantaneous deteriorating items with advertisement and displayed inventory level dependent demand under price break facility. Moreover, partially backlogged shortages and transportation cost for replenishing items are considered in the proposed inventory model. Based on the customer’s demand and storage space of the shop, several cases and sub-cases are considered. In this study, different metaheuristic algorithms are considered for maximizing the average profit in each scenario. Then, considering one numerical example, the proposed model is justified. Finally, the sensitivity analysis is carried out to investigate the impact of model parameters on the policy of optimality and a fruitful conclusion is drawn.
{"title":"Optimization of a price break policy and advertisement effort based non-instantaneous deteriorating inventory problem with partial backlogged via metaheuristic algorithms","authors":"Rajan Mondal , Amalesh Kumar Manna , Md Akhtar , Asoke Kumar Bhunia","doi":"10.1016/j.matcom.2025.04.007","DOIUrl":"10.1016/j.matcom.2025.04.007","url":null,"abstract":"<div><div>Repeated advertisements of an item in different media, displayed stock in a decorated showroom, and also price break policies play a vital role in an inventory control system. Also, the relationship between products’ selling price and market demand is conflicting when all other factors are fixed. Thus, the incorporation of advertisement policy and price break facility in a business is more realistic. This work investigates an inventory problem for non-instantaneous deteriorating items with advertisement and displayed inventory level dependent demand under price break facility. Moreover, partially backlogged shortages and transportation cost for replenishing items are considered in the proposed inventory model. Based on the customer’s demand and storage space of the shop, several cases and sub-cases are considered. In this study, different metaheuristic algorithms are considered for maximizing the average profit in each scenario. Then, considering one numerical example, the proposed model is justified. Finally, the sensitivity analysis is carried out to investigate the impact of model parameters on the policy of optimality and a fruitful conclusion is drawn.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 221-247"},"PeriodicalIF":4.4,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143851395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-04-10DOI: 10.1016/j.matcom.2025.04.001
Jiayi Xie , Zhimin Zhang , Zhenyu Cui
In this paper, we introduce an efficient valuation method for variable annuities (VAs) with guaranteed minimum death benefits (GMDBs), where the benefits depend on the combined survival status of two lives, such as for a married couple. We assume a general exponential Lévy process for the risky asset price and propose an innovative combination of bivariate Laguerre series expansions with the projection (PROJ) method for valuing joint life VAs. We derive explicit approximation formulas for three types of GMDB riders. Numerical examples demonstrate that the proposed method is both highly accurate and computationally efficient.
{"title":"Efficient valuation of joint life variable annuities with guaranteed minimum death benefits","authors":"Jiayi Xie , Zhimin Zhang , Zhenyu Cui","doi":"10.1016/j.matcom.2025.04.001","DOIUrl":"10.1016/j.matcom.2025.04.001","url":null,"abstract":"<div><div>In this paper, we introduce an efficient valuation method for variable annuities (VAs) with guaranteed minimum death benefits (GMDBs), where the benefits depend on the combined survival status of two lives, such as for a married couple. We assume a general exponential Lévy process for the risky asset price and propose an innovative combination of bivariate Laguerre series expansions with the projection (PROJ) method for valuing joint life VAs. We derive explicit approximation formulas for three types of GMDB riders. Numerical examples demonstrate that the proposed method is both highly accurate and computationally efficient.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"236 ","pages":"Pages 135-153"},"PeriodicalIF":4.4,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143833506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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