Tripti Chakrabarti - Academia.edu (original) (raw)

Papers by Tripti Chakrabarti

Research paper thumbnail of Fuzzy Inventory Model for Deteriorating Items in a Supply Chain System with Time Dependent Demand Rate

International journal of engineering applied science and technology, May 31, 2020

An inventory model for a single deteriorating item under fuzzy environment has been presented in ... more An inventory model for a single deteriorating item under fuzzy environment has been presented in this paper. Here demand rate is considered to be constant for some time period, post which the same is a linear function of time. This situation is common during the time of a new product launch in the market. As the product becomes popular, its demand increases with time although it remains constant during the initial days. Cycle time is considered to be constant in most of the models. However, practically it has been observed that it is difficult to pro-actively predict the cycle time. Because of this problem, cycle time has been considered as uncertain and has been further described as Symmetric Triangular Fuzzy number. The Signed Distance method has been used for defuzzification of the total cost function. For illustration of the process for finding the total optimal cost and the cycle time, numerical examples have been considered. The effects of changing parameter values on the optimal solution of the system have been demonstrated through Sensitivity Analysis.

Research paper thumbnail of An EPQ Model with Weibull Distribution Deterioration and Exponential Demand under Permissible Delay in Payments

Book Publisher International (a part of SCIENCEDOMAIN International), Feb 11, 2022

Research paper thumbnail of An Epq Model Having Weibull Distribution Deterioration With Exponential Demand and Production With Shortages Under Permissible Delay In Payments

Mathematical theory and modeling, 2013

In the fundamental production inventory model, in order to solve the economic production quantity... more In the fundamental production inventory model, in order to solve the economic production quantity (EPQ) we always fix both the demand quantity and the production quantity per day. But, in the real situation, production is usually dependend on demand. This paper derives a production model for the lot-size inventory system with finite production rate, taking into consideration the effect of decay and the condition of permissible delay in payments. Usually no interest is charged if the outstanding amount is settled within the permitted fixed settlement period. Therefore, it makes economic sense for the customer to delay the settlement of the replenishment account up to the last moment of the permissible period allowed by the supplier. In this model shortages are permitted and fully backordered. The purpose of this paper is to investigate a computing schema for the EPQ. The model is illustrated with a numerical example.

Research paper thumbnail of A Multi-Storehouse Supply Chain Considering Systems’ Reliability and Free Shipping

DOAJ (DOAJ: Directory of Open Access Journals), Sep 1, 2021

Research paper thumbnail of Fuzzy Inventory Model for Deteriorating Items in a Supply Chain System with Time Dependent Demand Rate

Inventory Optimization, 2021

Research paper thumbnail of A Cloud Fuzzy Production Inventory Model of Preservation Technology Affected Deteriorating Items with Stock and Demand Sensitive Production Rate

Lecture notes in networks and systems, 2023

Research paper thumbnail of Impact of Carbon Emission Policies on an Imperfect EOQ Model Under Cloud Fuzzy Environment

Research paper thumbnail of Barrier Probability in a Renewal Risk Model: Some Analytical Results in the Actuarial Perspective

Social Science Research Network, 2017

Research paper thumbnail of On the Application of Bayesian Credibility Theory to Achieve more Accurate Movie Rankings

International journal of banking, risk and insurance, Sep 1, 2016

Credibility theory is a branch of actuarial science devoted to quantify how unique a particular o... more Credibility theory is a branch of actuarial science devoted to quantify how unique a particular outcome will be when compared to an outcome deemed as typical. In this paper, we will examine the application of the principles of Bayesian credibility theory in rating and ranking movies by a premier online movie database which is based on user's votes. Although the Bayesian credibility theory was developed originally as a method to calculate the risk premium by combining the individual risk experience with the class risk experience, it is generic enough to deal with a wide range of practical applications quite different from the classical application mentioned above. One such diverse application of the theory in an unlikely domain will be discussed in this paper.

Research paper thumbnail of A Marketing-Oriented Production Inventory Model under Hybrid Carbon Policy with Carbon Emission Origin-Based Green Investments

International Journal of Mathematics in Operational Research, 2023

Research paper thumbnail of Impact of Carbon Emission Policies on a Production Inventory Model with Stock and Demand Dependent Production Rate and Preservation Technology Related Deterioration

International Journal of Mathematics in Operational Research, 2023

Research paper thumbnail of A Fuzzy Inventory Model for Deteriorating Items with Linear Price Dependent Demand in a Supply Chain

International journal of fuzzy mathematical archive, 2017

Research paper thumbnail of An EPQ Model of Exponential Deterioration With Fuzzy Demand and Production With Shortages

International Journal of Industrial Engineering & Production Research, 2013

In the fundamental production inventory model, in order to solve the economic production quantity... more In the fundamental production inventory model, in order to solve the economic production quantity (EPQ) we always fix both the demand quantity and the production quantity per day. But, in the real situation, both of them probably will have little disturbances every day. Therefore, we should fuzzify both of them to solve the economic production quantity (q*) per cycle. Using α-cut for defuzzification the total variable cost per unit time is derived. Therefore the problem is reduced to crisp annual costs. The multi-objective model is solved by Global Criteria Method with the help of GRG (Generalized Reduced Gradient) Technique. In this model shortages are permitted and fully backordered. The purpose of this paper is to investigate a computing schema for the EPQ in the fuzzy sense. We find that, after defuzzification, the total cost in fuzzy model is less than in the crisp model. So it permits better use of the EPQ model in the fuzzy sense arising with little disturbances in the produc...

Research paper thumbnail of An order level inventory model under two level storage system with fuzzy demand

Yugoslav Journal of Operations Research, 2013

Research paper thumbnail of An EOQ model for deteriorating items with a linear trend in demand and shortages in all cycles

International Journal of Production Economics, May 1, 1997

Research paper thumbnail of An integrated multi-stage supply chain inventory model with imperfect production process

International Journal of Industrial Engineering Computations, 2015

This paper deals with an integrated multi-stage supply chain inventory model with the objective o... more This paper deals with an integrated multi-stage supply chain inventory model with the objective of cost minimization by synchronizing the replenishment decisions for procurement, production and delivery activities. The supply chain structure examined here consists of a single manufacturer with multi-buyer where manufacturer orders a fixed quantity of raw material from outside suppliers, processes the materials and delivers the finished products in unequal shipments to each customer. In this paper, we consider an imperfect production system, which produces defective items randomly and assumes that all defective items could be reworked. A simple algorithm is developed to obtain an optimal production policy, which minimizes the expected average total cost of the integrated production-inventory system.

Research paper thumbnail of Movie Rankings and Greatest Accuracy Credibility Theory: An Alternate Modeling Approach

Social Science Research Network, Jun 11, 2018

(ProQuest: ... denotes formulae omitted.)IntroductionCredibility theory is basically a set of qua... more (ProQuest: ... denotes formulae omitted.)IntroductionCredibility theory is basically a set of quantitative tools, policies and procedures which allows an insurer to adjust future premiums based on past experience on a particular risk or group of risks. Credibility theory ultimately relies on the combination of experience estimates from historical data as well as base estimates in order to develop formulas. The formulas are used to replicate past experiences, and are then tested against actual data.Credibility theory has been used over a considerable period of time in one form or another mainly in different areas of the insurance industry. Areas such as property, casualty accident and health have benefitted from using credibility theory because claims occur at a relatively high rate and the pricing horizon is relatively short. This provides sufficient recent experience to use for future expectations.There are three basic approaches to credibility theory: classical credibility (also known as limited fluctuation credibility), Buhlmann credibility (also known as greatest accuracy credibility) and Bayesian credibility. Of these, Buhlmann credibility has a statistical modelbased approach and is more theoretically sound and robust. Due to these advantages of Buhlmann credibility over other approaches, we will apply it to the movie ranking problem in this study contrary to the previous studies of Das and Chakrabarti (2016) that had approached the same problem by applying the principles of Bayesian credibility theory.Greatest accuracy credibility or Buhlmann credibility attempts to produce linear estimates which will minimize the estimate and the quantity being estimated. Instead of concentrating on the stability of the experience, this theory focuses on the homogeneity of the estimate within the portfolio. However, it is assumed in this model that past experiences are independent and identically distributed components with respect to each year. Although this assumption makes the model simple, it is impractical as it does not allow for variations in exposure or size. These variations are dealt with in the Buhlmann-Straub model.Traditionally any form of the theory of credibility was applied by actuaries and insurers as a method to calculate the future risk premium by combining the individual risk experience with the class risk experience. Hence, its application was confined to a large extent in the insurance industry domain only. However, recent researches have justified the fact that the application of the theory can be diversified and extended to other unlikely domain as well. One such diverse and interesting application is its usage in ranking movies. The primary aim is to apply credibility theory to achieve more accurate and reliable movie rankings based on user's votes. The goal is to eventually help investors to reduce uncertainty about their decision to finance (or not) a new motion picture. Since user's votes comprise a dynamic subset of the whole population of movie goers, the movie rating problem focuses on the homogeneity of the voting group. Hence the appropriateness of the application of greatest accuracy credibility theory in movie ranking problem is ascertained. Further, in our study, we will justify the statistical robustness of credibility theory as an efficient method to rank movies as claimed in the previous studies concerning the same topic.The paper is organized as follows: a review of the related literature on greatest accuracy credibility theory is followed by justification of the present study and objectives. Subsequently we will apply Buhlmann modeling and Buhlmann-Straub modeling to movie ranking problem. Numerical calculations are followed by interpretation of the same to justify the suitability and effectiveness of Buhlmann-Straub modeling over Buhlmann modeling to achieve more accurate movie rankings. Finally, the conclusion is presented along with the scope for further research. …

Research paper thumbnail of Application of Bayesian Credibility Theory in Movie Rankings to Reduce Financial Risk of Production Houses

Parikalpana : KIIT journal of management, Dec 1, 2016

Credibility theory is a branch of actuarial science devoted to quantify how unique a particular o... more Credibility theory is a branch of actuarial science devoted to quantify how unique a particular outcome will be compared to an outcome deemed as typical. In this paper, we will examine the application of the principles of Bayesian Credibility Theory in rating and ranking movies by a premier online movie database based on user's votes. Although the Bayesian credibility theory was developed originally as a method to calculate the risk premium by combining the individual risk experience with the class risk experience, it is generic enough to deal with a wide range of practical applications quite different from the classical application mentioned above. One such diverse application of the theory in an unlikely domain will be discussed in this paper.

Research paper thumbnail of Two-echelon Supply Chain Model for Deteriorating Items in an Imperfect Production System with Advertisement and Stock Dependent Demand under Trade Credit

International Journal of Supply and Operations Management, Aug 1, 2018

This article presents a two-echelon supply chain model for deteriorating items, consisting of a s... more This article presents a two-echelon supply chain model for deteriorating items, consisting of a single manufacturer and a single retailer, where the customer's demand to the retailer depends on advertisement and the displayed stock level of the retailer. Due to the imperfect production system, the manufacturer produces a certain quantity of defective items with the perfect products. The manufacturer inspects all the products immediately after production and sells the ideal quality items to the retailer. To entice the retailer to purchase more products, the manufacturer offers the retailer a trade-credit policy so that the retailer can get a chance to settle his account before the payment for the products. We have developed a cost function of this model. Numerical examples have been presented to clarify the applicability of this model and the sensitivity analysis with respect to different parameters involved with the model has been performed to study the effect of the parameter change on the decision variables.

Research paper thumbnail of An EPQ Model for Imperfect Production System with Deteriorating Items, Price-Dependent Demand, Rework and Lead Time Under Markdown Policy

Inventory Optimization, 2022

Research paper thumbnail of Fuzzy Inventory Model for Deteriorating Items in a Supply Chain System with Time Dependent Demand Rate

International journal of engineering applied science and technology, May 31, 2020

An inventory model for a single deteriorating item under fuzzy environment has been presented in ... more An inventory model for a single deteriorating item under fuzzy environment has been presented in this paper. Here demand rate is considered to be constant for some time period, post which the same is a linear function of time. This situation is common during the time of a new product launch in the market. As the product becomes popular, its demand increases with time although it remains constant during the initial days. Cycle time is considered to be constant in most of the models. However, practically it has been observed that it is difficult to pro-actively predict the cycle time. Because of this problem, cycle time has been considered as uncertain and has been further described as Symmetric Triangular Fuzzy number. The Signed Distance method has been used for defuzzification of the total cost function. For illustration of the process for finding the total optimal cost and the cycle time, numerical examples have been considered. The effects of changing parameter values on the optimal solution of the system have been demonstrated through Sensitivity Analysis.

Research paper thumbnail of An EPQ Model with Weibull Distribution Deterioration and Exponential Demand under Permissible Delay in Payments

Book Publisher International (a part of SCIENCEDOMAIN International), Feb 11, 2022

Research paper thumbnail of An Epq Model Having Weibull Distribution Deterioration With Exponential Demand and Production With Shortages Under Permissible Delay In Payments

Mathematical theory and modeling, 2013

In the fundamental production inventory model, in order to solve the economic production quantity... more In the fundamental production inventory model, in order to solve the economic production quantity (EPQ) we always fix both the demand quantity and the production quantity per day. But, in the real situation, production is usually dependend on demand. This paper derives a production model for the lot-size inventory system with finite production rate, taking into consideration the effect of decay and the condition of permissible delay in payments. Usually no interest is charged if the outstanding amount is settled within the permitted fixed settlement period. Therefore, it makes economic sense for the customer to delay the settlement of the replenishment account up to the last moment of the permissible period allowed by the supplier. In this model shortages are permitted and fully backordered. The purpose of this paper is to investigate a computing schema for the EPQ. The model is illustrated with a numerical example.

Research paper thumbnail of A Multi-Storehouse Supply Chain Considering Systems’ Reliability and Free Shipping

DOAJ (DOAJ: Directory of Open Access Journals), Sep 1, 2021

Research paper thumbnail of Fuzzy Inventory Model for Deteriorating Items in a Supply Chain System with Time Dependent Demand Rate

Inventory Optimization, 2021

Research paper thumbnail of A Cloud Fuzzy Production Inventory Model of Preservation Technology Affected Deteriorating Items with Stock and Demand Sensitive Production Rate

Lecture notes in networks and systems, 2023

Research paper thumbnail of Impact of Carbon Emission Policies on an Imperfect EOQ Model Under Cloud Fuzzy Environment

Research paper thumbnail of Barrier Probability in a Renewal Risk Model: Some Analytical Results in the Actuarial Perspective

Social Science Research Network, 2017

Research paper thumbnail of On the Application of Bayesian Credibility Theory to Achieve more Accurate Movie Rankings

International journal of banking, risk and insurance, Sep 1, 2016

Credibility theory is a branch of actuarial science devoted to quantify how unique a particular o... more Credibility theory is a branch of actuarial science devoted to quantify how unique a particular outcome will be when compared to an outcome deemed as typical. In this paper, we will examine the application of the principles of Bayesian credibility theory in rating and ranking movies by a premier online movie database which is based on user's votes. Although the Bayesian credibility theory was developed originally as a method to calculate the risk premium by combining the individual risk experience with the class risk experience, it is generic enough to deal with a wide range of practical applications quite different from the classical application mentioned above. One such diverse application of the theory in an unlikely domain will be discussed in this paper.

Research paper thumbnail of A Marketing-Oriented Production Inventory Model under Hybrid Carbon Policy with Carbon Emission Origin-Based Green Investments

International Journal of Mathematics in Operational Research, 2023

Research paper thumbnail of Impact of Carbon Emission Policies on a Production Inventory Model with Stock and Demand Dependent Production Rate and Preservation Technology Related Deterioration

International Journal of Mathematics in Operational Research, 2023

Research paper thumbnail of A Fuzzy Inventory Model for Deteriorating Items with Linear Price Dependent Demand in a Supply Chain

International journal of fuzzy mathematical archive, 2017

Research paper thumbnail of An EPQ Model of Exponential Deterioration With Fuzzy Demand and Production With Shortages

International Journal of Industrial Engineering & Production Research, 2013

In the fundamental production inventory model, in order to solve the economic production quantity... more In the fundamental production inventory model, in order to solve the economic production quantity (EPQ) we always fix both the demand quantity and the production quantity per day. But, in the real situation, both of them probably will have little disturbances every day. Therefore, we should fuzzify both of them to solve the economic production quantity (q*) per cycle. Using α-cut for defuzzification the total variable cost per unit time is derived. Therefore the problem is reduced to crisp annual costs. The multi-objective model is solved by Global Criteria Method with the help of GRG (Generalized Reduced Gradient) Technique. In this model shortages are permitted and fully backordered. The purpose of this paper is to investigate a computing schema for the EPQ in the fuzzy sense. We find that, after defuzzification, the total cost in fuzzy model is less than in the crisp model. So it permits better use of the EPQ model in the fuzzy sense arising with little disturbances in the produc...

Research paper thumbnail of An order level inventory model under two level storage system with fuzzy demand

Yugoslav Journal of Operations Research, 2013

Research paper thumbnail of An EOQ model for deteriorating items with a linear trend in demand and shortages in all cycles

International Journal of Production Economics, May 1, 1997

Research paper thumbnail of An integrated multi-stage supply chain inventory model with imperfect production process

International Journal of Industrial Engineering Computations, 2015

This paper deals with an integrated multi-stage supply chain inventory model with the objective o... more This paper deals with an integrated multi-stage supply chain inventory model with the objective of cost minimization by synchronizing the replenishment decisions for procurement, production and delivery activities. The supply chain structure examined here consists of a single manufacturer with multi-buyer where manufacturer orders a fixed quantity of raw material from outside suppliers, processes the materials and delivers the finished products in unequal shipments to each customer. In this paper, we consider an imperfect production system, which produces defective items randomly and assumes that all defective items could be reworked. A simple algorithm is developed to obtain an optimal production policy, which minimizes the expected average total cost of the integrated production-inventory system.

Research paper thumbnail of Movie Rankings and Greatest Accuracy Credibility Theory: An Alternate Modeling Approach

Social Science Research Network, Jun 11, 2018

(ProQuest: ... denotes formulae omitted.)IntroductionCredibility theory is basically a set of qua... more (ProQuest: ... denotes formulae omitted.)IntroductionCredibility theory is basically a set of quantitative tools, policies and procedures which allows an insurer to adjust future premiums based on past experience on a particular risk or group of risks. Credibility theory ultimately relies on the combination of experience estimates from historical data as well as base estimates in order to develop formulas. The formulas are used to replicate past experiences, and are then tested against actual data.Credibility theory has been used over a considerable period of time in one form or another mainly in different areas of the insurance industry. Areas such as property, casualty accident and health have benefitted from using credibility theory because claims occur at a relatively high rate and the pricing horizon is relatively short. This provides sufficient recent experience to use for future expectations.There are three basic approaches to credibility theory: classical credibility (also known as limited fluctuation credibility), Buhlmann credibility (also known as greatest accuracy credibility) and Bayesian credibility. Of these, Buhlmann credibility has a statistical modelbased approach and is more theoretically sound and robust. Due to these advantages of Buhlmann credibility over other approaches, we will apply it to the movie ranking problem in this study contrary to the previous studies of Das and Chakrabarti (2016) that had approached the same problem by applying the principles of Bayesian credibility theory.Greatest accuracy credibility or Buhlmann credibility attempts to produce linear estimates which will minimize the estimate and the quantity being estimated. Instead of concentrating on the stability of the experience, this theory focuses on the homogeneity of the estimate within the portfolio. However, it is assumed in this model that past experiences are independent and identically distributed components with respect to each year. Although this assumption makes the model simple, it is impractical as it does not allow for variations in exposure or size. These variations are dealt with in the Buhlmann-Straub model.Traditionally any form of the theory of credibility was applied by actuaries and insurers as a method to calculate the future risk premium by combining the individual risk experience with the class risk experience. Hence, its application was confined to a large extent in the insurance industry domain only. However, recent researches have justified the fact that the application of the theory can be diversified and extended to other unlikely domain as well. One such diverse and interesting application is its usage in ranking movies. The primary aim is to apply credibility theory to achieve more accurate and reliable movie rankings based on user's votes. The goal is to eventually help investors to reduce uncertainty about their decision to finance (or not) a new motion picture. Since user's votes comprise a dynamic subset of the whole population of movie goers, the movie rating problem focuses on the homogeneity of the voting group. Hence the appropriateness of the application of greatest accuracy credibility theory in movie ranking problem is ascertained. Further, in our study, we will justify the statistical robustness of credibility theory as an efficient method to rank movies as claimed in the previous studies concerning the same topic.The paper is organized as follows: a review of the related literature on greatest accuracy credibility theory is followed by justification of the present study and objectives. Subsequently we will apply Buhlmann modeling and Buhlmann-Straub modeling to movie ranking problem. Numerical calculations are followed by interpretation of the same to justify the suitability and effectiveness of Buhlmann-Straub modeling over Buhlmann modeling to achieve more accurate movie rankings. Finally, the conclusion is presented along with the scope for further research. …

Research paper thumbnail of Application of Bayesian Credibility Theory in Movie Rankings to Reduce Financial Risk of Production Houses

Parikalpana : KIIT journal of management, Dec 1, 2016

Credibility theory is a branch of actuarial science devoted to quantify how unique a particular o... more Credibility theory is a branch of actuarial science devoted to quantify how unique a particular outcome will be compared to an outcome deemed as typical. In this paper, we will examine the application of the principles of Bayesian Credibility Theory in rating and ranking movies by a premier online movie database based on user's votes. Although the Bayesian credibility theory was developed originally as a method to calculate the risk premium by combining the individual risk experience with the class risk experience, it is generic enough to deal with a wide range of practical applications quite different from the classical application mentioned above. One such diverse application of the theory in an unlikely domain will be discussed in this paper.

Research paper thumbnail of Two-echelon Supply Chain Model for Deteriorating Items in an Imperfect Production System with Advertisement and Stock Dependent Demand under Trade Credit

International Journal of Supply and Operations Management, Aug 1, 2018

This article presents a two-echelon supply chain model for deteriorating items, consisting of a s... more This article presents a two-echelon supply chain model for deteriorating items, consisting of a single manufacturer and a single retailer, where the customer's demand to the retailer depends on advertisement and the displayed stock level of the retailer. Due to the imperfect production system, the manufacturer produces a certain quantity of defective items with the perfect products. The manufacturer inspects all the products immediately after production and sells the ideal quality items to the retailer. To entice the retailer to purchase more products, the manufacturer offers the retailer a trade-credit policy so that the retailer can get a chance to settle his account before the payment for the products. We have developed a cost function of this model. Numerical examples have been presented to clarify the applicability of this model and the sensitivity analysis with respect to different parameters involved with the model has been performed to study the effect of the parameter change on the decision variables.

Research paper thumbnail of An EPQ Model for Imperfect Production System with Deteriorating Items, Price-Dependent Demand, Rework and Lead Time Under Markdown Policy

Inventory Optimization, 2022