Bappa Mondal - Academia.edu (original) (raw)

Papers by Bappa Mondal

Research paper thumbnail of Operational strategies of fuzzy inventory models for costly metallic items with conditional trade-credit policy linked to the purchasing cost

European J. of Industrial Engineering

Research paper thumbnail of Optimization of EOQ Model with Limited Storage Capacity by Neutrosophic Geometric Programming

In this article, we present deterministic single objective economic order quantity model with lim... more In this article, we present deterministic single objective economic order quantity model with limited storage capacity in neutrosophic environment. We consider variable limit production cost and time dependent holding cost into account. Here we minimize total average cost of proposed model by applying neutrosophic geometric programming, which is obtained by extending existing fuzzy and intuitionistic fuzzy geometric programming for solving resultant non-linear optimization model. Next we consider numerical application to show that optimal solution obtained by neutrosophic geometric programming is more desirable than that of crisp, fuzzy and intuitionistic fuzzy geometric programming. Also we perform sensitivity analysis of parameters and present key managerial insights. Finally we draw the conclusions.

Research paper thumbnail of • Customer Satisfaction and Environmental Concern Based Multiple Objective Optimization Model for Sustainable Supply Chain in Real Life: An Intuitionistic Fuzzy T-Set Approach

I n this paper, one customer satisfaction and environmental concern based multiple objective opti... more I n this paper, one customer satisfaction and environmental concern based multiple objective optimization model is presented to manage supply chain under uncertainty. Although much ...

Research paper thumbnail of Posynomial Geometric Programming in EOQ Model with Interval Neutrosophic Number

In this article, a posynomial geometric programming in EOQ model with interval neutrosophic numbe... more In this article, a posynomial geometric programming in EOQ model with interval neutrosophic number is presented. Here the cost, the constraint coefficients, and the right-hand sides are taken as imprecise neutrosophic interval number. In this method, the interval posynomial geometric programming problem has been transformed into equivalent parametric posynomial geometric programming problem by using (\(\alpha , \beta , \gamma \))-cuts of neutrosophic numbers. As an application of our method a real life problem has been considered to explain the ability and efficiency of the proposed method in neutrosophic environment. Also the result have been analyzed and justified by giving proper figures and tables. The ability of calculating the bounds of the objective value developed in this paper might help lead to more realistic modeling efforts in engineering optimization areas.

Research paper thumbnail of An Inventory Model under Space Constraint in Neutrosophic Environment: A Neutrosophic Geometric Programming Approach

In this paper, an inventory model is developed without shortages where the production cost is inv... more In this paper, an inventory model is developed without shortages where the production cost is inversely related to the set up cost and production quantity. In addition, the holding cost is considered time dependent. Here impreciseness is introduced in the storage area. The objective and constraint functions are defined by the truth (membership) degree, indeterminacy (hesitation) degree and falsity (non-membership) degree. Likewise, a non-linear programming problem with a constraint is also considered.

Research paper thumbnail of Inventory policies for seasonal items with logistic-growth demand rate under fully permissible delay in payment: a neutrosophic optimization approach

Soft Computing

The present study investigates an inventory system for seasonal products under variable demand ra... more The present study investigates an inventory system for seasonal products under variable demand rate and partial backordering in a competitive market. Among various demand rate functions used in the existing literature of economic order quantity (EOQ) models, the logistic-growth function is best known to estimate market already captured and fraction of market remaining to be captured by new seasonal and technology driven items. Weibull distribution well represents the seasonality and versatility of these products. Due to retailers’ reluctance to purchase and store these perishable products, supplier offers the delay in payment. In view of the above, the proposed EOQ model suitable for those items considers the logistic-growth demand rate, Weibull distribution deterioration rate and partial backordering along with fully permissible delay in payment. Since the neutrosophic set quantifies the imprecise information in real-life scenarios, the proposed EOQ model is optimized in neutrosophic environment. A general unconstrained nonlinear mathematical model with neutrosophic coefficients is optimized using the weighted arithmetic mean function, subject to specified neutrosophic norm. A special case with the neutrosophic conjunction norm along with four lemmata is considered to minimize the cost functions with neutrosophic coefficients to proposed EOQ model across various trade-credit intervals. Here, the managerial insights identified through sensitivity analysis advocate to reduce the expenses on early promotions for foreshortening the demand at the beginning of cycle. Also, the present study demonstrates the optimal inventory depletion time to depend on the demand during the shortages in neutrosophic environment.

Research paper thumbnail of Optimization of multi-objective commercial bank balance sheet management model: A parametric T-set approach

International Journal of Mathematics in Operational Research

In this article, we consider optimisation of multi-objective model with fuzzy coefficients in imp... more In this article, we consider optimisation of multi-objective model with fuzzy coefficients in imprecise environment. In 2016, we introduced T-set to supersede fuzzy set for representing impreciseness. It followed our observation that some constraints of existing classical fuzzy optimisation method compel membership values of fuzzy objective functions and constraints to fall in range between zero and one. So we cannot always attain most preferable Pareto optimal solution to it. Again existing constraints in this method sometimes show models as infeasible. Here we introduce parametric T-set. Next we consider multi-objective optimisation model with fuzzy cost coefficients and present general algorithm to arrive at parametric Pareto optimal solution to it. In numerical application, we illustrate usefulness of proposed algorithm by considering commercial bank balance sheet management model with fuzzy cost coefficients in parametric T-environment. Also we perform sensitivity analysis of parameters and present key managerial insights. Finally we draw conclusions.

Research paper thumbnail of Optimisation of multi-objective commercial bank balance sheet management model: a parametric T-set approach

International Journal of Mathematics in Operational Research

Research paper thumbnail of Optimization of EOQ model with space constraint: An intuitionistic fuzzy geometric programming approach

Notes on Intuitionistic Fuzzy Sets

In this paper, we present a deterministic single objective economic order quantity (EOQ) model wi... more In this paper, we present a deterministic single objective economic order quantity (EOQ) model with space constraint in intuitionistic fuzzy environment. Here we take variable limit production cost, time dependent holding cost into account. We propose intuitionistic fuzzy geometric programming by extending existing fuzzy geometric programming to solve non-linear optimization problems. Next, we minimize the total average cost (TAC) of proposed EOQ model by applying intuitionistic fuzzy geometric programming. We consider one numerical application to show that the optimal solution of the proposed model by intuitionistic fuzzy geometric programming is more preferable than that of crisp and fuzzy geometric programming. Also we perform sensitivity analysis of parameters and present key managerial insights. Finally, we draw the conclusions.

Research paper thumbnail of Optimization of generalized order level inventory system under fully permissible delay in payment

RAIRO - Operations Research

This article presents one generalized order-level inventory system with fully permissible delay i... more This article presents one generalized order-level inventory system with fully permissible delay in payment in various trade-credit intervals. Review of existing literature nds few EOQ models under simultaneous considerations of time-dependent generalized demand rate, time-dependent generalized rate of deterioration and time-dependent generalized backordering under fully permissible delay in payment. In those existing studies, the optimal inventory depletion time is independent of demand over the entire cycle. Here, present article frames one generalized order level inventory system with fully permissible delay in payment across various trade-credit intervals. This nds that when the trade-credit period is longer than the inventory depletion time to settle the account, the optimal inventory depletion time is dependent of demand. Under this ambiance, one particular case having time-dependent ramp type demand rate, two variables time-dependent Weibull distribution rate of deterioration ...

Research paper thumbnail of Operational strategies of fuzzy inventory models for costly metallic items with conditional trade-credit policy linked to the purchasing cost

European J. of Industrial Engineering

Research paper thumbnail of Optimization of EOQ Model with Limited Storage Capacity by Neutrosophic Geometric Programming

In this article, we present deterministic single objective economic order quantity model with lim... more In this article, we present deterministic single objective economic order quantity model with limited storage capacity in neutrosophic environment. We consider variable limit production cost and time dependent holding cost into account. Here we minimize total average cost of proposed model by applying neutrosophic geometric programming, which is obtained by extending existing fuzzy and intuitionistic fuzzy geometric programming for solving resultant non-linear optimization model. Next we consider numerical application to show that optimal solution obtained by neutrosophic geometric programming is more desirable than that of crisp, fuzzy and intuitionistic fuzzy geometric programming. Also we perform sensitivity analysis of parameters and present key managerial insights. Finally we draw the conclusions.

Research paper thumbnail of • Customer Satisfaction and Environmental Concern Based Multiple Objective Optimization Model for Sustainable Supply Chain in Real Life: An Intuitionistic Fuzzy T-Set Approach

I n this paper, one customer satisfaction and environmental concern based multiple objective opti... more I n this paper, one customer satisfaction and environmental concern based multiple objective optimization model is presented to manage supply chain under uncertainty. Although much ...

Research paper thumbnail of Posynomial Geometric Programming in EOQ Model with Interval Neutrosophic Number

In this article, a posynomial geometric programming in EOQ model with interval neutrosophic numbe... more In this article, a posynomial geometric programming in EOQ model with interval neutrosophic number is presented. Here the cost, the constraint coefficients, and the right-hand sides are taken as imprecise neutrosophic interval number. In this method, the interval posynomial geometric programming problem has been transformed into equivalent parametric posynomial geometric programming problem by using (\(\alpha , \beta , \gamma \))-cuts of neutrosophic numbers. As an application of our method a real life problem has been considered to explain the ability and efficiency of the proposed method in neutrosophic environment. Also the result have been analyzed and justified by giving proper figures and tables. The ability of calculating the bounds of the objective value developed in this paper might help lead to more realistic modeling efforts in engineering optimization areas.

Research paper thumbnail of An Inventory Model under Space Constraint in Neutrosophic Environment: A Neutrosophic Geometric Programming Approach

In this paper, an inventory model is developed without shortages where the production cost is inv... more In this paper, an inventory model is developed without shortages where the production cost is inversely related to the set up cost and production quantity. In addition, the holding cost is considered time dependent. Here impreciseness is introduced in the storage area. The objective and constraint functions are defined by the truth (membership) degree, indeterminacy (hesitation) degree and falsity (non-membership) degree. Likewise, a non-linear programming problem with a constraint is also considered.

Research paper thumbnail of Inventory policies for seasonal items with logistic-growth demand rate under fully permissible delay in payment: a neutrosophic optimization approach

Soft Computing

The present study investigates an inventory system for seasonal products under variable demand ra... more The present study investigates an inventory system for seasonal products under variable demand rate and partial backordering in a competitive market. Among various demand rate functions used in the existing literature of economic order quantity (EOQ) models, the logistic-growth function is best known to estimate market already captured and fraction of market remaining to be captured by new seasonal and technology driven items. Weibull distribution well represents the seasonality and versatility of these products. Due to retailers’ reluctance to purchase and store these perishable products, supplier offers the delay in payment. In view of the above, the proposed EOQ model suitable for those items considers the logistic-growth demand rate, Weibull distribution deterioration rate and partial backordering along with fully permissible delay in payment. Since the neutrosophic set quantifies the imprecise information in real-life scenarios, the proposed EOQ model is optimized in neutrosophic environment. A general unconstrained nonlinear mathematical model with neutrosophic coefficients is optimized using the weighted arithmetic mean function, subject to specified neutrosophic norm. A special case with the neutrosophic conjunction norm along with four lemmata is considered to minimize the cost functions with neutrosophic coefficients to proposed EOQ model across various trade-credit intervals. Here, the managerial insights identified through sensitivity analysis advocate to reduce the expenses on early promotions for foreshortening the demand at the beginning of cycle. Also, the present study demonstrates the optimal inventory depletion time to depend on the demand during the shortages in neutrosophic environment.

Research paper thumbnail of Optimization of multi-objective commercial bank balance sheet management model: A parametric T-set approach

International Journal of Mathematics in Operational Research

In this article, we consider optimisation of multi-objective model with fuzzy coefficients in imp... more In this article, we consider optimisation of multi-objective model with fuzzy coefficients in imprecise environment. In 2016, we introduced T-set to supersede fuzzy set for representing impreciseness. It followed our observation that some constraints of existing classical fuzzy optimisation method compel membership values of fuzzy objective functions and constraints to fall in range between zero and one. So we cannot always attain most preferable Pareto optimal solution to it. Again existing constraints in this method sometimes show models as infeasible. Here we introduce parametric T-set. Next we consider multi-objective optimisation model with fuzzy cost coefficients and present general algorithm to arrive at parametric Pareto optimal solution to it. In numerical application, we illustrate usefulness of proposed algorithm by considering commercial bank balance sheet management model with fuzzy cost coefficients in parametric T-environment. Also we perform sensitivity analysis of parameters and present key managerial insights. Finally we draw conclusions.

Research paper thumbnail of Optimisation of multi-objective commercial bank balance sheet management model: a parametric T-set approach

International Journal of Mathematics in Operational Research

Research paper thumbnail of Optimization of EOQ model with space constraint: An intuitionistic fuzzy geometric programming approach

Notes on Intuitionistic Fuzzy Sets

In this paper, we present a deterministic single objective economic order quantity (EOQ) model wi... more In this paper, we present a deterministic single objective economic order quantity (EOQ) model with space constraint in intuitionistic fuzzy environment. Here we take variable limit production cost, time dependent holding cost into account. We propose intuitionistic fuzzy geometric programming by extending existing fuzzy geometric programming to solve non-linear optimization problems. Next, we minimize the total average cost (TAC) of proposed EOQ model by applying intuitionistic fuzzy geometric programming. We consider one numerical application to show that the optimal solution of the proposed model by intuitionistic fuzzy geometric programming is more preferable than that of crisp and fuzzy geometric programming. Also we perform sensitivity analysis of parameters and present key managerial insights. Finally, we draw the conclusions.

Research paper thumbnail of Optimization of generalized order level inventory system under fully permissible delay in payment

RAIRO - Operations Research

This article presents one generalized order-level inventory system with fully permissible delay i... more This article presents one generalized order-level inventory system with fully permissible delay in payment in various trade-credit intervals. Review of existing literature nds few EOQ models under simultaneous considerations of time-dependent generalized demand rate, time-dependent generalized rate of deterioration and time-dependent generalized backordering under fully permissible delay in payment. In those existing studies, the optimal inventory depletion time is independent of demand over the entire cycle. Here, present article frames one generalized order level inventory system with fully permissible delay in payment across various trade-credit intervals. This nds that when the trade-credit period is longer than the inventory depletion time to settle the account, the optimal inventory depletion time is dependent of demand. Under this ambiance, one particular case having time-dependent ramp type demand rate, two variables time-dependent Weibull distribution rate of deterioration ...