In the integrated production-shipment models for the single-vendor-single-buyer system presented hitherto, the demand rate of items is treated as a constant. However, many researchers have observed that the presence o...In the integrated production-shipment models for the single-vendor-single-buyer system presented hitherto, the demand rate of items is treated as a constant. However, many researchers have observed that the presence of more quantities of the same product tends to attract more customers. This suggests that the demand rate should depend on the stock level. This paper presents a single-vendor-single-buyer production-shipment model with the stock dependent demand rate, based on the demand rate linearly depending upon the stock level at any instant of time.展开更多
The main purpose of this paper is to develop an inventory model under fuzzy approach by considering the effect of inflation and time value of money, to determine the optimal time period for inventory cycle and minimum...The main purpose of this paper is to develop an inventory model under fuzzy approach by considering the effect of inflation and time value of money, to determine the optimal time period for inventory cycle and minimum total average costs. The model is integrated production inventory model developed where;the Demand has a direct linear impact on production rate. The model can be divided into four stages. In the first two stages with original production rate and subsequent change in production rate, inventory level rises. Third stage is time after the accumulation of inventory and before the deterioration starts, where demand which selling price dependent is depreciating the inventory level, while in the fourth stage deterioration occurs, which is considered to follow two parameter Weibull distribution. The back-order is not considered. Hexagonal fuzzy numbers are used to derive optimum solution and defuzzification by graded mean integration representation method. A numerical example is given to demonstrate the applicability of the purposed model and sensitivity analysis is carried out to reveal the impact of change in parameter values.展开更多
The objective is to develop a model considering demand dependent on selling price and deterioration occurs after a certain period of time, which follows two-parameter Weibull distribution. Shortages are allowed and fu...The objective is to develop a model considering demand dependent on selling price and deterioration occurs after a certain period of time, which follows two-parameter Weibull distribution. Shortages are allowed and fully backlogged. Fuzzy optimal solution is obtained by considering hexagonal fuzzy numbers and for defuzzification Graded Mean Integration Representation Method. A numerical example is provided for the illustration of crisp and fuzzy, both models. To observe the effect of changes in parameters, sensitivity analysis is carried out.展开更多
Supply chains and other complex systems can be effectively managed and optimised with the help of optimal control techniques.Optimal control,as used in supply chain management,is the process of using mathematical opti...Supply chains and other complex systems can be effectively managed and optimised with the help of optimal control techniques.Optimal control,as used in supply chain management,is the process of using mathematical optimisation techniques to identify the best course of action for controlling a given objective function over time.Modeling the supply chain’s dynamics,which include elements like production rates,inventory levels,demand trends,and transportation constraints,is the best control strategy when applied to a supply chain.In this study,we have considered that production rate is an unknown function of time,which is a controlling function.The demand for the product is taken as a function of price and time.The emission of carbon is taken as a linear function of the production rate of the system.To solve the suggested supply chain system,we have used an optimal control approach for determining the unknown production rate.To find the optimal values of the objective function as well as the decision variables,we have used different meta-heuristic algorithms and compared their results.It is observed that the equilibrium optimizer algorithm performed better than other algorithms used.Finally,a sensitivity analysis is performed,which is presented graphically in order to choose the best course of action.展开更多
Availability of inventory is a crucial issue while adopting a consignment strategy.The issue becomes paramount when demand depends on stock.To address the issue,a one-vendor one-buyer model under consignment stock(CS)...Availability of inventory is a crucial issue while adopting a consignment strategy.The issue becomes paramount when demand depends on stock.To address the issue,a one-vendor one-buyer model under consignment stock(CS)policy is addressed in this paper.Both the channel members are assumed to have space limitations in their respective warehouses.The display area for the buyer is also limited.The buyer receives the product from the vendor under consignment stock policy,and transfers it in small batches to the display area.The market demand is affected by the price,freshness and on-hand stock level.Price is assumed to be dynamic in order to accurately depict real-world scenarios and to exhibit its important role in driving demand and influencing other decision-making factors.This study derives the optimal decisions to maximize the total profit of the supply chain system.Numerical experiments illustrate the optimal strategies such as production rate,shipment sizes,warehouse space limit,and number of shipments.Managerial insights are provided to establish the applicability of the model.展开更多
文摘In the integrated production-shipment models for the single-vendor-single-buyer system presented hitherto, the demand rate of items is treated as a constant. However, many researchers have observed that the presence of more quantities of the same product tends to attract more customers. This suggests that the demand rate should depend on the stock level. This paper presents a single-vendor-single-buyer production-shipment model with the stock dependent demand rate, based on the demand rate linearly depending upon the stock level at any instant of time.
文摘The main purpose of this paper is to develop an inventory model under fuzzy approach by considering the effect of inflation and time value of money, to determine the optimal time period for inventory cycle and minimum total average costs. The model is integrated production inventory model developed where;the Demand has a direct linear impact on production rate. The model can be divided into four stages. In the first two stages with original production rate and subsequent change in production rate, inventory level rises. Third stage is time after the accumulation of inventory and before the deterioration starts, where demand which selling price dependent is depreciating the inventory level, while in the fourth stage deterioration occurs, which is considered to follow two parameter Weibull distribution. The back-order is not considered. Hexagonal fuzzy numbers are used to derive optimum solution and defuzzification by graded mean integration representation method. A numerical example is given to demonstrate the applicability of the purposed model and sensitivity analysis is carried out to reveal the impact of change in parameter values.
文摘The objective is to develop a model considering demand dependent on selling price and deterioration occurs after a certain period of time, which follows two-parameter Weibull distribution. Shortages are allowed and fully backlogged. Fuzzy optimal solution is obtained by considering hexagonal fuzzy numbers and for defuzzification Graded Mean Integration Representation Method. A numerical example is provided for the illustration of crisp and fuzzy, both models. To observe the effect of changes in parameters, sensitivity analysis is carried out.
基金supported by UGC SRF Fellowship(NTA Ref.Nos.211610092425 and 201610165233).
文摘Supply chains and other complex systems can be effectively managed and optimised with the help of optimal control techniques.Optimal control,as used in supply chain management,is the process of using mathematical optimisation techniques to identify the best course of action for controlling a given objective function over time.Modeling the supply chain’s dynamics,which include elements like production rates,inventory levels,demand trends,and transportation constraints,is the best control strategy when applied to a supply chain.In this study,we have considered that production rate is an unknown function of time,which is a controlling function.The demand for the product is taken as a function of price and time.The emission of carbon is taken as a linear function of the production rate of the system.To solve the suggested supply chain system,we have used an optimal control approach for determining the unknown production rate.To find the optimal values of the objective function as well as the decision variables,we have used different meta-heuristic algorithms and compared their results.It is observed that the equilibrium optimizer algorithm performed better than other algorithms used.Finally,a sensitivity analysis is performed,which is presented graphically in order to choose the best course of action.
文摘Availability of inventory is a crucial issue while adopting a consignment strategy.The issue becomes paramount when demand depends on stock.To address the issue,a one-vendor one-buyer model under consignment stock(CS)policy is addressed in this paper.Both the channel members are assumed to have space limitations in their respective warehouses.The display area for the buyer is also limited.The buyer receives the product from the vendor under consignment stock policy,and transfers it in small batches to the display area.The market demand is affected by the price,freshness and on-hand stock level.Price is assumed to be dynamic in order to accurately depict real-world scenarios and to exhibit its important role in driving demand and influencing other decision-making factors.This study derives the optimal decisions to maximize the total profit of the supply chain system.Numerical experiments illustrate the optimal strategies such as production rate,shipment sizes,warehouse space limit,and number of shipments.Managerial insights are provided to establish the applicability of the model.
