Two-echelon production-inventory system with fuzzy production rate and promotional effort dependent demand

Priyan, S.; Palanivel, M.; Uthayakumar, R.

doi:10.1080/23270012.2015.1008593

Cited by 14 publications

(12 citation statements)

References 61 publications

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“…Each one is superior to the other. Priyan et al (2015) offered a two-level production-inventory model that includes a manufacturer and a retailer. Demand depends on advertising and the rate of production is uncertain.…”

Section: Literature Reviewmentioning

confidence: 99%

The effect of promotional cost sharing on the decisions of two-level supply chain with uncertain demand

2018

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In much of today's competitive marketplace, consumers have the opportunity to choose where they spend their money based on their examination of a company's corporate social responsibility (CSR). A company's social reputation and its promotional efforts may influence consumer choice. Sustainable development is highly regarded by governments, experts, decision-makers and managers in organizations and two-level supply chains. This supply chain includes a manufacturer (acting as leader) and a retailer (acting as follower), both of whom face demand uncertainty. In this article, the cost of advertising is considered in two ways for the manufacturer and the retailer. In the first model, the retailer determines the optimal retail price and order quantity, and the manufacturer determines the optimal wholesale price and the promotional efforts value so that their profits are maximized. In the second model, the retailer determines the optimal retail price, order quantity, and promotional efforts value, and the manufacturer determines the optimal wholesale price. We will also study the impact of promotional cost sharing on the coordination of the supply chain and the issue will be further explained with numerical examples. Therefore, in this research, the simultaneous effect of increased advertising and value consumer surplus is studied We examine cases when the retailer is a provider of promotional cost and profit, when consumer surplus is directed toward the retailer, and when both retailer and manufacturer achieve higher profits than when the manufacturer is responsible for promotional cost and profit.

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Section: Literature Reviewmentioning

confidence: 99%

The effect of promotional cost sharing on the decisions of two-level supply chain with uncertain demand

2018

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confidence: 92%

“…The buyer's inventory policies under delayed payment have been widely addressed. Priyan et al (1) developed an EOQ inventory model with advance payment policy and fuzziness in the cost and demand parameters.…”

Section: Introductionmentioning

confidence: 99%

A Fuzzy EOQ Inventory Model with Advance Payment and Various Fuzzy Numbers

Hemalatha¹,

Annadurai²

2023

IJST

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Objectives:To propose suitable inventory system with advance payment in a fuzzy situation by employing four types of fuzzy numbers that are triangular, trapezoidal, pentagonal and Hexagonal. Methods: We use the same numerical data as in Priyan et al. (1) to verify the results obtained by this research. To obtain the minimum total cost and the optimum solution, a comparison is made by employing four types of fuzzy numbers. Two inventory models are proposed here. Initially, crisp models are developed with fuzzy total inventory cost along crisp optimal replenishment cycle. Next, the fuzzy model is also formulated with fuzzy total inventory cost and fuzzy optimal replenishment cycle. Graded mean integration method is employed to defuzzify the total inventory cost and the extension of the Lagrangian method is used to determine the optimal replenishment cycle. Findings: Our results indicate that the optimal solutions of the fuzzy model slightly fluctuate from the solutions of the crisp model. Numerical examples have been given in order to show the applicability of the proposed model. We obtain minimum total cost when we defuzzify the trapezoidal fuzzy parameters using graded mean integration method. Novelty: In real-world circumstances, costs might be influenced by a foreign currency in which the expenses are frequently unknown. Instead of a stochastic environment, the decision-maker in this case is faced with a fuzzy one. This study is unique in itself as it undertakes to study inventory models with different fuzzy numbers. The research reveals that the fuzzy model, which has been defuzzified with the graded mean integration method, shows a proof of savings of 25% to 40% in the analytical solution compared to the previous model. Our model helps the decision maker to tackle the uncertainties in accounting flexibility in the input factors that always fit the real situation.

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“…Grewal et al [3] studied the broad advancement in pricing and promotion in retail while putting three key research areas, targeting, models, and design, before the researchers. Among others, researchers (Maihami and Karimi [4], Palanivel and Uthayakumar [5], Priyan et al [6], and Taleizadeh [7]) have undertaken different interesting studies related to promotional efforts with sensitive demand in the inventory systems.…”

Section: Introductionmentioning

confidence: 99%

Development of a Fuzzy Economic Order Quantity Model of Deteriorating Items with Promotional Effort and Learning in Fuzziness with a Finite Time Horizon

et al. 2019

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This study investigates an economic order quantity model of deteriorating items, where demand is fuzzy in nature and depends on promotional effort with full backorder for a given time horizon. The learning effect in the fuzzy environment is added in this model. A constant deterioration rate is assumed. Under these circumstances, a mathematical model is developed to curtail the total cost over a finite time horizon by determining the replenishment order quantity, number of replenishments, and the fraction of the replenishment cycle when inventory is positive. A solution algorithm is developed to find the optimal solutions. The applicability of the proposed model is illustrated through numerical examples. To get further insights, sensitivity analysis is carried out for the main parameters in crisp, fuzzy, and fuzzy-learning environments.

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Two-echelon production-inventory system with fuzzy production rate and promotional effort dependent demand

Cited by 14 publications

References 61 publications

The effect of promotional cost sharing on the decisions of two-level supply chain with uncertain demand

The effect of promotional cost sharing on the decisions of two-level supply chain with uncertain demand

A Fuzzy EOQ Inventory Model with Advance Payment and Various Fuzzy Numbers

Development of a Fuzzy Economic Order Quantity Model of Deteriorating Items with Promotional Effort and Learning in Fuzziness with a Finite Time Horizon

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