Joint pricing and replenishment policies for non-instantaneous deteriorating items with imprecise deterioration free time and credibility constraint

Soni, Hardik; Patel, Kamlesh A.

doi:10.1016/j.cie.2013.08.022

Cited by 27 publications

(10 citation statements)

References 29 publications

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“…Therefore, the problem is solved applying the following search procedure, a similar form of which has been used in Wu, Ouyang, and Yang (2009), Soni and Patel (2013), Maihami and Abadi (2012) and Shah et al (2013) as well. Firstly it is proved that for given values of r and given p 0 ; T there exist a unique optimal value of A.…”

Section: Solution Methodologymentioning

confidence: 99%

“…Soni and Patel (2012) investigated optimal pricing and inventory policies for non-instantaneous deteriorating items as well. This model was extended by Soni and Patel (2013) by considering imprecise deterioration free time and credibility constraint. Shah, Soni, and Patel (2013) provided one of the few studies which investigated the impact of advertisement on demand.…”

Section: Literature Reviewmentioning

confidence: 99%

“…For fixed A and r the unique optimal solution for ðT; p 0 Þ which maximizes TPðpðtÞ; A; TÞ exists. Based on the concavity of the objective function, the following algorithm which is similar to the ones proposed by Wu et al (2009), Soni and Patel (2013), Maihami and Abadi (2012) and Shah et al (2013) is developed to identify global optimal solution for ðA; p 0 ; r; TÞ. Since the algorithm is structured based upon the lemmas which prove that there exist unique optimal solutions for the decision variables of the problem, it ensures that the obtained values optimize the profit of the inventory system.…”

Section: Proof See Appendix E Hmentioning

confidence: 99%

See 2 more Smart Citations

Coordinated replenishment and marketing policies for non-instantaneous stock deterioration problem

Rabbani

Zia

Rafiei

2015

Computers & Industrial Engineering

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Section: Solution Methodologymentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Section: Proof See Appendix E Hmentioning

confidence: 99%

See 1 more Smart Citation

Coordinated replenishment and marketing policies for non-instantaneous stock deterioration problem

Rabbani

Zia

Rafiei

2015

Computers & Industrial Engineering

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“…Therefore, the total relevant cost over the finite horizon H for the fuzzy model would be as per Equation (18), which can be rewritten using Equation 7as:…”

Section: A Fuzzy Continuous Review Inventory Model With An Imprecise mentioning

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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“…Chang et al (2014) considered an inventory system with non-instantaneously deteriorating items under order sizedependent delay in payments. Soni and Patel (2013) developed an inventory model for non-instantaneous deteriorating items with imprecise deterioration free time and credibility constraint. That model assumes price-sensitive demand when the product has no deterioration and price and time-dependent demand when the product has deterioration.…”

Section: Literature Reviewmentioning

confidence: 99%

Developing EPQ models for non-instantaneous deteriorating items

Ghasemi

2015

J Ind Eng Int

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In this paper, the classical economic production quantity (EPQ) model is developed for non-instantaneous deteriorating items by considering a relationship between the holding cost and the ordering cycle length. Two models are developed. First, the proposed model is considered when backorders are not permitted and this condition is waived for the second case. The cost functions associated with these models are proved to be convex and an algorithm is designed to find the optimum solutions of the proposed model. Results show that the relationship between holding cost and ordering cycle length has a significant impact on the optimal lot size and total cost in the EPQ model. Numerical examples are presented to demonstrate the utility of the models.

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Joint pricing and replenishment policies for non-instantaneous deteriorating items with imprecise deterioration free time and credibility constraint

Cited by 27 publications

References 29 publications

Coordinated replenishment and marketing policies for non-instantaneous stock deterioration problem

Coordinated replenishment and marketing policies for non-instantaneous stock deterioration problem

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

Developing EPQ models for non-instantaneous deteriorating items

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