A fuzzy inventory model for linear deteriorating items with selling price dependent demand and allowable shortages under partially backlogged condition

Indrajitsingha, Susanta Kumar

doi:10.1504/ijpm.2019.10021014

Cited by 4 publications

(3 citation statements)

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“…Dye [19] considered a logic over an infinite time horizon with allowable back-ordering. Similar papers were developed by Panda et al [20], Tsao and Sheen [21], Lin et al [22], Dye and Ouyang [23], Wang and Lin [24], Ghoreishi et al [25], Soni and Patel [26], Srivastava and Gupta [27], Wang and Huang [28], Bai et al [29], Bhunia et al [30], Rabbani et al [ 31], Indrajitsingha et al [32,33]. Recently one work was developed by Rahamann and Duary [34] to handle the fluctuating customer demand (selling price dependent).…”

Section: Introductionsupporting

confidence: 52%

An EOQ Model of Selling-Price-Dependent Demand for Non-Instantaneous Deteriorating Items during the Pandemic COVID-19

Indrajitsingha¹,

Raula²,

Samanta

et al. 2021

Walailak J Sci & Tech

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A pricing factor plays a dominant role in consumer behavior in most countries affected by the COVID19 pandemic. People have lost their job while others renegotiated for low-paying jobs during this pandemic. Thus, this article aims to develop a viable model to consider various aspects of the COVID19 pandemic. Here, we develop an optimal ordering quantity inventory model of deteriorating items, which are still in demand depending upon the selling price of the product. The items are assumed to be non-instantaneous deteriorating. The shortage is allowed in lead time and is partially backlogged. A solution procedure is presented to determine an optimal cycle, order quantity, and total average cost. A realistic numerical example is given to validate the proposed model by changing different systems of parameters, where sensitivity analysis has been carried out. The effectiveness of the system has been observed through graphical representation. HIGHLIGHTS The study considers the inventory model for non-instantaneous deteriorating items. Selling price dependent demand is incorporated. The shortage is allowed in lead time and is partially backlogged. Theoretical results have been formed to characterize the optimal solutions. The effect of key parameters is studies rigorously. GRAPHICAL ABSTRACT

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Section: Introductionsupporting

confidence: 52%

An EOQ Model of Selling-Price-Dependent Demand for Non-Instantaneous Deteriorating Items during the Pandemic COVID-19

Indrajitsingha¹,

Raula²,

Samanta

et al. 2021

Walailak J Sci & Tech

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“…Continuous review inventory model of deteriorating items was developed by Roy and Samanta (2009). Most of the research have been carried out in time to time on the necessity of society by Jaggi et al (2012), Ranganathan and Thirunavukarsu (2014), De and Sana (2015), Indrajitsingha et al (2019aIndrajitsingha et al ( , 2019b, Sahoo et al (2021). Kuppulakshmi et al(2023) proposed an inventory method of imperfect items in which deterioration taken as triangular fuzzy number.…”

Section: Review Of Literaturementioning

confidence: 99%

Fuzzy inventory model of seasonal deteriorating products with time and price sensitive demand and holding cost under partial backlogged

Sahu,

Ganesh,

Indrajitsingha

2024

Preprint

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Demand is one of the key components of inventory modeling. Moreover, the rate of demand mostly depends upon both the time and the selling price of the product. Particularly for seasonal products like milk products and vegetables having low life time, demand depends on both production and stock. Since deterioration rate, production cost and holding-cost are uncertain in the case of seasonal products like fruits vegetable, we consider them as triangular fuzzy number. Hence in this paper, we discuss a mathematical model for deterioration of seasonal products with the demand depending upon production and selling price in crisp and fuzzy approach. In the proposed model shortages with partially backlogged is allowed. Defuzzification is done by using graded mean integration representation method. An algorithm is illustrated for the solution of problem, and for the validation of the model, a real-life numerical example is considered. Furthermore sensitivity analysis of the developed model is performed to investigate the effect of different system parameters with Mathematica 11.1 software.

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“…Throughout the years, several other researchers such as Pakkala et al (1991), Bankherouf (1997), Lee et al (2000), Wee et al (2005), Rong et al (2008), Lee et al (2009), Panda et al (2012), Yadav et al (2013), Bhunia et al (2014), Kaliraman et al (2017), Chakrabarty et al (2018), Shaikh et al (2019), Indrajitsingha et al (2019), Aastha et al (2020), and Gupta et al (2020) have considered two-warehouse inventory models for deteriorating items with different types of demand.…”

Section: Introductionmentioning

confidence: 99%

A Two-Warehouse Inventory Model With Rework Process and Time-Varying Demand

Nurhasril

Supadi

Omar

2023

MJS

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A two-warehouse inventory model with deteriorating items and rework process with time varying demand rate is presented. The Last-In-First-Out (LIFO) and First-In-First-Out (FIFO) policies are considered with the assumption that the holding cost is higher in the rented warehouse (RW) compared to the owned warehouse (OW). The aim of the proposed model is to determine the optimum values of time in a production cycle that will minimise the total relevant cost, TRC*. We have utilised Microsoft Excel Solver as a solution tool, in which the generalised reduced gradient (GRG Nonlinear) method has been chosen as the solving method. The result is further verified using the built-in function in the Mathematica software. We observed that given same changes are made to the parameters in both the LIFO and FIFO systems, a lower total relevant cost, TRC* is obtained in the LIFO system. This shall mean that the LIFO system is less expensive than the FIFO system, provided that the holding cost in RW is higher than the holding cost in OW. The flow of inventory in the LIFO system suggests that items stored last in the owned warehouse will be dispatched first. This is an important factor for manufacturers in ensuring that items are distributed at optimal freshness.

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A fuzzy inventory model for linear deteriorating items with selling price dependent demand and allowable shortages under partially backlogged condition

Cited by 4 publications

References 0 publications

An EOQ Model of Selling-Price-Dependent Demand for Non-Instantaneous Deteriorating Items during the Pandemic COVID-19

An EOQ Model of Selling-Price-Dependent Demand for Non-Instantaneous Deteriorating Items during the Pandemic COVID-19

Fuzzy inventory model of seasonal deteriorating products with time and price sensitive demand and holding cost under partial backlogged

A Two-Warehouse Inventory Model With Rework Process and Time-Varying Demand

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