Backlogging EOQ model for promotional effort and selling price sensitive demand- an intuitionistic fuzzy approach

De, Sujit Kumar; Sana, Shib Sankar

doi:10.1007/s10479-013-1476-3

Cited by 69 publications

(23 citation statements)

References 40 publications

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“…Khanra et al [13] dealt with a comparison between inventory followed by shortages model and shortages followed by inventory model with variable demand rate and assumed that the stock deteriorates over time which follows a two parameter Weibull distribution. De and Sana [8] investigated an intuitionistic fuzzy economic order quantity inventory model with backlogging. Sana and Goyal [22] dealt with an economic order quantity model for variable lead-time, order dependent purchasing cost, order size, reorder point and lead-time dependent partial backlogging.…”

Section: Related Workmentioning

confidence: 99%

A Net Present Value Approach in Developing Optimal Replenishment Policies with Allowable Shortages for a Product Life Cycle

Weng

2015

Int. J. Appl. Comput. Math

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In this paper, we utilize a net present value approach to devise replenishment policy with allowable shortages in the finite planning horizon by considering a general, time-varying, continuous, deterministic demand function for a product life cycle. We consider four possible alternatives for the inventory problem in the shortage models. (1) It starts with an instant replenishment and ends with zero inventories, (2) It starts with an instant replenishment and ends with shortages, (3) It starts with shortages and ends with zero inventories, or (4) It starts and ends with shortages. We investigate the optimal number of inventory replenishments, the corresponding optimal inventory replenishment time points and the shortage time points and analytically compare these four inventory models based on minimizing the total relevant cost. A complete search procedure is developed to find the optimal solution by employing the properties derived in this paper and the well-known Nelder-Mead algorithm. Also, several numerical examples are carried out to illustrate the features of these models by utilizing the search procedure developed in this paper. Then various models are analytically compared, and identified the best alternative among them based on minimizing total relevant costs. The ith beginning time point of shortage, i = 1, 2, . . . , n (decision variables) (time point) α, β the constant parameters for the revised Beta distribution demand function f (t) the demand function at time t, and 0 ≤ t ≤ H, as shown in Eq. (1) Keywords

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Section: Related Workmentioning

confidence: 99%

A Net Present Value Approach in Developing Optimal Replenishment Policies with Allowable Shortages for a Product Life Cycle

Weng

2015

Int. J. Appl. Comput. Math

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“…De and Sana [14] [15] have developed a backlogging EOQ model under intuitionistic fuzzy set (IFS) using the score function of the objective function. De et al [11] have applied the IFS technique via interpolating by pass to develop a backorder EOQ model.…”

Section: Introductionmentioning

confidence: 99%

Two decision makers’ single decision over a back order EOQ model with dense fuzzy demand rate

Maity

Pal

2018

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In this article we develop an economic order quantity (EOQ) model with backlogging where the decision is made jointly from two decision maker supposed to view one of them as the industrialist (developer) and the other one as the responsible manager. The problem is handled under dense fuzzy environment. In fuzzy set theory the concept of dense fuzzy set is quite new which is depending upon the number of negotiations/ turnover made by industrial developers with the supplier of raw materials and/or the customers. Moreover, we have discussed the preliminary concept on dense fuzzy sets with their corresponding membership functions and appropriate defuzzification method. The numerical study explores that the solution under joint decision maker giving the finer optimum of the objective function. A sensitive analysis, graphical illustration and conclusion are made for justification the new approach.

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“…An interval-valued IFS was developed by Atanassov and Gargov (1989) and solution of a probabilistic fixed-order interval system was analysed by Banerjee and Roy (2010b). De and Sana (2013a) developed a backlogging model under IFS using the score value of the objective function. De, Goswami, and Sana (2014) studied an EOQ model with backorder considering the interpolating by pass technique over the pareto optimality in intuitionistic fuzzy technique.…”

Section: Introductionmentioning

confidence: 99%

A deteriorating EOQ model for natural idle time and imprecise demand: hesitant fuzzy approach

Karmakar

Goswami

2015

International Journal of Systems Science: Operations & Logi

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This paper deals with managerial decision-making for a deteriorating economic order quantity (EOQ) inventory model for natural idle time and imprecise demand under hesitant fuzzy environment. Also, the unavoidable situations like deterioration of the items and impreciseness of the demand rate are considered. However, the inventory processing time itself splits into a specific emergent natural idle time, a finite opening time and closing time as well. Again to select the best alternative, a decision-maker will have to think of different attributes of a particular commodity for which all parameters differ anonymously. In fuzzy environment, several articles are available in the literature but the inclusion of hesitant fuzzy set in inventory management problem is quite new. Here we have developed a hesitant fuzzy decision matrix first, and then some aggregation operators like hesitant fuzzy weighted geometric (HFWG), hesitant fuzzy geometric (HFG), hesitant fuzzy Einstein weighted geometric (HFEWG) and hesitant fuzzy Einstein ordered weighted geometric (HFEOWG) have been used to derive the score values of each alternative and rank them. Finally, the decision is compared with that of fuzzy optimal solutions and ends with a conclusion keeping some scope of future works.

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Backlogging EOQ model for promotional effort and selling price sensitive demand- an intuitionistic fuzzy approach

Cited by 69 publications

References 40 publications

A Net Present Value Approach in Developing Optimal Replenishment Policies with Allowable Shortages for a Product Life Cycle

A Net Present Value Approach in Developing Optimal Replenishment Policies with Allowable Shortages for a Product Life Cycle

Two decision makers’ single decision over a back order EOQ model with dense fuzzy demand rate

A deteriorating EOQ model for natural idle time and imprecise demand: hesitant fuzzy approach

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