An Order Level Inventory Model for Deteriorating Items with Time – Quadratic Demand and Partial Backlogging

Jagadeeswari, J.; Chenniappan, P. K.

doi:10.12691/jbms-2-3-3

Cited by 4 publications

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“…http://www.ijmttjournal.org Page 247 Using the boundary condition the solution of the equation 1is (4) Similarly, the solution of equation 2is given by (Neglecting higher powers of θ) (where which is obtained using In equations (4) and (5) values of and should coincide at , which implies that 6The total cost comprises of following costs…”

Section: Issn: 2231-5373mentioning

confidence: 99%

“…Dye and Hsieh [2] presented an extended model of Hsu et al [4] by assuming that the preservation technology cost is a function of the length of replenishment cycle. J. Jagadeeswari and P. K. Chenniappan [5] developed an order level inventory model for deteriorating items with time-quadratic demand and partial backlogging. Sarala Pareek and Garima Sharma [11] developed an inventory model with Weibull distribution deteriorating item with exponential declining demand and partial backlogging.…”

Section: Introductionmentioning

confidence: 99%

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EOQ model for controllable deterioration rate and time dependent demand and Inventory holding cost

Palani¹,

Maragatham²

2016

IJMTT

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In this paper, we have developed a deterministic inventory model for deteriorating items in which demand rate and holding cost are quadratic and linear function of time. During deterioration period, deterioration rate can be controlled using preservation technology (PT). An exponential distribution is used to represent the distribution of time to deterioration. The derived model is illustrated by a numerical example.

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Section: Issn: 2231-5373mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

EOQ model for controllable deterioration rate and time dependent demand and Inventory holding cost

Palani¹,

Maragatham²

2016

IJMTT

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“…Hsu and Hsu [2] came up with an inventory model in which screening for imperfect quality items has been done for several number of times and shortages area allowed and are completely backlogged. Jagadeeswari and Chenniappan [3] contributed an inventory model for items that are deteriorating in which shortages are backloggedpartially. The inventory model developed by Khanna et al [4] dealt with imperfect quality items with degeneration in which shortages are backlogged.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy inventory model with allowable shortages and backorder

Zita¹

2020

Malaya J. Mat

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In this paper, we are going to exhibit an inventory model in which shortages are permitted and that can be completely replaced. The model is derived to compute the economic order quantity and to minimize the total cost. To get the optimal solution closer to the reality, the fuzzy techniques are applied. We use the octagonal fuzzy numbers to fuzzify the inventory quantities like ordering cost, holding cost and backorder cost. The ranking function of octagonal fuzzy numbers is used here for defuzzification. The optimal solutions are verified with the help of numerical illustrations.

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“…Hsu and Hsu [8] considered the inventory model with multiple screening for items of imperfect quality and shortages backordered. Jagadeeswari and Chenniappan [9] extended an inventory model by taking quadratic time dependent demand for deteriorating items with shortages are partially backlogged. Khanna et al [10] developed an inventory model for items of imperfect quality with deterioration under trade-credit policies having selling price dependent demand and shortages which are fully backlogged.…”

Section: Introductionmentioning

confidence: 99%

A fuzzy inventory model with imperfect items and backorder with allowable proportionate discount

Patro¹,

Acharya²,

Nayak³

et al. 2018

MMC_D

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This paper presents both crisp and fuzzy EOQ models for defective items present in each lot when shortages are allowed and backorder takes place. The aim of the work is to first construct an optimal order quantity for the crisp case and then to develop the corresponding fuzzy model. In contrast to the previous inventory models, an allowable proportionate discount is incorporated for the defective items present in each lot to provide a general framework to the model. The aim of the present paper is to find the optimal order size and the expected shortage level so as to obtain the optimum total profit for both the models. The necessary and sufficient conditions for the existence and uniqueness of the optimal solutions are derived and it is also shown that under certain conditions the crisp model boils down the traditional EOQ backorder formula. For the fuzzy case, triangular fuzzy numbers are used for the defective rates and for defuzzification signed distance method is used. Finally, numerical example is provided to illustrate the solution procedure and sensitivity analysis is performed on the results to analyze the effect of the variations taken place for the parameters involved in the model.

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An Order Level Inventory Model for Deteriorating Items with Time – Quadratic Demand and Partial Backlogging

Cited by 4 publications

References 0 publications

EOQ model for controllable deterioration rate and time dependent demand and Inventory holding cost

EOQ model for controllable deterioration rate and time dependent demand and Inventory holding cost

Fuzzy inventory model with allowable shortages and backorder

A fuzzy inventory model with imperfect items and backorder with allowable proportionate discount

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