Economic Order Quantity model with Weibull deterioration distribution, shortage and ramp-type demand

Giri, Bibhas C.; Jalan, A. K.; Chaudhuri, Kripasindhu

doi:10.1080/0020772131000158500

Cited by 133 publications

(51 citation statements)

References 18 publications

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“…Deng et al (2007) focussed on the doubtful results found by Mandal and Pal (1998) and Wu and Ouyang (2000) and obtained a more consistent solution. Panda et al (2008Panda et al ( , 2009 extended Giri et al's (2003) one-fold demand model to two-fold demand. Model studied by Hill (1995) was extended to trapezoidal-type demand rate by Cheng and Wang (2009).…”

Section: Introductionmentioning

confidence: 99%

“…After that, Wu (2001) developed a model for deteriorating items with ramp-type demand and partial backlogging. Giri et al (2003) extended ramp-type demand inventory model with more general Weibull distribution deterioration rate. Manna and Chaudhuri (2006) studied an EPQ model with ramp-type two time periods categorized demand pattern assuming demand dependent production.…”

Section: Introductionmentioning

confidence: 99%

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An EPQ model with trapezoidal demand under volume flexibility

Dem¹,

Singh²,

Kumar³

2013

10.5267/j.ijiec

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In this paper, we explored an economic production quantity model (EPQ) model for finite production rate and deteriorating items with time-dependent trapezoidal demand. The objective of the model under study is to determine the optimal production run-time as well as the number of production cycle in order to maximize the profit. Numerical example is also given to illustrate the model and sensitivity analyses regarding various parameters are performed to study their effects on the optimal policy.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An EPQ model with trapezoidal demand under volume flexibility

Dem¹,

Singh²,

Kumar³

2013

10.5267/j.ijiec

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“…Deterioration rate of the items is directly proportional to the maximum life time, which may be controlled the maximum life time of the produced items. An inventory model with shortage, ramp-type demand rate and time dependent deterioration rate was discussed by Giri et al (2003). Manna and Chaudhuri (2006) introduced an EOQ model for items with deterioration and time-dependent demand.…”

Section: Introductionmentioning

confidence: 99%

A non-instantaneous inventory model having different deterioration rates with stock and price dependent demand under partially backlogged shortages

Mashud¹,

Khan²,

Uddin³

et al. 2018

10.5267/j.uscm

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This study is an inventory model with consideration of price, stock dependent demand, partially backlogged shortages, and two constant deterioration rates. In this model, demand function depends on price and stock while during the shortage time, demand depends only on price of the product. The deterioration is taken into account as a non-instantaneous, once the item is stocked in retailer's house, any time deterioration can start with a constant rate for a certain period, then this deterioration rate increases. Shortages are allowed and it is partially backlogged. The corresponding inventory problem constitutes a non-linear constraint optimization problem. Here this problem has been solved using Lingo 15 software and also give 3D graph with the help of MATLAB2010a to show the convexity of the objective function. Finally, to illustrate and validate the inventory model, a numerical example is used considering fixed price. To study the effect of changes of different inventory parameters, a sensitivity analysis has been carried out changing one parameter at a time holding other parameters unchanged.

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“…Wu (2001) investigated an inventory model with ramp type demand rate, Weibull distributed deterioration rate and partial backlogging. Giri et al (2003) extended the ramp type demand inventory model with a more generalized Weibull deterioration distribution. Deng et al (2007) revisit the inventory model considered by Mandal and Pal (1998) and Wu and Ouyang (2000).…”

Section: Introductionmentioning

confidence: 99%

Supply chain management under the effect of trade credit for deteriorating items with ramp-type demand and partial backordering under inflationary environment

Shastri¹,

Singh²,

Gupta³

2015

10.5267/j.uscm

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In this paper, a supply chain inventory model is developed in inflationary environment by incorporating some realistic features such as ramp type demand, deterioration, partial backlogging, inflation, and trade credit. Here, rate of deterioration is linear and partial backlogging rate is variable and dependent on the waiting time for the next replenishment. Depending on the trade credit period, three different situations arise. For each model the optimal replenishment policy is determined. Numerical examples are provided to illustrate the proposed inventory model and sensitivity analyses of optimal solutions are given for each case of trapezoidal demand function.Growing Science Ltd. All rights reserved. 5

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Economic Order Quantity model with Weibull deterioration distribution, shortage and ramp-type demand

Cited by 133 publications

References 18 publications

An EPQ model with trapezoidal demand under volume flexibility

An EPQ model with trapezoidal demand under volume flexibility

A non-instantaneous inventory model having different deterioration rates with stock and price dependent demand under partially backlogged shortages

Supply chain management under the effect of trade credit for deteriorating items with ramp-type demand and partial backordering under inflationary environment

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