Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate

Skouri, K.; Konstantaras, Ioannis; Papachristos, S.; Ganas, Ioannis

doi:10.1016/j.ejor.2007.09.003

Cited by 229 publications

(95 citation statements)

References 29 publications

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“…Manna and Chaudhuri (2006) introduced an EOQ model for items with deterioration and time-dependent demand. An inventory model with Weibull deterioration rate, general ramp type demand rate and partial backlogging, was considered by Skouri et al (2009). Sana (2010b) developed an EOQ model with partial backlogging rate and time varying deterioration.…”

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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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

View full text Add to dashboard Cite

show abstract

“…Chern et al (2008) studied a partial backlogging lot-size model for deteriorating commodities with fluctuating demand. Skouri et al (2009) suggested a model by considering ramp type demand, partial backlogging and Weibull deterioration. Taleizadeh and Pentico (2103) introduced an economic order quantity model with a known price increase and partial backordering.…”

Section: Introductionmentioning

confidence: 99%

Two warehouse inventory policy with price dependent demand and deterioration under partial backlogging

Rastogi¹,

Singh²,

Kushwah³

et al. 2017

10.5267/j.dsl

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In today's era of higher competition in the business, there are many conditions such as offered concession in bulk purchasing, seasonality, higher ordering cost, etc., which force a retailer to purchase more quantities than needed or exceed the storage capacity. So in this situation the retailer has to purchase an extra warehouse named as rented warehouse to stock the extra quantity. In this paper an inventory model for deteriorating products with selling price dependent rate is developed. The occurring shortages are assumed to be partially backlogged and cycle time is also variable. The purpose of the development of this model is to compute the amount and time of order which can optimize the total average cost of the system. A solution procedure and numerical example are presented to illustrate the implementation of the proposed study. Sensitivity analysis concerning with distinct system parameters is also presented to demonstrate the model.

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“…Panda et al (2009) worked on a single-item economic production quantity (EPQ) model with quadratic ramp-type demand function in order to determine the optimal production stopping time. Model of Deng et al (2007) was extended to more general ramp-type demand rate, Weibull distribution deterioration rate, and general partial backlogging rate by Skouri et al (2009). Hung (2011 extended the model of Skouri et al (2009) by applying arbitrary component in ramp-type demand pattern.…”

Section: Introductionmentioning

confidence: 99%

“…Model of Deng et al (2007) was extended to more general ramp-type demand rate, Weibull distribution deterioration rate, and general partial backlogging rate by Skouri et al (2009). Hung (2011 extended the model of Skouri et al (2009) by applying arbitrary component in ramp-type demand pattern. Shah and Shah (2012) studied a joint vendor-buyer strategy for trapezoidal demand which is beneficial to both the players in the supply chain.…”

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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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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Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate

Cited by 229 publications

References 29 publications

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

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

Two warehouse inventory policy with price dependent demand and deterioration under partial backlogging

An EPQ model with trapezoidal demand under volume flexibility

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