Economic order quantity model for growing items with incremental quantity discounts

Sebatjane, Makoena; Adetunji, Olufemi

doi:10.1007/s40092-019-0311-0

Cited by 43 publications

(32 citation statements)

References 24 publications

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“…On the other hand, split linear function can reduce the complexity of the equations and is still able to reflect growth better than the linear one. Sebatjane and Adetunji [10] extended their previous research by taking into account the incremental discount scheme.…”

Section: Literature Reviewmentioning

confidence: 99%

Optimal Replenishment and Breeding Policies for Growing Items

Pourmohammad-Zia

Karimi

2020

Arab J Sci Eng

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This study addresses optimal management policies for an emerging class of inventories which are known as growing items (e.g., fast-growing young animals like poultry). The paper models the inventory system of a rearing farm where newborn animals are bought, raised and finally slaughtered and quality controlled. The negative impact of overbreeding is heeded to preserve the quality of the items and decrease food waste. The slaughtered items are used as final products to satisfy customer demand. The quality degradation of these items is modeled as deterioration. An analytic solution procedure is developed to optimize the purchasing quantity of the newborn animals and their breeding period. The proposed structure is illustrated through experimental results. The results suggest that the breeding period is strongly affected by the pattern of growth and cost factors are not as influential as the parameters of the growth function. This highlights the significance of estimating an accurate growth pattern for the items.

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Section: Literature Reviewmentioning

confidence: 99%

Optimal Replenishment and Breeding Policies for Growing Items

Pourmohammad-Zia

Karimi

2020

Arab J Sci Eng

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“…( 2019 ) extended Rezaei ( 2014 ) model by taking linearly increasing growth function and shortages are fully backordered. After that Sebatjane and Adetunji ( 2019a , b , c ) established an EOQ model for growing items with imperfect quality by assuming a quality screening process in which all the slaughtered items are checked before they are sold out. Khalilpourazari and Pasandideh ( 2019 ) proposed multi item economic order quantity for growing items with a limited management budget and available warehouse space.…”

Section: Literature Surveymentioning

confidence: 99%

“…( 2019 ) investigated the inventory model for growing-mortal in a two-echelon supply chain with a supplier and a farmer. Furthermore, Sebatjane and Adetunji ( 2019a , b , c ) formulated three echelon supply chain inventory model for growing items with farming, processing and retail operations. Hidayat et al ( 2020 ) developed an EOQ model for growing items by considering unlimited capacity and an unlimited budget.…”

Section: Literature Surveymentioning

confidence: 99%

“…( 2016 ) Datta ( 2017 ) Price sensitive Carbon tax Nobil et al . ( 2019 ) Sebatjane and Adetunji ( 2019a , b , c ) Khalilpourazari and Pasandideh ( 2019 ) Malekitabar et al . ( 2019 ) Sebatjane and Adetunji ( 2019a , b , c ) Hidayat et al ( 2020 ) Mishra et al .…”

Section: Literature Surveymentioning

confidence: 99%

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Investigation of carbon emissions due to COVID-19 vaccine inventory

Shah

Patel

Rabari

2021

Int J Syst Assur Eng Manag

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Inventory model for vaccine of COVID-19 pandemic is the subject of analysis in the proposed article. The initial registration for vaccination and vaccination of registered individuals is taken during the period under consideration. The paper considers the utility of vaccine during storage, holding cost, purchase cost, manufacturing cost and inspection cost. A fraction of registered individuals who do not turn up for a vaccination is taken into account. All the actions by the player incur carbon emissions. During the whole procedure of vaccination starting from raw material to end user carbon emissions are observed. Carbon emissions in stocking raw material, during inspection, during purchase activity, during set-up and transportation phase and holding it at point of delivery. Maximum carbon emission of 28% occur during purchase activity followed by 21% during transportation at the point of delivery and stocking it at respective places. To follow green policy, carbon tax is levied. A non-linear formulation of the proposed problem is modelled to compute optimum cycle time without allowing shortages. The convexity of the objective function is established through the numerical data. Analysis of carbon emissions and carbon tax levied is carried out through the data. Research Objective: Carbon Emission is one of a cause for ozone layer depletion. Moreover, it causes many ecological disturbances resulting into several environmental temperature variations. These all problem affect an individual’s health. So, there arise a need to frame a mathematical model to decipher relationship between COVID-19 vaccine inventory and effect of carbon emissions.

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“…In this context, Sebatjane and Adetunji [40] considered three growth functions: logistic, linear, and split linear. In the same year, Sebatjane and Adetunji [41] introduced an economic-order quantity inventory model for growing items with incremental quantity discounts.…”

Section: Introductionmentioning

confidence: 99%

An Inventory Model for Growing Items with Imperfect Quality When the Demand Is Price Sensitive under Carbon Emissions and Shortages

De-la-Cruz-Márquez

Cárdenas–Barrón

Mandal

2021

Mathematical Problems in Engineering

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Nowadays, it is well known that global warming is a great hazard to the planet, and the carbon emissions are a principal source of global warming. For this reason, the customers have become more environment and quality conscious than before, and as a result, they request the firms to be ecofriendly. In this context, it is desirable that companies develop and implement inventory models which consider sustainability issues. Furthermore, the companies face problems of shortages and setting prices in order to persist in a competitive and challenging business. Besides, there exists a kind of items different than the traditional products that it is necessary to feed them until a target weight is reached in order to slaughter and sell to customers. These are named as growing items. In this sense, this research work proposes an inventory model for growing items with imperfect quality when the demand is price sensitive under carbon emissions and shortages. The shortages are fully backordered. The demand is price sensitive according to a polynomial function. The proposed inventory model determines jointly the optimal policy for the selling price of perfect-quality growing items, the order quantity, and the backordering quantity which maximize the expected total profit per unit of time. Some numerical examples are resolved in order to illustrate the use and the applicability of the inventory model. Finally, a sensitivity analysis is conducted and some managerial insights are given.

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Economic order quantity model for growing items with incremental quantity discounts

Cited by 43 publications

References 24 publications

Optimal Replenishment and Breeding Policies for Growing Items

Optimal Replenishment and Breeding Policies for Growing Items

Investigation of carbon emissions due to COVID-19 vaccine inventory

An Inventory Model for Growing Items with Imperfect Quality When the Demand Is Price Sensitive under Carbon Emissions and Shortages

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