Inventory model with a mixture of back orders and lost sales

Padmanabhan, G.; Vrat, Prem

doi:10.1080/00207729008910488

Cited by 35 publications

(27 citation statements)

References 3 publications

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“…They model a continuous review inventory system with deterministic demand characterized by a backorder rate that is a decreasing linear function of the length of the stock-out period. Chu et al (2004) then improve upon the solution procedure of Padmanabhan and Vrat (1990) by establishing necessary conditions for the existence and uniqueness of the optimal solution. San José et al (2005) account for the fact that there exists a threshold such that once the magnitude of the shortage exceeds the threshold, then it is certain that shortages will incur lost sales penalties as opposed to being backlogged.…”

Section: Time-dependent Partial Backlogging Onlymentioning

confidence: 98%

Advanced supply chain planning with mixtures of backorders, lost sales, and lost contract

Lodree

2007

European Journal of Operational Research

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Section: Time-dependent Partial Backlogging Onlymentioning

confidence: 98%

Advanced supply chain planning with mixtures of backorders, lost sales, and lost contract

Lodree

2007

European Journal of Operational Research

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“…Kim and Park [2] considered a continuous review system with constant lead-time where a fraction of the unfilled demand was backordered and the backorder cost was assumed to be proportional to the length of the shortage period. Padmanabhan and Vrat [3] developed an inventory model with a mixture of backorders and lost sales such that the backlogged demand rate was dependent upon the negative inventory level during the stock out period. Raafat et al [4] also derived an alternative method for finding the optimal replenishment schedule for Mak's [5] model in which an inventory model with Weibull distributed deterioration and backlogging is considered.…”

Section: Introductionmentioning

confidence: 99%

Research note on the criteria for the optimal solution of the inventory model with a mixture of partial backordering and lost sales

Yang

Chou

Hung

et al. 2008

Applied Mathematical Modelling

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Perishable products are commonly seen in inventory management. By allowing shortages and backlogging, the impact on the cost from the decay of the products can be balanced out. In a recent paper published in Computers and Industrial Engineering [P.L. Abad, Optimal lot size for a perishable good under conditions of finite production and partial backordering and lost sale, Comput. Ind. Eng. 38 (2000) 457-465] considered a problem in such context. However, his algorithm was incomplete due to flaws in his solution procedure. The purpose of this note is to explore the same production inventory models with a mixture of partial backordering and lost sales for deteriorated items. We find the criteria for the optimal solution for different cases and derive a formulated minimum value. By theoretical analysis, we develop a few lemmas to reveal parameter effects and optimal solution procedure. The solutions are illustrated by solving the same examples from Abad's paper to illustrate the accuracy and completeness of our procedure.

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“…Partial backordering Mak (1987) Considers backordered fraction as an uncertain parameter Abad (1996Abad ( , 2000Abad ( , 2001Abad ( , 2003Abad ( , 2008, San José et al (2007), S. Papachristos and Skouri (2000) Dependence of backordered fraction on the replenish time Vrat and Padmanabhan (1990), Padmanabhan and Vrat (1995), Ouyang et al (2003), Chu and Chung (2004), and Dye et al (2006) more than p 2 . Another assumption is related to the customers.…”

Section: Skouri Et Al (2014) Full Inspectionmentioning

confidence: 99%

Economic order quantity with partial backordering and sampling inspection

Taleizadeh

Dehkordi

2017

J Ind Eng Int

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To access the efficient inventory system, managers should consider all the situations that have happened in reality. One of these situations is the presence of the defective items in each received lot and the other situation is being the group of customers that do not wait to fulfill their requirements from the vendor and choose another one to get their orders so the proportion of the backordered items becomes lost sales. In this paper we consider both mentioned situations simultaneously to model the inventory system while the proportion of backordering is constant and the imperfect rate follows a uniform distribution, also the particular sampling process is considered that is explained in detail in ''Problem definition''. Our purpose in this paper is to access the optimum value for the total revenue in a year by a particular solution method that is provided in ''Solution method''. After these sections we provide the numerical results in ''Numerical result'' to show the effect of sensitive parameters on the decision variables and the total profit.

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Inventory model with a mixture of back orders and lost sales

Cited by 35 publications

References 3 publications

Advanced supply chain planning with mixtures of backorders, lost sales, and lost contract

Advanced supply chain planning with mixtures of backorders, lost sales, and lost contract

Research note on the criteria for the optimal solution of the inventory model with a mixture of partial backordering and lost sales

Economic order quantity with partial backordering and sampling inspection

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