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Technical note: The EOQ and EPQ models with shortages derived without derivatives

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References

1985Economic Order Quantity under Conditions of Permissible Delay in Payments1,275 cited
1997International encyclopedia of business and management247 cited
2003The optimal cycle time for EPQ inventory model under permissible delay in payments241 cited
2001The economic production quantity (EPQ) with shortage derived algebraically215 cited
1999The EOQ with backlogging derived without derivatives197 cited
1999Deteriorating inventory model with quantity discount, pricing and partial backordering195 cited
2003An inventory model with deteriorating items, quantity discount, pricing and time-dependent partial backlogging168 cited

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2004Short comments on technical note—The EOQ and EPQ models with shortages derived without derivatives70 cited
2006A note on how to compute economic order quantities without derivatives by cost comparisons52 cited
2006Analysis of postponement strategy by EPQ-based models with planned backorders44 cited
2008A modified method to compute economic order quantities without derivatives by cost-difference comparisons39 cited
2007Technical note: A use of the complete squares method to solve and analyze a quadratic objective function with two decision variables exemplified via a deterministic inventory model with a mixture of backorders and lost sales38 cited
2011Model and heuristic algorithm of the joint replenishment problem with complete backordering and correlated demand

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37 cited

2008A general model forEOQinventory systems with partial backlogging and linear shortage costs26 cited

2020A simple derivation of the optimal solution for the EOQ model for deteriorating items with planned backorders25 cited

2013Optimal lot size for a production–inventory system with partial backlogging and mixture of dispatching policies24 cited

2009Fuzzy EPQ inventory models with backorder24 cited

2013Solving a finite horizon EPQ problem with backorders22 cited

2009An integrated production-inventory system in a multi-stage multi-firm supply chain21 cited

2013Generalized EOQ formula using a new parameter: Coefficient of backorder attractiveness21 cited

2010An alternative approach to analyze economic ordering quantity and economic production quantity inventory problems using the completing the square method19 cited

2007Using the complete squares method to analyze a lot size model when the quantity backordered and the quantity received are both uncertain19 cited

2007Note on inventory model with net present value17 cited