2013
DOI: 10.1093/imaman/dpt002
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Net present value analysis of the economic production quantity

Abstract: Using Laplace transforms we extend the Economic Production Quantity (EPQ) model by analysing cash flows from a Net Present Value (NPV) viewpoint. We obtain an exact expression for the present value of the cash flows in the EPQ problem. From this we are able to derive the optimal batch size. We obtain insights into the monotonicity and convexity of the present value of each of the cash flows, and show that there is a unique minimum in the present value of the sum of the cash flows in the extended EPQ model. We … Show more

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Cited by 6 publications
(4 citation statements)
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“…Accordingly, if the cost of the initial battery is C 1 bat , cost of the secondary battery would be C 2 bat . With M as the lifetime of the initial batteries, the present worth of battery investment cost is as follows (Disney et al, 2013):…”
Section: System Costs 221 Investment Costsmentioning
confidence: 99%
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“…Accordingly, if the cost of the initial battery is C 1 bat , cost of the secondary battery would be C 2 bat . With M as the lifetime of the initial batteries, the present worth of battery investment cost is as follows (Disney et al, 2013):…”
Section: System Costs 221 Investment Costsmentioning
confidence: 99%
“…The total annual operation and maintenance costs of a PVbattery system are an annuity and they need to be converted to the present worth as follows (Disney et al, 2013):…”
Section: Operation Maintenance and Insurance Costsmentioning
confidence: 99%
“…[16] concluded that the NPV has been widely used in several investment planning models. [17] enhanced the economic production quantity (EPQ) model by using Laplace transformation, analyzing cash flows from a NPV viewpoint and obtained an exact expression for the PV of the cash flows in the EPQ problem. [18] developed an alternative approach to conceptual design where a compound objective function based on the NPV and IRR aggregate performance metrics.…”
Section: Feasibility Studies Measuresmentioning
confidence: 99%
“…[22], Van der Laan. [23], Disney et al [24] and Lin et al [25] highlight the importance of the time value of money. Therefore, taking the net present value into account is necessary in the analysis of manufacturer, agent and customer costs.…”
Section: Introductionmentioning
confidence: 99%