Net present value analysis of the economic production quantity

53rd Annual OR Society Conference Keynote and Short Papers, Edited by D. Petrovic and A.A. Syntetos, Nottingham, UK, September 6th – 8th, 29 - 34.

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Abstract

Using Laplace transforms and the Lambert W function we obtain an exact solution for the optimal batch quantity that minimizes the Net Present Value of the cash flows in the Economic Production Quantity model.