The economic production quantity (EPQ) with shortage derived algebraically
2001; Elsevier BV; Volume: 70; Issue: 3 Linguagem: Inglês
10.1016/s0925-5273(00)00068-2
ISSN1873-7579
AutoresLeopoldo Eduardo Cárdenas‐Barrón,
Tópico(s)Supply Chain and Inventory Management
ResumoPreviously, in several papers and textbooks, the classical economic order quantity (EOQ) and the economic production quantity (EPQ) formulas for the shortage case, have been derived using differential calculus and solving two simultaneous equations (derived from setting the two first partial derivatives to zero) with the need to prove optimality conditions with second-order derivatives. In a previous original piece of work, a new approach to find the EOQ with backlogging using some slight algebraic developments appeared. This paper extends the mentioned algebraic approach to the EPQ formula taking shortages into consideration within the case of only one backlog cost per unit and time unit. The final expressions provide the same formulas that are available in the classic textbooks on inventory theory.
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