Introduction to operations research, 4th ed.
Introduction to operations research, 4th ed.
An optimal production run time with imperfect production processes and allowable shortages
Computers and Operations Research
Optimal manufacturing batch size with rework process at a single-stage production system
Computers and Industrial Engineering
Applied Stochastic Models in Business and Industry
Optimal production lot sizing with rework, scrap rate, and service level constraint
Mathematical and Computer Modelling: An International Journal
Optimization of the finite production rate model with scrap, rework and stochastic machine breakdown
Computers & Mathematics with Applications
An easy method to derive EOQ and EPQ inventory models with backorders
Computers & Mathematics with Applications
WSEAS Transactions on Information Science and Applications
WSEAS Transactions on Mathematics
AMERICAN-MATH'12/CEA'12 Proceedings of the 6th WSEAS international conference on Computer Engineering and Applications, and Proceedings of the 2012 American conference on Applied Mathematics
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A recent article on optimal replenishment policy of imperfect EMQ model by Chiu [S.W. Chiu, Optimal replenishment policy for imperfect quality EMQ model with rework and backlogging, Applied Stochastic Models in Business and Industry 23 (2007) 165-178], used mathematical modeling and differential calculus to derive the optimal ordering policy that minimizes overall costs. This paper presents a straightforward algebraic approach to replace the use of calculus on the cost function for determining the optimal replenishment solutions as well as the long-run average production-inventory costs for such an imperfect EMQ model. The algebraic method presented in this paper may enable students or practitioners with little or no knowledge of calculus to learn or to manage with ease the real-life manufacturing systems.