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This study introduces a decision-making policy for a two-warehouse system with a non-instantaneous deteriorating product for credit facility with demand depending on the product price. Two different selling prices are considered in the deterioration and non-deterioration periods. Shortages are partially considered and dependent on the duration of the arrival of fresh lot. Alternative trade-credit is applied herein, and several situations are investigated in this approach. The optimization problems of the situations are solved using an interval-oriented multi-section technique via interval mathematics and its order relations. Three numerical examples are studied and solved to validate the said problem.

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