Research Article
A Stochastic Model for an Input Control Problem in a Two-Level Supply Chain for Production-Time-Dependent Products with Random Demands
| Q | Input quantity (batch size), decision variable | T | Input interval, decision variable | M | Number of product types | | Time required to produce type-i product (production time) | | Demands for type-i product during | | for all k. Distribution of demand for type-i product | | | | | | | | Number of raw materials (chicks) remaining in the k-th input immediately after time | | Limiting probability of | | Remaining demand for type-i product immediately after (demand not satisfied even with the k-th input product) | | Limiting probability of | | The convolution of that is, | | Limiting probability of | | Cost incurred when the demand for a unit of type-i product is not satisfied | | Cost of disposing one unit of raw material |
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