Novel Solution Method for Inventory Models with Stochastic Demand and Defective Units
| Autor: | Henry C. J. Chao, Xu-Ren Luo, Chun-Hsiao Chu |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Sequence
021103 operations research Article Subject Iterative method Computer science General Mathematics 0211 other engineering and technologies General Engineering 02 engineering and technology Construct (python library) Engineering (General). Civil engineering (General) QA1-939 0202 electrical engineering electronic engineering information engineering Limit of a sequence 020201 artificial intelligence & image processing Point (geometry) TA1-2040 Algorithm Mathematics |
| Zdroj: | Mathematical Problems in Engineering, Vol 2020 (2020) |
| ISSN: | 1563-5147 1024-123X |
| DOI: | 10.1155/2020/3528706 |
| Popis: | This paper is a response to two papers. We improve the lengthy proof for the first paper by an elegant verification. For the second paper, we point out the three-sequence approach will result in different convergent rates such that when the other two sequences are converged, the ordering quantity sequence may still not converge to the optimal solution. We construct a novel iterative method to simplify the previous approach proposed by the three-sequence approach for the optimal solution. By the same numerical examples of three published papers, we demonstrate that we can control our findings to converge more accurately than previous results. Moreover, we show that there are three distinct features of our proposed approach. (i) It converges to the desired solution within the preassigned threshold value. (ii) We estimate the convergent ratio. (iii) We find the dominant factors for our proposed convergent sequence. |
| Databáze: | OpenAIRE |
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