Multi-product, multi-venders inventory models with different cases of the rational function under linear and non-linear constraints via geometric programming approach
| Autor: | Mona F. El-Wakeel, Reem Suliman Al Salman |
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| Rok vydání: | 2019 |
| Předmět: |
Mathematical optimization
Multidisciplinary Total cost Probabilistic logic Holding cost 02 engineering and technology Rational function 010501 environmental sciences 021001 nanoscience & nanotechnology 01 natural sciences Constraint (information theory) Nonlinear system Limit (mathematics) 0210 nano-technology Geometric programming 0105 earth and related environmental sciences Mathematics |
| Zdroj: | Journal of King Saud University - Science. 31:902-912 |
| ISSN: | 1018-3647 |
| Popis: | This research deal the probabilistic multi-product multi-vendor inventory model include varying order cost and zero lead-time under linear and non-linear constraints for the number of periods N rs , the first linear constraint on the expected holding cost, the second nonlinear constraint on the buffer stock and the third linear constraint on the storage space. The goal is to limit the expected holding cost by an upper limit k 1 , the limit for the buffer stock by an upper limit k 2 and the limit for the storage space by an upper limit k 3 . The searchers’ aim is to determine the minimum expected total cost, the optimal number of period N rs ∗ and the optimal maximum inventory level Q mrs ∗ by using a geometric programming approach. Then, applying the results of the models by a numerical example and graphs. Also, two special cases are deduced. |
| Databáze: | OpenAIRE |
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