Quasi-linear production systems: Optimisation of the transportation system |
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| Institution: | 1. Arizona School of Podiatric Medicine, Glendale, AZ, USA;2. Private Practice, Summit Medical Group, Glendale, AZ, USA;3. Arizona School of Podiatric Medicine, Midwestern University, Glendale, AZ, USA;4. Private Practice, Summit Medical Group, 5620 West Thunderbird Road Suite G-2, Glendale, AZ 85306, USA;5. Podiatric Medicine and Surgery with Rearfoot Reconstruction and Ankle Certificate, Chino Valley Medical Center, 5451 Walnut Avenue, Chino, CA 91710, USA;6. PMSR/RRA Podiatric Residency, Western University College of Podiatric Medicine, Chino Valley Medical Center, 309 East Second Street, Pomona, CA 91766, USA |
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| Abstract: | This paper is devoted to the quasi-linear production systems under the following additional hypothesis: - 1.1. There exists a loading sequence which gives the input order of the parts of the system.
- 2.2. There exists, for each machine, a processing sequence which gives the order for manufacturing the parts.
- 3.3. The transportation system uses carts. A cart is a transportation unit able to carry one part for a machine to another. The parts are loaded on the carts before entering the system and unloaded when the manufacture of the part is finished.
We give an algorithm which leads to the minimal number of carts needed in order to reach the maximal production rate, the loading and processing sequences being known. We also characterize the optimal solution in the case of equal processing times. |
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