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n Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie - Optimale toewysing en skedulering van werkers en take op 'n monteerbaan s

Volume 28, Issue 1
  • ISSN : 0254-3486
  • E-ISSN: 2222-4173

Abstract

Die optimale aanwending van kruisopgeleide werkslui in 'n produksielyn word ondersoek. Kruisopgeleide werkslui het die vermoë om haas enige taak in die produksieproses te verrig. 'n Wiskundige model om die optimale toewysing van werkers aan take te bepaal, word geformuleer. Die invloed van vaardige of onvaardige tydelike werkslui op die produksielyn word ook ondersoek. Die finale model neem verskeie doelwitte in ag. In die eerste fase word 'n nutsfunksie van produksie gemaksimeer terwyl werkers aan take toegewys word. Daarmee saam word die verbetering van die werkers se vaardigheidsvlakke gemaksimeer terwyl die effek van die leer en vergeet van vaardighede in ag geneem word. Die arbeidskoste van produksie word ook geminimeer terwyl die tipe werkers en die manier waarop hulle aangestel en afgelê moet word, bepaal word. Laastens word die totale produksietyd geminimeer terwyl die optimale volgorde van die take in die produksieproses bepaal word. Die praktiese bruikbaarheid van die model word ook met behulp van 'n gevallestudie gedemonstreer.


In this paper the assignment of cross-trained and temporary workers to tasks on an assembly line is investigated. Cross-trained workers are skilled to perform more than one task on the assembly line in the production process. Temporary workers are viewed as either trained or untrained and may be hired or laid off as required. The solution procedure may be divided into three parts. During the first part a model is formulated to determine an optimal assignment of the workers to the production tasks.
During the second part the model is extended to determine the effect of the assignment of both trained and untrained temporary workers to the tasks on the assembly line. During the final part of the model an optimal sequence of tasks in the assembly line is determined that minimises the resulting execution times of these tasks. During the first part the objective is to maximise the total production utility. This is achieved by implementing a two-phase model. The first phase maximises the utility of production by minimising labour shortage in the assembly line. During the second phase the improvement of the workers' levels of skill is maximised while the effect of the learning and forgetting of skills is taken into consideration. A learn-forget-curve model (LFCM) is implemented to model the effect of this human characteristic on the master model. This approach ensures that the advantageous cross-trained nature of the workers is maintained and optimized, without a large deviation from the solution determined by the first phase.

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/content/aknat/28/1/EJC20442
2009-12-01
2019-10-16

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