Determining Customer Delay in an M/G/∞ Exchangeable Item Repair System with Spares
نویسنده
چکیده
We consider an M/G/∞ exchangeable-item repair system with spares and ample servers to which arriving customers bring groups of random size B identical items for repair. An exact formula for the waiting time distribution and a computationally efficient approximation are presented for this system. From this, we not only have the standard fillrate, but a practical extension of this concept to a 'fillrate window', which provides the probability of filling an order within a specified acceptable period of time. The model solution can be used not only for a one-echelon system, but for multi-echelon systems as well, where the waiting-time distribution obtained for any echelon k is used to calculate the repair-time distribution of lower echelon k-1, until the customer delay at level 1 (the fillrate window) is determined. Finally, some numerical examples are added to show the sensitivity of its various system parameters to variations in the number of spares for different forms of bulk size B.
منابع مشابه
Multi-echelon Exchangeable-item Repair System Optimization
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