POM Inventory Management Batch Size Modeling In A Multi-Item, Discrete Manufacturing System Via An Open Queuing Network
| Batch Size Modeling In A Multi-Item, Discrete Manufacturing System Via An Open Queuing Network |
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Batch Size Modeling In A Multi-Item, Discrete Manufacturing System Via An Open Queuing Network
Gang Meng
Praxair, Inc.
Tonawanda, NY 14151
Sunderesh S. Heragu
Department of Decision Sciences and Engineering Systems
Rensselaer Polytechnic Institute
Troy, NY 12180
IM 21
Abstract
Whitt’s (1983) open queuing network analyzer (QNA) has been used in different application areas, such as communication system and discrete parts manufacturing system.
It uses the parametric decomposition method to approximately calculate the performance measures.
The core of the method involves solving two systems of linear equations to calculate the first two
moments of effective arrival rate and service time.
In this paper, we consider the effects of batch size on the parametric decomposition procedure of QNA and modify the two sets of linear equations accordingly.
The concept of relative batch size is proposed for the purpose of modeling the effects of batch size. Experimental results are shown to illustrate the effectiveness of the method.
Keywords: Open queuing network, batch size, performance analysis |
