Solving Semi-Open Queuing Networks
Jing Jia () and
Sunderesh S. Heragu ()
Additional contact information
Jing Jia: Barclays Bank of Delaware, Wilmington, Delaware 19801
Sunderesh S. Heragu: Department of Industrial Engineering, University of Louisville, Louisville, Kentucky 40292
Operations Research, 2009, vol. 57, issue 2, 391-401
Abstract:
A semi-open queuing network (SOQN) is a special type of a queuing network consisting of two parts: an inner network with a population constraint and an external queue to accommodate jobs whose entrance is delayed. We first study an SOQN with a single class of jobs in tandem configuration and then extend our study to multiclass configurations. Multiclass SOQNs fall into two categories: general pallet and dedicated pallet SOQNs. For the general pallet case, we aggregate all classes and solve the resulting single-class SOQN. For the dedicated pallet case, we construct a method based on an existing product-form approximation method for general, multiclass closed networks. Our approximation method combines the matrix-geometric method with the decomposition-aggregation approach. Numerical results show that our approximations have desirable accuracy and efficiency.
Keywords: semi-open queuing network; multiple class; general pallet; dedicated pallet; tandem line; matrix-geometric method; experimental results (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (22)
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:57:y:2009:i:2:p:391-401
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