Approximations for a Fork/Join Station with Inputs from Finite Populations

Two-moment Approximations for Throughput and Mean Queue Length of a Fork/join Station with General Inputs from Finite Populations

Analysis of a Fork/Join Synchronization Station with Inputs from Coxian Servers in a Closed Queuing Network

Fork/join stations are commonly used to model the synchronization constraints in queuing models of computer networks, fabrication/assembly systems and material control strategies for manufacturing systems. This paper presents an exact analysis of a fork/join station in a closed queuing network with inputs from servers with two-phase Coxian service distributions, which models a wide range of var...

Two Moment Approximations for Fork/Join Stations with Applications to Modeling Kanban Systems

In queuing models of kanban systems, fork/join stations are used to model the synchronization constraints between parts and kanbans. Efficient analysis of these fork/join stations is quite crucial to analytical performance evaluation of kanban systems. Exact analysis of the fork/join station can be difficult especially if the input processes have general characteristics. We propose a new method...

An Analytical Approximation for the Throughput of a Closed Fork/Join Network with Multi-Station Input Subnetworks

Fork/join stations are used for modeling synchronization between entities, and fork/join queueing networks are natural models for a variety of communication and manufacturing systems: Parallel computer networks, fabrication/assembly systems, supply chains and material control strategies for manufacturing systems. Exact solutions of general fork/join networks can only be obtained by using numeri...

Analytical Performance Analysis of Kanban Systems Using a New Approximation for Fork/Join Stations

In this paper, we propose a new approximate approach for analyzing queuing models of single stage kanban systems. The approach is based on parametric decomposition technique and two moment approximations. The main building block of our approach is a new two-moment approximation characterizing the performance of fork/join stations fed by general inputs. Using this approximation we develop analyt...