IEEE Transactions on Software Engineering
Qualitative and quantitative analysis of business workflows using generalized stochastic Petri nets
CON '94 Proceedings of the ninth Austrian-informatics conference on Workflow management : challenges, paradigms and products: challenges, paradigms and products
Business process redesign: a Petri-net-based approach
Computers in Industry - Special double issue: WET ICE '95
Modeling and Analysis of Workflows Using Petri Nets
Journal of Intelligent Information Systems - Special issue on workflow management systems
Verification of workflow task structures: A petri-net-based approach
Information Systems
Analyzing process models using graph reduction techniques
Information Systems - The 11th international conference on advanced information systems engineering (CAiSE*
A timed workflow process model
Journal of Systems and Software
Improving the performance of time-constrained workflow processing
Journal of Systems and Software
Performance Analytic Models and Analyses for Workflow Architectures
Information Systems Frontiers
EDBT '00 Proceedings of the 7th International Conference on Extending Database Technology: Advances in Database Technology
Linear Temporal Inference of Workflow Management Systems Based on Timed Petri Nets Models
EDCIS '02 Proceedings of the First International Conference on Engineering and Deployment of Cooperative Information Systems
Performance Equivalent Analysis of Workflow Systems Based on Stochastic Petri Net Models
EDCIS '02 Proceedings of the First International Conference on Engineering and Deployment of Cooperative Information Systems
Time Constraints in Workflow Systems
CAiSE '99 Proceedings of the 11th International Conference on Advanced Information Systems Engineering
Using Formal Analysis Techniques in Business Process Redesign
Business Process Management, Models, Techniques, and Empirical Studies
Dynamic Verification of Temporal Constraints in Production Workflows
ADC '00 Proceedings of the Australasian Database Conference
International Journal of Intelligent Systems
Specification and validation of process constraints for flexible workflows
Information Systems
Deadline-based escalation in process-aware information systems
Decision Support Systems
Dwelling time probability density distribution of instances in a workflow model
Computers and Industrial Engineering
A workflow net similarity measure based on transition adjacency relations
Computers in Industry
ePERT: extending PERT for workflow management systems
ADBIS'97 Proceedings of the First East-European conference on Advances in Databases and Information systems
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Timing constraint workflow nets for workflow analysis
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Performance modeling and analysis of workflow
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Fuzzy Performance Evaluation of Workflow Stochastic Petri Nets by Means of Block Reduction
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Dynamic Checking and Solution to Temporal Violations in Concurrent Workflow Processes
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
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Workflow model performance analysis plays an important role in the research of workflow techniques and efficient implementation of workflow management. Instances dwelling times (IDT) which consist of waiting times and handle times in a workflow model is a key performance analysis goal. In a workflow model the instances which act as customers and the resources which act as servers form a queuing network. Multidimensional workflow net (MWF-net) includes multiple timing workflow nets (TWF-nets) and the organization and resource information. This paper uses queuing theory and MWF-net to discuss mean value and probability distribution density function (PDDF) of IDT. It is assumed that the instances arrive with exponentially distributed inter-arrival times and the resources handle instances within exponentially distributed times or within constant times. First of all, the mean value and PDDF of IDT in each activity is calculated. Then the mean value and PDDF of IDT in each control structure of a workflow model is computed. According to the above results a method is proposed for computing the mean value and PDDF of IDT in a workflow model. Finally an example is used to show that the proposed method can be effectively utilized in practice.