Fundamentals of queueing theory (2nd ed.).
Fundamentals of queueing theory (2nd ed.).
A characterization of the extension principle
Fuzzy Sets and Systems - Special issue: Dedicated to the memory of Richard E. Bellman
Single value simulation of fuzzy variables
Fuzzy Sets and Systems
Elementary queueing theory based on possibility theory
Fuzzy Sets and Systems
Analysis and simulation of fuzzy queues
Fuzzy Sets and Systems - Special issue on industrial engineering methods
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Parametric programming to the analysis of fuzzy queues
Fuzzy Sets and Systems
Applications of possibility and evidence theory in civil engineering
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - special issue on models for imprecise probabilities and partial knowledge
Admission control policies for two-stage tandem queues with no waiting spaces
Computers and Operations Research
Transient handover blocking probabilities in road covering cellular mobile networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
Optimization of tandem queue systems with finite buffers
Computers and Operations Research
Tandem fluid queues fed by homogeneous on-off sources
Operations Research Letters
A tandem queueing model with coupled processors
Operations Research Letters
A matrix-geometric approximation for tandem queues with blocking and repeated attempts
Operations Research Letters
EVALUATING PERFORMANCE OF FLOW LINE SYSTEMS WITH BLOCKING UNDER FUZZY ENVIRONMENTS
Cybernetics and Systems
Simulation for queueing systems under fuzziness
International Journal of Systems Science
| Hi-index | 0.00 |
Tandem queueing models play an important role in many real world systems such as computer systems, production lines, and service systems. This paper proposes a procedure to construct the membership functions of the performance measures in tandem queueing systems, in that the arrival rate and service rates are fuzzy numbers. The basic idea is to transform a fuzzy tandem queue to a family of crisp tandem queues by applying the α -cut approach. Then on the basis of α -cut representation and the extension principle, a pair of mathematical programs is formulated to describe this family of crisp tandem queues, via which the membership functions of the performance measures are derived. Two numerical examples are solved successfully to demonstrate the validity of the proposed approach. Since the performance measures are expressed by membership functions rather than by crisp values, the fuzziness of input information is completely conserved. Thus the proposed approach for fuzzy systems can represent the system more accurately, and more information is provided for designing queueing systems. The successful extension of tandem queues to fuzzy environments permits tandem queueing models to have wider applications.