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
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
An index for ordering fuzzy numbers
Fuzzy Sets and Systems
Queueing networks with blocking
Queueing networks with blocking
Solving fuzzy assembly-line balancing problem with genetic algorithms
ICC&IE '94 Proceedings of the 17th international conference on Computers and industrial engineering
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
Ranking and defuzzification methods based on area compensation
Fuzzy Sets and Systems
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
Fuzzy controlled simulation optimization
Fuzzy Sets and Systems - Special issue: Approximate Reasoning in Words
A Tandem Queue with Blocking and Markovian Arrival Process
Queueing Systems: Theory and Applications
Buffer allocation in flow-shop-type production systems with general arrival and service patterns
Computers and Operations Research
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
Mobile agent model for transaction processing on distributed objects
Information Sciences—Informatics and Computer Science: An International Journal - Special issue: Introduction to multimedia and mobile agents
Optimization of tandem queue systems with finite buffers
Computers and Operations Research
Computers and Industrial Engineering - Special issue: Selected papers from the 30th international conference on computers; industrial engineering
A mathematical programming approach to fuzzy tandem queues
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Fuzzy assignment of customers for a parallel queueing system with two heterogeneous servers
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Fuzzy control of two-station queueing networks with two types of customers
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
A simple approach to ranking a group of aggregated fuzzy utilities
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
An exact approach for batch scheduling in flexible flow lines with limited intermediate buffers
Mathematical and Computer Modelling: An International Journal
Mixed integer programming for scheduling flexible flow lines with limited intermediate buffers
Mathematical and Computer Modelling: An International Journal
A performance anomaly in clustered on-line transaction processing systems
Computer Communications
A matrix-geometric approximation for tandem queues with blocking and repeated attempts
Operations Research Letters
Response time in a tandem queue with blocking, Markovian arrivals and phase-type services
Operations Research Letters
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Flow line systems with blocking are often seen in the fuzzy real world. This paper proposes a mixed integer nonlinear programming (MINLP) approach for evaluating the performances of the flow line system with blocking in fuzzy environments. The main idea is to model this system as a single-channel, multiple-phase queuing model with finite capacity, wherein the arrival rate and service rates are fuzzy numbers. This model is then transformed to a family of conventional crisp queues by applying the α-cut approach in fuzzy theory. On the basis of α-cut representation and the extension principle, two pairs of mixed integer nonlinear programs are formulated to calculate the lower and upper bounds of the fuzzy performance measures at possibility level α, from which the membership functions of the performance measures are derived. This paper also provides a representative value of the performance measure via the Yager ranking index method. An example is investigated successfully to illustrate the validity and the informative benefits of using the proposed approach. Since the performance measures are expressed by membership functions rather than by crisp values, the fuzziness of input information is conserved completely and more information is provided for capacity planning in flow line systems. Managerial implications of the analyses are also examined.