Kingman’s (1978) representation theorem (J. Lond. Math. Soc. (2) 18 374–380) states that any exchangeable partition of ℕ can be represented as a paintbox based on random mass-partition. Similarly, composition (i.e., ordered ℕ) an interval-partition (Gnedin (1997) Ann. Probab. 25 1437–1450). Our first main result is coalescent process (not necessarily Markovian) nondecreasing valued in interval-...

This paper presents a fuzzy queuing location model for congested system. In a queuing system there are different criteria that are not constant such as service rate, service rate demand, queue length, the occupancy probability of a service center and Probability of joining the queue line. In this paper with fuzzifying all of these variables, will try to reach an accurate real problem. Finally w...