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This paper is concerned with the CI/C/l queueing system under the assumption of last-come-firstserved queue discipline where each customer enters the service immediately upon his arrival. If a customer service is interrupted because of the arrival of another customer, his remaining service requirement remains unchanged until the server can attend to him again. Let (Pn) and (rn)' n = 0.1. 2 •• be the equilibrium distributions of the number of customers in the system, when the system is considered 'at any time' and when it is considered at epochs immediately before successive arrivals respectively. It is shown that a relation between the sequences (Pn) and (rn) is the same as that of the CI/M/I queueing system with first-come-frrst-served queue discipline. Also it is shown that the remaining service requirement of the customer being served at any time is independent of the state of the system and it has the distribution function of the 'residual' service requirement. Furthermore a simple expression of the distribution function of the nearest time after any time is given. CI/C/l QUEUE; LAST-COME-FIRST-SERVED; INVARIANCE RELATION

INVARIANCE RELATIONS OF GI/G/1 QUEUEING SYSTEMS WITH PREEMPTIVE-RESUME LAST-COME-FIRST-SERVED QUEUE DISCIPLINE