Artalejo Rodríguez, Jesús Manuel2023-06-202023-06-202001-120307-904X10.1016/S0307-904X(01)00031-2https://hdl.handle.net/20.500.14352/57401This research was supported by DGICYT grant PB98-0837 and the European Commission through INTAS 96-0828. I want to thank Professors J.H. Dshalalow, B.D. Sivazlian and H.C. Tijms for their kind cooperation.This paper deals with the M/G/1queue with D-policy, i.e., the server is turned off at the end of a busy period and turned on when the cumulative amount of work firstly exceeds some fixed value D. We first concentrate on the computation of the steady-state probabilities. The first moments and relationships among the busy period, the number of customers served and other performance measures are investigated. Some variants of the main model and the special case of the M/M/1 are also studied.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0307904X01000312http://www.sciencedirect.comrestricted access519.8M/G/1queuesControl of the service processSteady-state probabilitiesMoment relationshipsRenewal theoryInvestigación operativa (Matemáticas)1207 Investigación Operativa