An M/G/1 queue with second optional service and Bernoulli schedule server vacations

• Autorzy: Madan K.C. , Abu-Dayyeh W. , Saleh M.F.
• Języki publikacji: EN

Abstrakty

EN

We study an M/G/1 queue with second optional service and Bernoulli schedule server vacations. Poisson arrivals with mean arrival rate lambda ([right angle bracket] 0), all demand the first 'essential' service, whereas only some of them demand the second 'optional' service. The service times of the first essential service are assumed to follow a general (arbitrary) distribution with distribution function B( nu ) and that of the second optional service are exponential with mean service time 1/ mu /sub 2/ ( mu /sub 2/ [right angle bracket] 0). We have assumed that after completion of a service, the server takes Bernoulli schedule server vacations. The time-dependent probability generating functions have been obtained in terms of their Laplace transforms and the corresponding steady state results have been derived explicitly in closed form. Some known results have been derived as particular cases.

Słowa kluczowe

EN

second optional service; Bernoulli schedule server vacations; Poisson arrivals; mean arrival rate; general arbitrary distribution; time-dependent probability generating; functions; Laplace transforms; steady state results; vacation queues; differential-difference equations

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2002
• Tom: Vol. 28, nr 3
• Strony: 51--62
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Madan K.C.

• Deptment of Statistic, Faculty of Science, Yarmouk University, Irbid, Jordan Yarmouk University, Irbid, Jordan

autor

Abu-Dayyeh W.

• Deptment of Statistic, Faculty of Science, Yarmouk University, Irbid, Jordan Yarmouk University, Irbid, Jordan

autor

Saleh M.F.

• Deptment of Statistic, Faculty of Science, Yarmouk University, Irbid, Jordan Yarmouk University, Irbid, Jordan