Optimal control of two-phase MX/Ek/1 queueing system with server Start-up, N-Policy, unreliable server and Balking
نویسنده
چکیده
This paper deals with the optimal control policy of two-phase service M X / Ek /1 queues with vacation, N-policy, server break downs and balking. Generating functions method is used to derive the system characteristics. The total expected cost function is developed to determine the optimal threshold of N at a minimum cost. Numerical experiment is performed to validate the analytical results. The sensitivity analysis has been carried out to examine the effect of different parameters in the system.
منابع مشابه
Unreliable Server Mx/G/1 Queue with Loss-delay, Balking and Second Optional Service
This investigation deals with MX/G/1 queueing model with setup, bulk- arrival, loss-delay and balking. The provision of second optional service apart from essential service by an unreliable server is taken into consideration. We assume that the delay customers join the queue when server is busy whereas loss customers depart from the system. After receiving the essential service, the customers m...
متن کاملOptimal control of two-phase M/M/1 queueing system with server Start-up, N-Policy, unreliable server and Balking
---------------------------------------------------------------ABSTRACT-----------------------------------------------------In this paper, an M/M/1 queueing system with server Start-up, N-Policy, breakdowns at two phases of service and Balking is analyzed. Customers arrive at the system according to a Poisson process. They receive the first phase service as a batch followed by second essential ...
متن کاملA two-phase unreliable M/Ek/1 queueing system with server startup, N-policy, delayed repair and state dependent arrival rates
We study a M/Ek/1 queueing model where the service is provided in two phases one by one in secession. The server operates N-policy. Customer’s arrival rate depends on the state of the server. The service mechanism breakdowns occur only during active service and repair process may not take place immediately due to non-availability of the repair facility. We derive the steady state solutions by u...
متن کاملMultiple vacation policy for MX/Hk/1 queue with un-reliable server
This paper studies the operating characteristics of an MX/Hk/1 queueing system under multiple vacation policy. It is assumed that the server goes for vacation as soon as the system becomes empty. When he returns from a vacation and there is one or more customers waiting in the queue, he serves these customers until the system becomes empty again, otherwise goes for another vacation. The brea...
متن کاملOptimal control of an N - policy two - phase M X / M / 1 queueing system with server startup subject to the server breakdowns and delayed repair
In most queueing systems the server may be subjected to lengthy and unpredictable breakdowns while serving a customer. For instance, in manufacturing systems the machine may breakdown due to malfunction or job related problems; in computer systems, the machine may be subject to scheduled backups and predicted failures. In these systems, server breakdown results in a period of server unavailabil...
متن کامل