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Business Administration, General Abstract: This paper examines a monotone policy as an optimal control rule for a tandem queueing service system with an ordered sequence of N job stages. Each job can be viewed as a single service station. A finite queue is allowed to accumulate before each station.
It is assumed that the system is observed only at discrete points in time, namely, those corresponding to arrivals, service completions, and certain no change events. Customers arrive according to a Poisson process with rate lamda. A customer who arrives and finds a full queue for station 1 will leave the system.
A manager can choose from s ,k alternative service types or stop the service for each station k whenever he observes the system. Let "a" be a certain action which is chosen by a manager. At each station k, an exponential server possesses a customer at a rate mu ,k a if this station is not blocked.
The cost structure includes an operating cost for running each stage, where the rate of operating cost depends on the type of service. A fixed revenue is collected when all stages have been completed.
To determine the optimal control rule, we formulate the system as a discrete-time Markov decision process. The optimality criterion is the total discounted expected cost.
We characterize the form of optimal value functions inductively. Applying the characteristics of optimal value functions, we present several monotonic properties of the optimal value policies.
We eliminate the inefficient facilities in the optimal policies. In a set of optimal actions, the operating cost rate at each stage is an increasing convex function of the service rate.
We show that an optimal action is an antitone function of a discount factor. We present the equivalent results between discrete- and continuous-time Markov decision processes over an infinite time horizon.management information system Queue Portrait: Kate Matsudaira, Business & finance Assignment Homework Help Studypool values your privacy.
Only questions posted as Public are visible on our website. To enhance service delivery, a proper queuing system is needed. This is achieved by putting in place proper measures to ensure a good flow of students at the service counters.
Focusing only This was the beginning of the study of queuing theory. Review of Previous Studies on the Subject of Study. queuing theory, queuing models are used to approximate a real queuing situation or system so that the queuing behaviour can be analysed mathematically.
It has been used successfully in the studies of queue behaviour problems, optimization problems and the statistical inference of . Systems Advantage: Simple analytical formulas Disadvantages: The Poisson assumption may be violated The exponential transmission time distribution is an approximation at best Interarrival and packet transmission times may be dependent (particularly in the network core) Head-of-the-line assumption precludes heterogeneous input traffic with.
Study on FM/FM/1 Queueing System with Pentagon Fuzzy Number using α Cuts, International Journal of Advance Research, Ideas and Innovations in Technology, leslutinsduphoenix.com APA K.
Usha Madhuri, K. Chandan (). Study on FM/FM/1 Queueing System with Pentagon Fuzzy Number using α Cuts. Electronic Queuing Solutions. This ticketless, single line queuing system is a cost effective way to manage queues in the fairest and fastest way at retail and pharmacy check-outs.
When there are electronic linear queues, customers are treated on a first come, first served basis, which feels quicker.