Rishabh bba iii
- 1. Queuing Theory Presented by: Rishabh Gupta BBA -III
- 2. Developed by A.K.Erling in 1903 It analyze the shared facility needs to be accessed for service by a large number of jobs or customers Examples: Waiting lines in cafeterias, hospitals, banks, theaters, airports etc.
- 3. Queuing theory is the mathematical study of waiting lines (or queues) that enables mathematical analysis of several related processes, including arriving at the (back of the) queue, waiting in the queue, and being served by the Service Channels at the front of the queue.
- 4. Balking If a customer decides not to enter the queue since it is too long is called Balking Reneging If a customer enters the queue but after sometimes loses patience and leaves it is called Reneging Jockeying When there are 2 or more parallel queues and the customers move from one queue to another is called Jockeying
- 5. Where customers are involved such as restaurants, café, super market, airports etc. Very useful in Manufacturing units Applicable for the problem of machine breakdown & repairs Applicable for the scheduling of jobs in production control Applicable for the minimization of traffic congestion at tollbooth Provide solution of inventory control problems
- 6. The basic characteristics of queuing phenomenon are: Service Center Service Channel Major Constituents of a Queuing System Customer Queue Service Channel
- 8. The customer arrive for service at a single service facility at random according to Poisson distribution with mean arrival rate ג. The service time has exponential distribution with mean service rate μ. The service discipline followed is First Come First Served. Customer Behavior is Normal Service facility behavior is Normal The calling source has infinite size The mean arrival rate is less than the mean service rate The waiting space available for customer in the queue is infinite
- 9. The waiting space for the customer is usually limited The arrival rate may be state dependent The arrival process may not be stationary The population of customers may not be infinite and the queuing discipline may not be First Come First Serve Services may not be rendered continuously The Queuing system may not have reached the steady state. It may be, instead, in transient state
- 10. Books –Operation Research – J.K. Sharma Websites –http://en.wikipedia.org –http://www.google.co.in –http://www.answers.com