311_session_7_waiting_line_theory_hiroshi

311_session_7_waiting_line_theory_hiroshi - 1 Waiting Line...

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 Waiting Line Theory BUAD311 Session 7 Hiroshi Ochiumi 2 Objectives Classification of waiting line systems Formula/macro for waiting line calculation 3 Classification of Waiting Lines The characteristics of a queuing system is captured by five parameters: Arrival pattern Service pattern Number of server Restriction on queue capacity The queue discipline 4 We are interested to evaluate.. Average waiting time in line and in the system The average number of orders (customers) waiting in line and in the system The utilization of server(s). 5 What are the Key Information? You are managing a local GAP store. Customers are complaining about long waits. It may be difficult to gather waiting time data. 6 Waiting Line Performance Evaluation Notation: Arrival rate: (10 cust. per hour) Average interarrival time: 1/ (1 /1 0 hr = 6 min 29 Service rate: (12 cust. per hour) Average service time: 1/ (1/12 hr = 5 min) 7 What are the Key Information? Arrival rate: Average interarrival time: m a = 1/ Standard deviation of interarrival time: S a Coefficient of variation for arrivals : C a = S a / m a Service rate: Average service time: m s = 1/ Standard deviation of service time: S s 8 Formulae S L L system in waiting customers of number Average C C L line in waiting customers of number Average S n Utilizatio q s s a S q + = +- = = + 2 1 2 2 ) 1 ( 2 9 Formulae WIP = TR * TT L q = * W q 2 1 2 2 ) 1 ( 2 s a S a q C...
View Full Document

This note was uploaded on 12/18/2009 for the course BUAD 311 taught by Professor Vaitsos during the Fall '07 term at USC.

Page1 / 29

311_session_7_waiting_line_theory_hiroshi - 1 Waiting Line...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online