Queuing. Elements of Waiting Lines  Population –Source of customers Infinite or finite.

Slides:



Advertisements
Similar presentations
Part 3 Probabilistic Decision Models
Advertisements

Lecture 10 Queueing Theory. There are a few basic elements common to almost all queueing theory application. Customers arrive, they wait for service in.
Chap. 20, page 1051 Queuing Theory Arrival process Service process Queue Discipline Method to join queue IE 417, Chap 20, Jan 99.
Waiting Lines and Queuing Theory Models
© The McGraw-Hill Companies, Inc., Technical Note 6 Waiting Line Management.
Waiting Line Models And Service Improvement
To accompany Quantitative Analysis for Management, 8e by Render/Stair/Hanna 14-1 © 2003 by Prentice Hall, Inc. Upper Saddle River, NJ Chapter 14.
Waiting Line Management
Waiting Lines Students should be able to:
Waiting Line Analysis OPIM 310-Lecture 3 Instructor: Jose Cruz.
Lecture 11 Queueing Models. 2 Queueing System  Queueing System:  A system in which items (or customers) arrive at a station, wait in a line (or queue),
Management of Waiting Lines
CHAPTER 18 Waiting Lines.
To Accompany Russell and Taylor, Operations Management, 4th Edition,  2003 Prentice-Hall, Inc. All rights reserved. Chapter 16 Waiting Line Models and.
Waiting line Models.
Chapter 18 Management of Waiting Lines
19-1 McGraw-Hill Ryerson Operations Management, 2 nd Canadian Edition, by Stevenson & Hojati Copyright © 2004 by The McGraw-Hill Companies, Inc. All rights.
To accompany Quantitative Analysis for Management, 9e by Render/Stair/Hanna 14-1 © 2003 by Prentice Hall, Inc. Upper Saddle River, NJ Chapter 14.
Internet Queuing Delay Introduction How many packets in the queue? How long a packet takes to go through?
Waiting Line Analysis for Service Improvement
Chapter 9: Queuing Models
1 1 Slide © 2009 South-Western, a part of Cengage Learning Slides by John Loucks St. Edward’s University.

Queuing Theory (Waiting Line Models)
Copyright 2006 John Wiley & Sons, Inc. Beni Asllani University of Tennessee at Chattanooga Waiting Line Analysis for Service Improvement Operations Management.
Copyright ©: Nahrstedt, Angrave, Abdelzaher, Caccamo1 Queueing Systems.
4/11: Queuing Models Collect homework, roll call Queuing Theory, Situations Single-Channel Waiting Line System –Distribution of arrivals –Distribution.
1 Queuing Analysis Overview What is queuing analysis? - to study how people behave in waiting in line so that we could provide a solution with minimizing.
Ch 6 Tech Notes OBJECTIVES
McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies, Inc. All rights reserved. 18 Management of Management of Waiting Lines.
Copyright 2006 John Wiley & Sons, Inc. Beni Asllani University of Tennessee at Chattanooga Waiting Line Analysis for Service Improvement Operations Management.
 One or more ‘customers’ waiting for a service.  ‘Customer’ can be: › People e.g. A person waiting in line to deposit cash in a bank. › Objects e.g.
Waiting Lines and Queuing Models. Queuing Theory  The study of the behavior of waiting lines Importance to business There is a tradeoff between faster.
M/M/1 Queues Customers arrive according to a Poisson process with rate. There is only one server. Service time is exponential with rate  j-1 jj+1...
Copyright 2006 John Wiley & Sons, Inc. Beni Asllani University of Tennessee at Chattanooga Waiting Line Analysis for Service Improvement Operations Management.
Stevenson and Ozgur First Edition Introduction to Management Science with Spreadsheets McGraw-Hill/Irwin Copyright © 2007 by The McGraw-Hill Companies,
Structure of a Waiting Line System Queuing theory is the study of waiting lines Four characteristics of a queuing system: –The manner in which customers.
Waiting Line Models Production and Operations Management Reporter:
Copyright ©: Nahrstedt, Angrave, Abdelzaher, Caccamo1 Queueing Systems.
Waiting Line Theory Akhid Yulianto, SE, MSc (log).
1 1 Slide Chapter 12 Waiting Line Models n The Structure of a Waiting Line System n Queuing Systems n Queuing System Input Characteristics n Queuing System.
Adeyl Khan, Faculty, BBA, NSU Elements of Queuing System ArrivalsServiceWaiting line Exit Processing order System.
CS 4594 Broadband Intro to Queuing Theory. Kendall Notation Kendall notation: [Kendal 1951] A/B/c/k/m/Z A = arrival probability distribution (most often.
Problem #7 To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for the week. Previous.
Queuing Models.
Queueing Theory. The study of queues – why they form, how they can be evaluated, and how they can be optimized. Building blocks – arrival process and.
QUEUING THOERY. To describe a queuing system, an input process and an output process must be specified. Examples of input and output processes are: SituationInput.
Module D Waiting Line Models.
WAITING LINES AND SIMULATION
Simulation Statistics
McGraw-Hill/Irwin ©2009 The McGraw-Hill Companies, All Rights Reserved
Queueing Theory What is a queue? Examples of queues:
Management of Waiting Lines
Chapter 9: Queuing Models
Internet Queuing Delay Introduction
Demo on Queuing Concepts
Internet Queuing Delay Introduction
Birth-Death Process Birth – arrival of a customer to the system
Queuing Systems Don Sutton.
Chapter 5 Designing Services.
Solutions Queueing Theory 1
Queuing Theory By: Brian Murphy.
Mitchell Jareo MAT4340 – Operations Research Dr. Bauldry
Solutions Queueing Theory 1
Topic IV. Single Channel Systems (Limited queue length system)
Solutions Hwk Que3 1 The port of Miami has 3 docking berths for loading and unloading ships but is considering adding a 4th berth.
Model Antrian M/M/s.
Queueing Theory 2008.
Waiting Line Models Waiting takes place in virtually every productive process or service. Since the time spent by people and things waiting in line is.
Queuing Models J. Mercy Arokia Rani Assistant Professor
Presentation transcript:

Queuing

Elements of Waiting Lines  Population –Source of customers Infinite or finite

Elements of Waiting Lines  Arrival Rate –Rate at which customers arrive at a service facility during a specified period of time –Arrivals can be defined as a Poisson distribution 

Elements of Waiting Lines  Service Times –How many customers can be served in a period of time –Exponential distribution The likelihood of encountering specified intervals of time or space between consecutive occurrences 

Eliminating an infinite queue  Arrival rate must be less than Service rate 

Basic Waiting Line Structures  Single-channel, single-phase Waiting line server

Basic Waiting Line Structures  Multiple-channel, single-phase Waiting line Servers

 Average number of customers in the system (waiting and being served) L = 

 Average number of customers in the waiting line 2 Lq = 

 Average time a customer spends in the system (waiting and being served) 1 W =  -

 Average time a customer spends waiting in line Wq = 

 Probability of no customers in the system P 0 = ( 1 –  ) 

 Probability of n customers in the system P n = ( ) n ( 1 – ) 

 Utilization Rate –The proportion of time the system is in use  = 

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2024 SlidePlayer.com Inc. All rights reserved.