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LOGO Facility Location and Relocation

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Page 1: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

LOGO

Facility Location and Relocation

Page 2: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Contents

1. Introduction

2. Literature review

3. A decomposition approach for facility location and relocation problem with uncertain number of future facilities

Page 3: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Introduction

Definition : Decide the location of facilities by scientific methods and make it be connected with the operation system of company to realize the purpose.

Page 4: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Introduction

Outside influencing factor Politics Economic Infrastructure Competitor Other

Page 5: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Introduction

Inside influencing factor Strategy

Product

Cost&Budget

Page 6: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Introduction

The classification of location-allication model three-dimensional

two-dimensional

One-dimensional

discrete

Page 7: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Introduction

The classification of location-allication model One facility

Many facilities

Page 8: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Introduction

Objective Minisum

Minimax

Maximin

Page 9: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Introduction

Distance Euclidean distance

Broken line distance

Page 10: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Literature Review

p-Median problems a well known facility location probleman first introduced by Weber in the 1900’s

Allocation a set of soucres to some demand point for minimizing cost.

Strategic facility location: A review(Susan Hesse Owen *, Mark S. Daskin,1998)

Page 11: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Literature Review

In A communication network, such as a telephone interconnection system, there is usually a switching center S. All traffic flows (messages) within the network must arrive at the center S before they are processed and then sent to their proper destination. (S. L. Hakimit ,1963)

Page 12: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Literature Review

In a communication networkN, such as a tele-phone interconnection system, there are usually a number of switching centers Si, S2, ***, S,. All traffic flows (messages) within the network must arrive at one of the switching centers and then be processed and sent to their proper destination.(S. L. Hakimit ,1963)

Page 13: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Literature Review

The stochastic extensions of the p-median problem were also introduced in literature (Berman and Krass, 2002).

Zvi Drezner

Page 14: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Literature Review

We are interested in finding the best location for p new facilities when some existing facilities are already located in the area. (Zvi Drezner ,1995)

Page 15: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Literature Review

In this paper we investigate the situation when the number of facilities in the future is uncertain. We need to locate p facilities at the present time and will have to locate up to q additional facilities in the future.

Page 16: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Literature Review

The probability that r facilities will be located in the future is given for every 0 <= r <=q.It is assumed that when new facilities are located in the future, they are located at sites which are optimal given the location of the original p facilities. (Oded Berman , Zvi Drezner,2008)

Page 17: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Literature Review

In this paper, we study a budget constrained location problem in which we simultaneously consider opening some new facilities and closing some existing facilities.

(Qian Wang, Rajan Batta;, Joyendu Bhadury, Christopher M. Rump,2003)

Page 18: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Literature Review

A fuzzy multi-objective model with constraints on budget and the maximum number of relocations per period was constructed to solve the problem. Supply chain point of view of the problem was also studied in the literature . (Melo and Saldanha da Gama, 2005)

Page 19: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Literature

A decomposition approach for facility location and relocation

problem with uncertain number of future facilities

Ayse Durukan Sonmez, Gino J. Lim,2012

Page 20: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Literature

In order to overcome the limitations of the existing literature, we propose a solution approach that can determine the initial locations and future relocation of facilities where demand is subject to change and the number of future facilities is uncertain. Our aim is to minimize the initial and expected future weighted distances without exceeding the given budget for opening and closing facilities.

Page 21: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Facility Location and Relocation Problem – Deterministic (FLRPD)

Page 22: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Facility Location and RelocationProblem – Uncertainty (FLRP-U).

Page 23: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Facility Location and RelocationProblem – Uncertainty (FLRP-U).

Page 24: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Literature

FLRP-D is NP-hard. (Wang et al., 2003).

FLRP-U is NP-hard.

Page 25: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Solution Algorithm

Page 26: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Solution Algorithm

Page 27: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

FLRP-U vs. FLRP-D

Page 28: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

FLRP-U vs. FLRP-D

Page 29: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

FLRP-U vs. FLRP-D

Page 30: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

FLRP-U vs. FLRP-D

The FLRP-U was tested on 20 randomly generated networks with 250 nodes in each network.

Percent difference of the objective function values are calculated by subtracting average objective function values of FLRP-U from FLRP-D and dividing by FLRP-U for all scenarios and budget values.

Page 31: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

FLRP-U vs. FLRP-D

Page 32: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

FLRP-U vs. FLRP-D

Page 33: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

FLRP-U vs. FLRP-D

Page 34: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

FLRP-U vs. FLRP-D

Page 35: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

FLRP-U vs. FLRP-D

Page 36: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

FLRP-U vs. FLRP-D

Page 37: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

FLRP-U vs. FLRP-D

Page 38: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Decomposition algorithm for FLRP-U

Page 39: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Decomposition algorithm for FLRP-U

Page 40: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Decomposition algorithm for FLRP-U

Page 41: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

Company name

www.themegallery.com

Conclusion

In this paper, we introduced the facility location problem that considers future demand changes as well as uncertain number of future facilities which we named FLRP-U.

Page 42: LOGO Facility Location and Relocation. Company name  Contents  1. Introduction  2. Literature review  3. A decomposition approach

LOGOwww.themegallery.com