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PF#02 Basic Location Problem - Teknik Industri...

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Unformatted text preview: Teknik Industri RI-1504/Facilities Planning/2007/#2 1 Facilities Facilities Location Location Lecture Notes #2 Stefanus Eko Wiratno ©2007 Stefanus Eko Wiratno ©2007 Teknik Industri RI-1504/Facilities Planning/2007/#2 2 Location Problems and Models A classification scheme for location models can used to help identify those problems Location problems and models may be classified in a number of ways (Daskin, 1995) : 1. Demands and candidate facility locations 2. Type of network location models 3. Number of Facilities to Locate 4. Distance Metrics 5. Nature of inputs about time 6. Nature of inputs about uncertainty 7. Homogenous product and demand 8. Sector problems 9. Objective 10. Elasticity demand 11. Capacity of facilities 12. The allocation of demand to facilities 13. Level of facilities 14. Locating desirable facilities Teknik Industri RI-1504/Facilities Planning/2007/#2 3 Taxonomy of Location Problems and Models Demands and candidate facility locations Planar location models ; demands occur anywhere on a plane Network location models ; demands and travel between demand sites and facilities are assumed to occur only on a network or graph composed of nodes and links Discrete location models ; allow for the use of arbitrary distance between nodes. As such, the structure of the underlying network is lost Teknik Industri RI-1504/Facilities Planning/2007/#2 4 Type of network location models Tree problems ; a network in which there is at most one path from any node to any other node General graph problem ; consists of a connected general network and a complete graph Number of Facilities to Locate Single facility location problem Multiple facilities location problem ( exogenous : number of facilities is parameter, endogenous : number of facilities is decision variable) Taxonomy of Location Problems and Models Teknik Industri RI-1504/Facilities Planning/2007/#2 5 Distance Metrics Manhattan or right–angle distance metric Euclidean or straight–line distance metric I p distance metric ( 29 ( 29 [ ] j i j i j j i i y y x x y x y x d- +- = , ; , ( 29 ( 29 [ ] ( 29 ( 29 [ ] 2 2 , ; , j i j i j j i i y y x x y x y x d- +- = Taxonomy of Location Problems and Models ( 29 ( 29 [ ] ( 29 ( 29 [ ] p p j i p j i j j i i y y x x y x y x d 1 , ; ,- +- = Teknik Industri RI-1504/Facilities Planning/2007/#2 6 Nature of inputs about time Static location problem; the inputs do not depend on time Dynamic location problem; the inputs (e.g., demand, costs, etc) depend on time Nature of inputs about uncertainty Deterministic models; the inputs to models may be certain Probabilistic models ; the inputs to models may be uncertain Taxonomy of Location Problems and Models Teknik Industri RI-1504/Facilities Planning/2007/#2 7 Homogenous product and demand Single–product models ; products or services are homogenous and identical demand Multiple–product models ; products are distinguished...
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