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Em 516 – Logistics

In: Business and Management

Submitted By nursinatak
Words 1796
Pages 8
MIDDLE EAST TECHNICAL UNIVERSITY EM 516 – LOGISTICS

ASSIGNMENT 4 P-MEDIAN PROBLEM

1892876 - Nurşin ATAK

Instructor: Sinan GÜREL

December 26th, 2013 ANKARA

1. ABOUT P-MEDIAN PROBLEM: The problem is to locate one or more facilities (sources), such as warehouses, to serve a number of demand points (sinks) of known locations, volumes, and transportation rates. Fixed costs of a candidate set of facilities may also be known. The candidate set of facilities is selected from the demand points. The objective is to find the best P locations from the M candidate sites where P is less than or equal to M.

2. PROBLEM INSTANCE: The problem instance given in PMED01.dat file is considered for comparing Logware method and Linear Programming method. Problem data is taken from PMED01.dat file and demonstrated in Table 1. There are 12 markets being served from up to 5 candidate warehouse locations. The product is shipped over a road network. The annual volumes of the markets, the transportation rates, and the candidate sites with their fixed costs and X&Y Coordinates are shown in Table 1. Point X Y Volume, Transport Rate, No Coordinate Coordinate cwt $/cwt/mi M1 200 100 3000 0,002 M2 500 200 5000 0,0015 M3 900 100 17000 0,002 M4 700 400 12000 0,0013 M5 1000 500 10000 0,0012 M6 200 500 9000 0,0015 M7 200 700 24000 0,002 M8 400 700 14000 0,0014 M9 500 800 23000 0,0024 M10 800 900 30000 0,0011 M11 1200 300 4000 0,0001 M12 200 2000 2000 0,0002 Table 1. Problem Data of 12 Markets Fixed Candidate Cost, $ Sites 200 X 0 0 600 X 0 0 50 X 0 75 X 0 150 35 X

In this problem; the objective is to find the best P locations from the 5 candidate sites. After preparing a problem database, the number of facilities to locate are specified. Calculated total costs by Logware and Excel/Solver are compared

3. SOLUTION BY LOGWARE/PMED TOOL: The problem database is prepared in Input

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