1-27-10

# 1-27-10 - Facility Layout Click to edit Master subtitle...

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Click to edit Master subtitle style Facility Layout

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An example ABC Widgets Inc. is trying to create a layout for a new facility. The lot of terrain available is a square , 300 ft. by The company is organized in four departments, with the following dimensions: Dept 1: 100’ x 300’ Dept 2: 100’ x 200’ Dept 3: Dept 4: 100’ x 200’ First, try to build a couple of feasible layouts in the next page

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Let’s play with layouts 1 2 4 3 300 x 300 1
300 x 300 Let’s play with layouts 1 2 3 4 4 3 1

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Now, let’s explore the relationships between the departments It is absolutely necessary that depts. 1 and 2 are close, and it is especially important that 1 and 4 are close. It is also important that 3 and 4 are somehow close and it’s OK if departments 2 and 4 are close to each other. Other than that, all other relationships are unimportant . REL 1 2 3 4 1 - A U E 2 - - U O 3 - - - I 4 - - - - Rating Definition A Absolutely Necessary E Especially Important I Important O Ordinary Closeness OK U Unimportant X Undesirable
1 2 4 3 1 Layout 100 200 REL 1 2 3 4 1 - A U E 2 - - U O 3 - - - I 4 - - - - In this example, we will calculate an Adjacency Based and a Distance Based Score for two layouts

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Step 1: Convert REL data to a Reward Matrix REL 1 2 3 4 1 - A U E 2 - - U O 3 - - - I 4 - - - - A = 8 E = 4 I = 2 O = 1 U = 0 (X = -8) REL 1 2 3 4 1 - 8 0 4 2 - - 0 1 3 - - - 2 4 - - - - Scores are usually powers of a base number ri j Reward matrix
Step 2: Find the Adjacency-Based score ∑∑ = = = = m i m j ij ij x r Z S B A 1 1 . . . x ij = 1 if the departments are adjacent = 0 if the departments are not adjacent Adjacency means that they share a border, not corners Layouts with same adjacency score may have different travel distances

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1 2 4 3 Layout 1 100 100 100 200 100 1 Layout 100 200 100 100 100 Here is the data we need REL 1 2 3 4 1 - 8 0 4 2 - - 0 1 3 - - - 2 4 - - - - ri j ABS1 = 11 ABS2 = 15
Step 3: Find the Relative Efficiency for both layouts ABS1 Rel. Efficiency1 = = 73% ABS2 Rel. Efficiency2 = = 100% ∑∑ = = m i m j ij r 1 1

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Back to the company Now we will obtain some data related to the production processes that take place on ABC Widgets 1 4 2 3 200 units a day 50 25 1 Size of the unit load 100 200 Flow 1 2 3 4 1 - 25 0 50 2 - - 0 200 3 - - - 100 4 - - - - fi j

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Step 1: Find the flow data In this example, we will use the number of daily trips between departments ∑∑ = = = = m i m j ij ij ij d c f Z DBS 1 1 f flow between dept i and j c cost of moving the load
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1-27-10 - Facility Layout Click to edit Master subtitle...

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