Give step-by-step solution with explanation and final answer:Using ARENA, provide the model for the below manufacturing shop floor:

Parts arrive randomly with EXPO 2 minutes. 30% are part type 1, 3

Question

Give step-by-step solution with explanation and final answer:Using ARENA, provide the model for the below manufacturing shop floor:

Parts arrive randomly with EXPO 2 minutes. 30% are part type 1, 30% type 2, 40% type 3.

Then using pallets, batches of 10 pieces of each part type are carried by Lift truck to a location in the
shop where there are three queues for three CNC machines. Travel time is 5 minutes. There are 3 lift
trucks for this job.

Part type 1 can be machined on CNC 1 and 2

Part type 2 can be machined on CNC 1 and 3

Part type 3 can be machined on CNC 2 and 3

Lift truck operators choose the appropriate queue based on least number of parts in the queue. Parts are
machined on the CNC machines which takes TRIA(2,3,4) minutes and then go on the three conveyors
beside each machine. One conveyor for each CNC. After travel on Conveyors for 20 feet with a speed of
4ft/min, parts are placed in carts that each must contain 50 parts. Then, one person carries the carts to
paint shop for degreasing and rinsing and spraying all 50 pieces together that takes TRIA (5,6,7) minutes.
At this point the batches of 50 parts leave the shop to be delivered to the custom

VIPSolutions · Accepted Answer

Let's break down the **ARENA simulation model** step by step, focusing on logic and implementation. The actual Arena model would be built using Arena simulation software, but here we **describe how to create it and how to get the required statistics**.

---

# Step 1: **Model Overview**

You need to model a **manufacturing shop floor** with the following stages:

1. **Part Arrival (EXPO 2 min)**
2. **Batching by Lift Truck (batches of 10)**
3. **Lift Truck transports to CNC queue (3 trucks, 5 min travel)**
4. **CNC Machining (TRIA(2,3,4) min per batch)**
5. **Conveyor (20 ft @ 4 ft/min)**
6. **Batching in Carts (50 pieces per cart)**
7. **Paint Shop (TRIA(5,6,7) min per 50-piece cart)**
8. **Exit/Delivery**

---

# Step 2: **Entities and Resources**

**Entities:**
- Part (with Type attribute: 1, 2, or 3)

**Resources:**
- 3 Lift trucks
- 3 CNC Machines
- 3 Conveyors
- 1 Worker for paint shop

---

# Step 3: **ARENA Blocks and Logic**

## **A. Part Arrival**
- **Create Block:**  
  - Interarrival time: EXPO(2)
  - Assign Type: 30% type 1, 30% type 2, 40% type 3

## **B. Batch into groups of 10 for transport**
- **Batch Block:**  
  - Batch size: 10  
  - Type: Permanent

## **C. Lift Truck Transport**
- **Seize-Delay-Release Block (Resource: Lift Truck):**
  - Seize 1 of 3 lift trucks
  - Delay 5 min (transport)
  - Release truck

## **D. Routing to CNC Queue**
- **Decide Block:**  
  - Choose CNC with least queue for part type:
    - Type 1: CNC 1 or 2
    - Type 2: CNC 1 or 3
    - Type 3: CNC 2 or 3

- Use **Arena's Assign and Decide blocks** or **Set** and **Route by shortest queue** logic.

## **E. CNC Machining**
- **Seize-Delay-Release Block (Resource: CNC 1, 2, or 3):**
  - Seize correct CNC
  - Delay TRIA(2,3,4) min (machining)
  - Release CNC

## **F. Conveyor**
- **Delay Block:**
  - Conveyor distance: 20 ft @ 4 ft/min → **5 min delay**

## **G. Batch into Carts of 50**
- **Batch Block:**
  - Batch size: 50
  - Type: Permanent

## **H. Paint Shop**
- **Seize-Delay-Release Block (Resource: 1 worker):**
  - Seize worker
  - Delay TRIA(5,6,7) min
  - Release worker

## **I. Record Delivery**
- **Dispose Block**  
  - Record batch delivered (by part type)

---

# Step 4: **Replication and Output**

- **Run length:** 100 hrs
- **Warm-up period:** 50 hrs (set in Run Setup → Replication Parameters)
- **Replications:** 10

**Statistics to Collect:**
- Number of 50-part batches delivered for each part type

---

# Step 5: **Output Analysis (Confidence Interval)**

Arena will **automatically provide 95% confidence intervals** for output variables across replications.

**In Arena:**
- Define an output variable for each part type that increments each time a 50-part batch of that type is delivered.
- In the "Category Overview" or "Output Analyzer," select the relevant statistics.
- The 95% CI for each part type's batch count will be shown.

---

# Final Answer Format

## **Summary Table: Example Output**

| Part Type | Mean Batches Delivered | 95% Confidence Interval |
|-----------|-----------------------|------------------------|
| Type 1    | X1                    | [L1, U1]               |
| Type 2    | X2                    | [L2, U2]               |
| Type 3    | X3                    | [L3, U3]               |

Where:
- X1, X2, X3: Mean number of batches delivered for each type
- [L1, U1], etc.: Lower and upper bounds of the 95% confidence interval

---

# **Summary of ARENA Model Steps**

1. **Create**: Parts arrive (EXPO 2 min), assign type (1,2,3).
2. **Batch**: Into 10 (for truck).
3. **Seize-Delay-Release**: Lift truck (5 min).
4. **Decide**: Route to appropriate CNC queue (least busy for eligible machines).
5. **Seize-Delay-Release**: CNC machining (TRIA(2,3,4)).
6. **Delay**: Conveyor (5 min).
7. **Batch**: Into 50 for cart.
8. **Seize-Delay-Release**: Paint shop (TRIA(5,6,7)).
9. **Dispose**: Record batch delivered by type.
10. **Replicate**: 10 times, 100 hr run, 50 hr warm-up.
11. **Output**: 95% CI for number of 50-piece batches delivered per part type.

---

**Note:**  
- Exact confidence interval numbers (X1, [L1,U1], etc.) require running the simulation in Arena.
- Ensure to use Entity Attributes to track part types and batch statistics.

---

## **If you need a sample Arena file structure or want help with the Arena logic files, let me know!**

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