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hw9_solns

# hw9_solns - ORIE 4580/5580 Solutions for Homework...

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ORIE 4580/5580 Solutions for Homework Assignment 9 PROBLEM 1: ******************************************************************************** * * * Formatted Listing of Model: * * C:\Documents and Settings\Huseyin\Desktop\sitandrelax.MOD * * * ******************************************************************************** Time Units: Minutes Distance Units: Feet ******************************************************************************** * Locations * ******************************************************************************** Name Cap Units Stats Rules Cost ----------- --- ----- ----------- ---------- ------------ order_queue INF 1 Time Series Oldest, , cut 1 1 Time Series Oldest, , sand 1 1 Time Series Oldest, , staging INF 1 Time Series Oldest, , oven 1 1 Time Series Oldest, , ship_queue inf 1 Time Series Oldest, , clerk 1 1 Time Series Oldest, , ******************************************************************************** * Entities * ******************************************************************************** Name Speed (fpm) Stats Cost ----------- ------------ ----------- ------------ cust_order 150 Time Series order_batch 150 Time Series ******************************************************************************** * Processing * ******************************************************************************** Process Routing Entity Location Operation Blk Output Destination Rule Move Logic

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----------- ----------- ------------------ ---- ----------- ----------- ------- ------------ cust_order order_queue wip=wip+1 1 cust_order cut FIRST 1 cust_order cut WAIT U(20,5) 1 cust_order sand FIRST 1 cust_order sand WAIT U(24,4) 1 cust_order staging FIRST 1 cust_order staging GROUP 5 AS order_batch order_batch staging 1 order_batch oven FIRST 1 order_batch oven WAIT U(120,20) UNGROUP cust_order oven 1 cust_order ship_queue FIRST 1 cust_order ship_queue 1 cust_order clerk FIRST 1 cust_order clerk WAIT U(5,2) 1 cust_order EXIT FIRST 1 wip=wip-1 ******************************************************************************** * Arrivals * ******************************************************************************** Entity Location Qty Each First Time Occurrences Frequency Logic ---------- ----------- ---------- ---------- ----------- ---------- ------------ cust_order order_queue 1 INF E(60) ******************************************************************************** * Variables (global) * ******************************************************************************** ID Type Initial value Stats ---------- ------------ ------------- ----------- wip Integer 0 Time Series a) From one replication of 40 hours, the utilization of the oven is 35.06. The capacity of the oven is 1. Thus, the utilization of the oven is the percentage of time during which there was a batch being painted in the oven.
b) PROBLEM 2: a) The text description for the model is given below. The only special trick is that we need to define to attributes no_at_lathe and no_at_mill to keep track of how many times each part has been to the lathe and the milling machine. Running the model for 10 replications (1000 hours each, with 100 hour warm up period), we get the 95% confidence interval [2.93,3.08] for the average work in process.

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