A manufacturing system consists of 3 machines. Parts arrive following EXPO(5) distribution. Upon arrival, the parts will be send to the shops where they will be processed, each part will be transported individually (assume the parts move by themselves without the need of a resource) and the move time takes UNIF(2, 3) minutes. Once the parts arrive at the shop station the parts are distributed among the machines by selecting the machine with the shortest queue, if there are ties, then the tie breaker is the machine index (Machine 3 is prioritized over machine 2, and 1, and machine 2 is prioritized over machine 13. There is no maximum buffer capacity to be considered. Processing time for each machine is constant and is equal to 7 minutes. All three machines have failure modes; the machines have up times and down time as following: Machine 1 Up Time expo(140) min, Down Time UNIF(5.10) min, Machine 2 up time EXPO(100) min and down time UNIF(5.15)+ 5 min while for machine 3 up time EXPO(50) and down time UNIF(8,9). Do 20 replications of 200 hours and select the correct answers only: Source of the variability in this model is from the arrival process The maximum number waiting for each machine is less than 3. Machine 3 has the highest utilization of about 78% The max WIP is less than 20 parts. Machine 2 is failed about 7% of the time. Machine 3 is die 7% of the time

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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A manufacturing system consists of 3 machines. Parts arrive following EXPO(5) distribution. Upon arrival, the parts will be send to the shops where they will be processed, each part will be transported individually (assume the parts move by themselves without the need of a resource) and the move time takes UNIF(2, 3) minutes. Once the parts arrive at the shop station the parts are distributed among the machines by selecting the machine with the shortest queue, if there are ties, then the tie breaker is the machine index (Machine 3 is prioritized over machine 2, and 1, and machine 2 is prioritized over machine 13. There is no maximum buffer capacity to be considered. Processing time for each machine is constant and is equal to 7 minutes. All three machines have failure modes; the machines have up times and down time as following: Machine 1 Up Time expo(140) min, Down Time UNIF(5.10) min, Machine 2 up time EXPO(100) min and down time UNIF(5.15)+ 5 min while for machine 3 up time EXPO(50) and down time UNIF(8,9). Do 20 replications of 200 hours and select the correct answers only: Source of the variability in this model is from the arrival process The maximum number waiting for each machine is less than 3. Machine 3 has the highest utilization of about 78% The max WIP is less than 20 parts. Machine 2 is failed about 7% of the time. Machine 3 is die 7% of the time

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