Operations Management Home Work Harvard Case Solution & Analysis

Question 1

What would be the bottleneck resource?

            The bottleneck resource is identified below:

BOTTLENECK IDENTIFICATION
Average Truck Delivery75bbls 
Barrels of berries at peak harvest19000  
Number of trucks253.3  
Total Hours12Hours 
Trucks per hour21.1  
Minutes per truck arrival2.8Minutes 
Barrels per minute26.4  
    
26.4 barrels per minutes x 70% wet berry ratio18.5  
26.4 barrels per minutes x 30% dry berry ratio7.9  
    
Plant Capacity (wet berries )600BBS/hour=10bbls/min
Plant Capacity (Dry berries)1500bbs/hour=25 
    
Dry berries arrival7.92< 25No Bottleneck
Wet berries arrival18.47> 10Bottleneck
Total wet berries13300  
Wet berries plant capacity600bbls/hour 
Total time required in 1 day to complete 19000 barrels22.17hours 

Question 2

What would be the plant’s process capacity?

            The process capacity for the shown below:

PLANT'S PROCESS CAPACITY
RESOURCE POOLEFFECTIVE CAPACITY,BBLS/HR
Dumping Capacity  
Kiwanee dumpers5 
Avg time to dump7.5minutes
Avg weight in trucks75bbls
Total dumping capacity3000 
Holding Capacity  
Total holding (1-16)4000 
Total Holding (17-24)2000 
Total Holding (25-27)1200 
DE stoning Capacity  
Total de-stoning capacity4500 
DE chaffing capacity  
Total de-chaffing capacity4500 
Separator Capacity  
No. of Separator units3 
Total separator capacity1200 
Bagging station capacity  
Maximum output each day8000bbls
Total capacity667bbls/day
Bulk bin loading capacity  
No. of loaders for bulk bin4 
Total capacity800bbls/day
Bulk truck loading capacity  
No. of loaders of bulk trucks2 
Total capacity2000bbls/day
TOTAL PLANT PROCESS CAPACITY23867bbls/day

Question 3

Assuming that 12,600 wet berries arrive per day (over a 12 hour day from 7am to 7pm) – does the time at which the plant finishes processing the last wet berry change? Why?

            If we assume that the total wet berries arriving per day is reduced to 12600 from 13300 as previously calculated, then based upon the plant capacity of 600 bbls per hour, the time when the last wet berry is processed is changed and it is decreased as seen below.

Total wet berries arriving per day (assumed)12600  
Wet berries plant capacity600  
Total time required in 1 day to complete 19000 barrels21.00hours 

            The reason for this is that the bottleneck has been reduced from the process to a certain extent. It is the bottleneck of the process, which is causing delay in the processing of the wet berries at peak time period. The management needs to take steps to remove this bottleneck from the process for instance, the holding bin at level 1 (17-24) should be converted into the wet berries and should not include the dry berries. Another recommendation for the management is to invest over the temporary storage and in this manner to reduce the truck wait time by 0-20 minutes. The mangement needs to improve the scheduling of the process so that the bottleneck is reduced and utilization is increased for the complete process.

Escort Service

Question 1

On average, what fraction of the time is the escort busy? That is, if a student calls, what is the likelihood that the escort is currently occupied with another student?

Standard Deviation for Call Receiving15Minutes
Standard Deviation for picking & dropping a student15Minutes
   
Total Available Time1440Minutes
Escort Busy Time15Minutes
Maximum fraction of escort busy time of total time2.08% 
Minimum fraction of escort busy time of total time0.00% 
Average fraction of escort busy time of total time1.04% 

Question 2

How much time does it take, on average, from the moment a student calls for an escort to the moment the student arrives at her/his destination?

Escort Busy Time15Minutes
Average time to pick & drop a student15Minutes
Standard deviation for picking & dropping a student15Minutes
Maximum average time from student calling & arriving at his destination45Minutes
Minimum average time from student calling & arriving at his destination15Minutes
Average time from student calling & arriving at his destination30Minutes

Question 3

Suppose that the escort service purchases a scooter that the escort can use to pick-up and transport students. This reduces the average amount of time it takes for him to pick up and transport a student to 5 minutes, although the coefficient of variation of this time remains 1. Under this new system, how much time does it take, on average, from the moment a student calls for an escort to the moment the student arrives at her/his destination?

Operations Management Home Work Case Solution

Escort Busy Time5Minutes
Average time to pick & drop a student5Minutes
Standard deviation for picking & dropping a student5Minutes
Maximum average time from student calling & arriving at his destination15Minutes
Minimum average time from student calling & arriving at his destination0Minutes
Average time from student calling & arriving at his destination15Minutes

Operations in Workplace

Question 1

Briefly describe your current job or most recent job/position – what are your responsibilities and how would you describe your contribution in the ‘value added transformations’ within your organization..............

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