trucks are constantly arriving at receiving dock of a manufacturing company. The
ID: 444436 • Letter: T
Question
trucks are constantly arriving at receiving dock of a manufacturing company. The trucks need to be unloaded and the goods stored until required. The times between truck arrivals and the unloading times both vary randomly. By observing the system for a few days the analyst has obtained the data below
Table 1: Truck Arrival TImes
Time between arrival (mins) vs frequency
5
50
table 2: truck service times
a) simulate this system for a period of approx one hour (60min)
b)give the statistics (performance measures of the above receiving dock system) related to your simulation study and provide explainations
5
80 10 110 15 140 2050
Explanation / Answer
Arrival of trucks as well as service time for trucks are probabilistics and thus the first step is to fit the probability functions for both arrival and service times as follows:
In order to simplify the calculations and use of two digit random numbers allocations for simulation purposes, let us approximate probabilities to two digits as follows:
After allocation of random numbers to the variables of tnterarrival time and service times, next step is to generate random numbers.
Let us assume random numbers for arrival are : 5, 25, 68, 32, 89 and for service times are 24, 55,8, 79,37
Based on above random numbers, simulated analysis is as follows: (Assume docking begins at 9AM)
From above table of simulation exercise, Five trucks arrived between 9AM and 10.05AM ( four between 9AM to 10AM), Average waiting time for service = 1 minute ( 5/5) Service team was idle for 15 minutes for the said period but 10 minutes between 9AM to 10AM.
Time between arrival (mins) frequency Probability 5 80 0.21052632 10 110 0.28947368 15 140 0.36842105 20 50 0.13157895 Total 380 1 service time (mins) frequency Probability 5 50 0.13157895 10 140 0.36842105 15 120 0.31578947 20 70 0.18421053 Total 380 1Related Questions
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