Module 4 Case Assignment Example | Topics and Well Written Essays - 750 words - 1

Module 4 Case - Assignment Example In order for the delivery cycle of the trucks to be regulated in a manner that utilizes time the best, the arrival time intervals are left as they are since the trucks are not be driven any faster to accomplish the need for better time management (Wilco, n.d.). Based on the principles of linear programming, it is required that the number of arrivals be provided with a more efficient unloading period such that more trucks can be unloaded at the same time. The current data indicates that the 83.333% capacity utilization is capable of providing room for a larger number of arrivals besides the current rate of 3.5. The issues facing the delivery system involve the underutilization of the system. Starting with the current single-server situation, The attached MS Excel file, single-server, shows that the maximum number of trucks that can be handled at a 95.89% is 22.374% out of a total number of 23.33% (see table 1). This data shows that at any given time during the working hours, 22.374% trucks will be waiting in a queue while a total of 23.33% will be accounted for. In order to achieve this score, the server takes into consideration the change in service rate from the current 4.2 to 3.65. The change in service rate amplifies the number of truck s serviced in an hour since the reduced servicing rate means more trucks can be unloaded in an hour. Based on the previous data, only 4.2 trucks can be unloaded in an hour and only 3.5 trucks are unloaded within the hour. This shows that reducing the servicing rate would require the reallocation of the servicing personnel as there are fewer trucks to unload unlike the number of arrivals. However, provided that various situations lead to the underutilization of capacity, the probabilities that 5, 6, and 7 trucks will be in queue at the same time takes three assumptions into account. Firstly, there are no changes in the arrival rate, 3.5 trucks per hour, and