Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Solve and show formula used and final answer (no excel) Question 3. Loading Dock Planning for a Regional Warehouse The manager of a regional warehouse

Solve and show formula used and final answer (no excel)
image text in transcribed
Question 3. Loading Dock Planning for a Regional Warehouse The manager of a regional warehouse is tasked with the important decision of determining the optimal number of loading docks to request for the new facility to minimize the overall costs associated with driver-truck combinations and dock operations. With trucks arriving at the rate of four per day, the manager must carefully consider all factors to make the best decision. The manager has been informed that each driver-truck combination costs $300 per day (regardless of whether the truck is waiting to be loaded or is in service) and that each dock, along with its loading crew, costs $1,100 per day. The manager must determine the number of docks to request in order to minimize the overall costs while still ensuring an efficient loading process for drivers. It is assumed that the arrival rate follows a Poisson distribution. Additionally, it is assumed that each dock can handle five trucks per day and that the loading rate follows an exponential distribution. The manager has approached you as a consultant to provide recommendations and insights based on the information above. Your task is to analyze the available data and provide answers to the following questions: (a) Determine the optimal number of docks to request in order to minimize the daily sum of dock costs and driver-truck costs. In other words, assuming the loading rate of five trucks per day per dock, calculate the number of docks needed to minimize the overall costs. [Hint: Calculate I the overall costs for various options of requesting 1 dock, two docks, and three docks or higher. Compare the costs and choose the option with the minimum cost.] (b) An employee has proposed adding a new equipment that would increase the loading rate to 5.71 trucks per day. This would come at an additional cost of $100 per day for each dock. Consider the optimal number of docks you obtained in part (a). Now, evaluate this investment on those docks (that dock) and determine whether it would be justifiable based on the costs and benefits associated with it. Thus, you need to analyze whether by adding this investment, your optimal overall cost obtained in part (a) decreases or not. (c) If the manager decides to invest in the new equipment, the next step would be to calculate the average waiting time in the queue for the drivers. How much is this average in-queue waiting time? This would provide valuable information for the drivers and help the manager make future decisions related to dock planning

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Essentials Of Management

Authors: Andrew J DuBrin

10th Edition

0996757872, 9780996757874

More Books

Students also viewed these General Management questions

Question

What is a dual-purpose test?

Answered: 1 week ago