# Answered Essay: Peapod an internet grocery distributor, delivers groceries to customers from its distribution center in Atlanta. Each delivery van can carry up to 200 cases of product.

Peapod an internet grocery distributor, delivers groceries to customers from its distribution center in Atlanta. Each delivery van can carry up to 200 cases of product. Peapod needs to coordinate the delivery of orders to 4 customers today. The distances and order quantities for each of these 4 customers are given in the table below. Use the procedure described in class to solve this vehicle routing problem. Provide details of the solution development. Identify each resulting route and its corresponding mileage. What is the total mileage of all routes in the solution?

We don’t know what is the method discussed in the class. However, this problem can be solved by using the ‘time-saved’ algorithm.

First, we will find the time saved matrix. Here we will use distance in place of time.

 Time (distance) Saved matrix Cust 2 Cust 3 Cust 4 Cust 1 10.6 21 18 Cust 2 14.4 15.2 Cust 3 28

[Note: Calculation example – Time (distance) saved between Cust 1 and 2 = Time required from DC to Cust 1 + Time required from DC to Cust 2 – Time required from Cust 1 to Cust 2 = 12.0+7.8 – 9.2 = 10.6]

As per the above table, the sorted combination based on descending time-saved is:

 Rank of Pairing by time saved Cust 3 – Cust 4 28 Cust 1 – Cust 3 21 Cust 1 – Cust 4 18 Cust 2 – Cust 4 15.2 Cust 2 – Cust 3 14.4 Cust 1 – Cust 2 10.6

According to this table, we combine the destination and make routes. We also find the load after combination from the given demands and check whether they exceed 200 or not which is the capacity.

 Route Load DC – Cust 3 – Cust 4 – DC 135 DC – Cust 1 – Cust 3 – DC 91 DC – Cust 1 – Cust 4 – DC 140 DC – Cust 2 – Cust 4 – DC 128 DC – Cust 2 – Cust 3 – DC 79 DC – Cust 1 – Cust 2 – DC 84

We find that none of these routes exceeds 200. So, they can be readily used as DC – Cust 3 – Cust 4 – DC and DC – Cust 1 – Cust 2 – DC. But these also not optimal choices because the further combination is possible. For example, if we combine the two routes DC – Cust 3 – Cust 4 – DC and DC – Cust 1 – Cust 3 – DC as DC – Cust 1 – Cust 3 – Cust 4 – DC, the load becomes 48+43+92 = 184, still less than 200.

So, the final solution is the following two routes:

DC – Cust 1 – Cust 3 – Cust 4 – DC (Distance = 12.0+7.6+3.6+15.0 = 38.2)
DC – Cust 2 – DC (Distance = 7.8+7.8 = 15.6)

Total distance is (12.0+7.6+3.6+15.0) + (7.8+7.8) = 53.8

Pages (550 words)
Approximate price: -

Help Me Write My Essay - Reasons:

Best Online Essay Writing Service

We strive to give our customers the best online essay writing experience. We Make sure essays are submitted on time and all the instructions are followed.

Our Writers are Experienced and Professional

Our essay writing service is founded on professional writers who are on stand by to help you any time.

Free Revision Fo all Essays

Sometimes you may require our writers to add on a point to make your essay as customised as possible, we will give you unlimited times to do this. And we will do it for free.

Timely Essay(s)

We understand the frustrations that comes with late essays and our writers are extra careful to not violate this term. Our support team is always engauging our writers to help you have your essay ahead of time.

Customised Essays &100% Confidential

Our Online writing Service has zero torelance for plagiarised papers. We have plagiarism checking tool that generate plagiarism reports just to make sure you are satisfied.

Try it now!

## Calculate the price of your order

Total price:
\$0.00

How it works?

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

HOW OUR ONLINE ESSAY WRITING SERVICE WORKS

Let us write that nagging essay.

By clicking on the "PLACE ORDER" button, tell us your requires. Be precise for an accurate customised essay. You may also upload any reading materials where applicable.

Pick A & Writer

Our ordering form will provide you with a list of writers and their feedbacks. At step 2, its time select a writer. Our online agents are on stand by to help you just in case.

Editing (OUR PART)

At this stage, our editor will go through your essay and make sure your writer did meet all the instructions.