Cleveland Area Rapid Delivery (CARD) operates a delivery service in the Cleveland metropolitan area. Most of CARD's business nvolves rapid delivery of documents and parcels between offices during the business day. CARD promotes its ability to make fast and on-time deliveries anywhere in the metropolitan area. When a customer calls with a delivery request, CARD quotes a guaranteed delivery time. The following network shows the street routes available. The numbers above each arc indicate the travel time in minutes between the two locations. Min s.t. Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows Node 6 Flows For all (a) Develop a linear programming model that can be used to find the minimum time required to make a delivery from location to location 6. (Express your answers in the form X, where each x, represents the arc from node i to node j as either 1 or 0.) Xij = 0, 1. 35 min 12 3 18 p.m. 15 39 12 16 30 6 (b) How long (in minutes) does it take to make a delivery from location 1 to location 6? (Round your answer to the nearest whole number.) (c) Assume that it is now 1:00 p.m. and that CARD just received a request for a pickup at location 1. The closest CARD courier is 8 minutes away from location 1. If CARD provides a 20% safety margin in guaranteeing a delivery time, what is the minimum guaranteed delivery time if the package picked up at location 1 is to be delivered to location 6? (Enter your answer in standard time. Round your answer to the nearest minute.)
Cleveland Area Rapid Delivery (CARD) operates a delivery service in the Cleveland metropolitan area. Most of CARD's business nvolves rapid delivery of documents and parcels between offices during the business day. CARD promotes its ability to make fast and on-time deliveries anywhere in the metropolitan area. When a customer calls with a delivery request, CARD quotes a guaranteed delivery time. The following network shows the street routes available. The numbers above each arc indicate the travel time in minutes between the two locations. Min s.t. Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows Node 6 Flows For all (a) Develop a linear programming model that can be used to find the minimum time required to make a delivery from location to location 6. (Express your answers in the form X, where each x, represents the arc from node i to node j as either 1 or 0.) Xij = 0, 1. 35 min 12 3 18 p.m. 15 39 12 16 30 6 (b) How long (in minutes) does it take to make a delivery from location 1 to location 6? (Round your answer to the nearest whole number.) (c) Assume that it is now 1:00 p.m. and that CARD just received a request for a pickup at location 1. The closest CARD courier is 8 minutes away from location 1. If CARD provides a 20% safety margin in guaranteeing a delivery time, what is the minimum guaranteed delivery time if the package picked up at location 1 is to be delivered to location 6? (Enter your answer in standard time. Round your answer to the nearest minute.)
Chapter13: Services Marketing
Section13.2: Fedex Courts Customers With Convenience, Not Just Speed
Problem 1C: During nearly four decades of business operations, Memphis-based FedEx has earned a reputation for...
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Transcribed Image Text:Cleveland Area Rapid Delivery (CARD) operates a delivery service in the Cleveland metropolitan area. Most of CARD's business
involves rapid delivery of documents and parcels between offices during the business day. CARD promotes its ability to make fast
and on-time deliveries anywhere in the metropolitan area. When a customer calls with a delivery request, CARD quotes a
guaranteed delivery time. The following network shows the street routes available. The numbers above each arc indicate the
travel time in minutes between the two locations.
Min
s.t.
Node 1 Flows
Node 2 Flows
Node 3 Flows
Node 4 Flows
Node 5 Flows
Node 6 Flows
35
For all X;; = 0, 1.
(a) Develop a linear programming model that can be used to find the minimum time required to make a delivery from location 1
to location 6. (Express your answers in the form where each Xij represents the arc from node i to node j as either 1 or
Xijr
0.)
30
12
p.m.
3
Need Help? Read It
18
15
39
12
16
5
(b) How long (in minutes) does it take to make a delivery from location 1 to location 6? (Round your answer to the nearest
whole number.)
min
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30
(c) Assume that it is now 1:00 p.m. and that CARD just received a request for a pickup at location 1. The closest CARD courier
is 8 minutes away from location 1. If CARD provides a 20% safety margin in guaranteeing a delivery time, what is the
minimum guaranteed delivery time if the package picked up at location 1 is to be delivered to location 6? (Enter your
answer in standard time. Round your answer to the nearest minute.)
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