Murthy is a motor carrier operating in the Andhraachuki region (India). Last July 11, four TL...

  

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Murthy is a motor carrier operating in the Andhraachuki region (India). Last July 11, four TL transport requests were made: from Khammam to Chittoor on July 12, from Khammam to Chittoor on July 13 and from Chittoor to Ichapur on July 12 (two loads). On July 11, two vehicles were available in Chittoor. A further vehicle was currently transporting a previously scheduled shipment and would be available in Khammam on July 12. Transport times between terminals are shown in Table 6. The revenue provided by a truck carrying a full load is 1.8 times the transport cost of an empty truck, estimated equal to 10000 rupees for each journey day. The problem to solve for Murthy is a VAP in which T (July 11, July 12, July 13) (1,2,3) and N= (Khammam, Chittoor, Ichapur) = {1,2,3). The cost cij of a journey from city i to city j is obtained by multiplying the cost of each journey day by the journey days (T) from city i to city j. Consequently, the profit Pij, i,j E N, is equal to 0.8 x 10000 x Tij. Formulate the mathematical model that maximizes the profit over the planning horizon. Table 6. Travel times (in days) Khammam Khammam Chittoor Ichapur 0 Chittoor Ichapur 1 2 0 2 0 Murthy is a motor carrier operating in the Andhraachuki region (India). Last July 11, four TL transport requests were made: from Khammam to Chittoor on July 12, from Khammam to Chittoor on July 13 and from Chittoor to Ichapur on July 12 (two loads). On July 11, two vehicles were available in Chittoor. A further vehicle was currently transporting a previously scheduled shipment and would be available in Khammam on July 12. Transport times between terminals are shown in Table 6. The revenue provided by a truck carrying a full load is 1.8 times the transport cost of an empty truck, estimated equal to 10000 rupees for each journey day. The problem to solve for Murthy is a VAP in which T (July 11, July 12, July 13) (1,2,3) and N= (Khammam, Chittoor, Ichapur) = {1,2,3). The cost cij of a journey from city i to city j is obtained by multiplying the cost of each journey day by the journey days (T) from city i to city j. Consequently, the profit Pij, i,j E N, is equal to 0.8 x 10000 x Tij. Formulate the mathematical model that maximizes the profit over the planning horizon. Table 6. Travel times (in days) Khammam Khammam Chittoor Ichapur 0 Chittoor Ichapur 1 2 0 2 0

Answer rating: 100% (QA)

Based on the problem description and the data provided in the images we can proceed to formulate the mathematical model for the vehicle allocation problem VAP that Murthy is attempting to solve We wil... View the full answer