Yu 15 10 3 3 17 6 4 5 4 Note: Each Arc value represents distance in Kilometers. 6 from the source otherwise Rij-{ a) Formulate an LP Model for the Shortest distance (route) from node 1 (origin) to every other destination that will minimize the shortest distance from node 1 to every other destination. b) Formulate an LP Model for the maximum flow from node 1 (source) to node 7 (sink).
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- Travelling Salesman Problem (TSP); Given the following distance matrix, use the nearest neighbor (NN) heuristic to find a route that starts from the warehouse (W), visits each customer only once, and finishes at the warehouse to minimize the distance traveled. What is the route and the corresponding distance? Distances W 1 2 3 4 in miles 18 57 27 50 18 0 65 29 61 57 65 0 36 99 3 27 29 36 0 76 4 50 61 99 76 Route=W-1-3-2-4, Distance=182 miles Route=W-3-1-2-4-W, Distance=270 miles Route = W-3-1-2-4, Distance=220 miles Route=W-1-3-2-4-W, Distance=232 miles Route=W-1-3-4-2, Distance=272 miles 1, 2.BETTER PRODUCTS COMPANY has decided to start manufacturing four new products in three plants that currently have excess production capacity. The products require comparable production effort per unit, so the available production capacity in the plants is measured by the number of units of any product that can be manufactured per day. a)Formulate this problem as a transportation problem by constructing the appropriate parameter table. I already have an optimal solution (it's from the book). (I dont understand)-------------------------------------------------------------------------OPTIMAL SOLUTION:It has basic variables (assignments) X₁₂ = 30, X₁₃ = 30, X₁₅ = 15, X₂₄ = 15, X₂₅ = 60, X₃₁ = 20 and X₃₄ = 25, so that: Plant 1 produces all of products 2 and 3.Plant 2 produces 37.5% of product 4.Plant 3 produces 62.5% of product 4 and all of product 1. The total cost of Z = $3 260 per day.-------------------------------------------------------------------------Instructions:Please explain this…BETTER PRODUCTS COMPANY has decided to start manufacturing four new products in three plants that currently have excess production capacity. The products require comparable production effort per unit, so the available production capacity in the plants is measured by the number of units of any product that can be manufactured per day. a)Formulate this problem as a transportation problem by constructing the appropriate parameter table. I already have an optimal solution (it's from the book). (I dont understand)-------------------------------------------------------------------------OPTIMAL SOLUTION:It has basic variables (assignments) X₁₂ = 30, X₁₃ = 30, X₁₅ = 15, X₂₄ = 15, X₂₅ = 60, X₃₁ = 20 and X₃₄ = 25, so that: Plant 1 produces all of products 2 and 3.Plant 2 produces 37.5% of product 4.Plant 3 produces 62.5% of product 4 and all of product 1. The total cost of Z = $3 260 per day.-------------------------------------------------------------------------Instructions:Please explain this…
- eBook Problem 10-31 A long-distance telephone company uses a fiber-optic network to transmit phone calls and other information between locations. Calls are carried through cable lines and switching nodes. A portion of the company's transmission network is shown here. The numbers above each arc show the capacity in thousands of messages that can be transmitted over that branch of the network. To keep up with the volume of information transmitted between origin and destination points, use the network to determine the maximum number of messages that may be sent from a city located at node 1 to a oty located at node 7. 3 Maximum number of messages -Two parts to this question: Node a = new Node(5);Node b = new Node(3, a);Node c = new Node(7, b);Node d = new Node(2, c);Node firstNode = d;Node currentNode = firstNode.next; a. What is the contents of the chain referenced by firstNode? b. What is the data held in the node referred to by currentNode?Enable x roctorio.com/secured#lockdown NEY G. O Facebook O Instagram O YouTube O 69 Dashboard C The Impact of E-.. ng Enabled: Chapter 6 Network Optimi. 1 Saved Help Save & Exit Sub A minimum-cost flow problem has 8 supply nodes, O transshipment nodes, and 7 demand nodes. If each supply node can ship to every demand node, how many arcs will be included in the model? Number of arcs Mc Graw Hill 888 % & 3 3 4 7 8. R.
- Q: When we solve the given transportation problem according to the lowest cost method, which warehouse and/or warehouses are suitable for shipment from f3 (F: Factory M: Customer)A) no needb) M1, M2, M3c) M1 and M2d) M3 and M1E) M39-43. Northwest University is in the process of complet-ing a computer bus network that will connect com-puter facilities throughout the university. The prime objective is to string a main cable from one endof the campus to the other (nodes 1–25) throughunderground conduits. These conduits are shownin the network below; the distance between them isin hundreds of feet. Fortunately, these undergroundconduits have remaining capacity through which thebus cable can be placed.(a) Given the network for this problem, how long (inhundreds of feet) is the shortest route from node1 to node 25?(b) In addition to the computer bus network, a newphone system is also being planned. The phonesystem would use the same underground conduits. If the phone system were installed, the follow-ing paths along the conduit would be at capacity and would not be available for the computer busnetwork: 6–11, 7–12, and 17–20. What changes(if any) would you have to make to the pathused for the computer bus if the phone…Draw the network for this transportation problem. (Let X;; represent the flow from node i to node j.) Xij 300 1 300 2 O Min 2x13 + 4x14 + 4X15 + 10x23 + 11x24 + 11x25 s.t. 11 11 10 4. 4 2 X13X14 + X15 ≤ 500 X23 + x24 + X25 ≤ 400 X13 + x23 = 300 X14 +*24 = 300 X15 + 25 = 300 Xij 20 3 300 4 400 5 500 300 1 11 300 2 300 3 11 10 4 4 2 4 400 500 1 5 500 400 2 2 4 4 10 11 11 3 300 4 300 5 300 500 1 2 400 2 300 3 4 10 11 11 4 300 5 300
- please do it in excel BETTER PRODUCTS COMPANY has decided to start manufacturing four new products in three plants that currently have excess production capacity. The products require comparable production effort per unit, so the available production capacity in the plants is measured by the number of units of any product that can be manufactured per day. a)Formulate this problem as a transportation problem by constructing the appropriate parameter table. Note:One image is of the data and the other image is option 1 to solve the exercise.#63 (use the Stepping Stone Method to find an optimal solution for graph "a")Q3) The Cure medical distribution center distributes urgent medical equipment for five local hospitals in Washington DC metropolitan area. Cure Medical distribution would like to invest in a new warehouse in Washington DC to minimize the total distance from five major hospitals. The coordinate of the five hospitals is given below: ( (2) 3 Great Fall (C) (47) 122 (121) Fairfax 10 We W Bu (645) -D (-20, 30)- -E (-40, -30) Colesville Fairland Calpen A (10,60) -B (10,-10) Ⓡ South Lourel stuxent search Refuge (MA A (14) tille (214) pha Bowit (00 X -C (45, -20) 201 C a) Use Solver to determine where the new warehouse should be in to minimize the total distance from 5 hospitals. What are the coordinates of the new warehouse? b) Solve your problem again to minimize the maximum distance between hospitals and the new warehouse. What are the coordinates of the new warehouse?