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Full exam for Logistics Management in the Management Engineering degree programme at Politecnico di Milano. The document covers: 01. Exam simulation 07.05.2020 1 EXERCISE 1 PART 1 We have to design the bay. The dimensions after the computations will be: - 𝐿 = 0,1 βˆ— 4 + 0,8 βˆ— 2 = 2 π‘š - 𝐻 = 0,1 + 0,15 + 1,5 = 1,75 π‘š - 𝐷 = 1,2 + 0,2 2 = 1,3 π‘š The next step is to determine the number of the levels 𝑁𝐿

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Full exam for Logistics Management in the Management Engineering degree programme at Politecnico di Milano. The document covers: 01. Exam simulation 07.05.2020 1 EXERCISE 1 PART 1 We have to design the bay. The dimensions after the computations will be: - 𝐿 = 0,1 βˆ— 4 + 0,8 βˆ— 2 = 2 π‘š - 𝐻 = 0,1 + 0,15 + 1,5 = 1,75 π‘š - 𝐷 = 1,2 + 0,2 2 = 1,3 π‘š The next step is to determine the number of the levels 𝑁𝐿

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01. Exam simulation 07.05.2020 1 EXERCISE 1 PART 1 We have to design the bay. The dimensions after the computations will be: - 𝐿 = 0,1 βˆ— 4 + 0,8 βˆ— 2 = 2 π‘š - 𝐻 = 0,1 + 0,15 + 1,5 = 1,75 π‘š - 𝐷 = 1,2 + 0,2 2 = 1,3 π‘š The next step is to determine the number of the levels 𝑁𝐿 = π‘šπ‘–π‘›{⌊ 8,5 1,75βŒ‹ ; ⌊ 7,5 1,75βŒ‹} = π‘šπ‘–π‘›{4; 5} = 4 𝑙𝑒𝑣𝑒𝑙𝑠 We know from the text that the length of the aisle is fixed. So, I do not have to determine the optimal shape because I have these constraints. Since the lengths of aisle is fixed (50m), the number of columns is fixed. So, the number of aisles is just a consequence: - 𝑁𝐢 = 50 2 = 25 π‘π‘œπ‘™π‘’π‘šπ‘›π‘  [π‘œπ‘‘β„Žπ‘’π‘Ÿπ‘€π‘–π‘ π‘’, 𝑁𝐢 = ⌈ 𝑆𝐢 2βˆ—π‘π΄βˆ—π‘π‘ƒπ΅βˆ—π‘πΏβŒ‰ ] - 𝑁𝐴 = ⌊ 𝑆𝐢 2βˆ—π‘πΆβˆ—π‘π‘ƒπ΅βˆ—π‘πΏβŒ‹ = ⌊ 4.000 2βˆ—4βˆ—2βˆ—25βŒ‹ = 10 π‘Žπ‘–π‘ π‘™π‘’π‘  The problem is easier than the traditional one solved in class: we do not have to find the optimal shape. Now we have to find U: - πΏπ‘šπ‘œπ‘‘π‘’π‘™π‘’ = 2 βˆ— 𝐷 + π΄π‘Š = 2 βˆ— 1,3 + 2,8 = 5,4 π‘š - π‘ˆ = 𝑁𝐴 βˆ— πΏπ‘šπ‘œπ‘‘π‘’π‘™π‘’ = 10 βˆ— 5,4 = 54 π‘š Now we go through the computation of the cycle time: 𝑇𝑆𝐢 = 𝐹𝑇 + 𝑉𝑇 = 𝐹𝑇 + [ 𝑃 𝑆𝐻 + 𝑆 𝑆𝑉 ] = = 𝐹𝑇 + 2 βˆ— ( π‘ˆ 2 + 𝑉 2 + π‘Šπ‘Žπ‘π‘π‘’π‘ π‘  π‘Žπ‘–π‘ π‘™π‘’) βˆ— 1 𝑆𝐻 + 2 βˆ— 𝐻 βˆ— ( π‘πΏβˆ’1 2 ) βˆ— 1 𝑆𝑉 = = 50 + 2 βˆ— ( 54+50 2 + 3) βˆ— 1 2 + 1,75 βˆ— 4βˆ’1 0,4 = 50 + 55 + 13,125 = 118,125𝑠𝑒𝑐 π‘‡πΆπ‘‘π‘Ÿπ‘’π‘π‘˜ = UF βˆ— 3600 TSC = 1 βˆ— 3600 118,125 = 30,48 𝑠𝑒𝑐/β„Ž # π‘‘π‘Ÿπ‘’π‘π‘˜ = ⌈ π‘‘β„Žπ‘Ÿπ‘œπ‘’π‘”β„Žπ‘π‘’π‘‘ π‘π‘Žπ‘π‘Žπ‘π‘–π‘‘π‘¦ π‘Ÿπ‘’π‘žπ‘’π‘–π‘Ÿπ‘’π‘‘ π‘‡πΆπ‘‘π‘Ÿπ‘’π‘π‘˜ βŒ‰ = ⌈ 160 30,48βŒ‰ = ⌈5,25βŒ‰ = 6 π‘‘π‘Ÿπ‘’π‘π‘˜π‘  // this was the first part; it is worth 24 points out of 30. If the mistake in the formula is -2 or -3 points, for a computation error is -1, for worst error of concepts more points will be removed (like if we would have used the AUR here -10 points would have been removed). PART 2 Since the I/O point is in the corner, the iso-time curve will be something like the one in the drawing on the right. If the I/O point would have been in the middle, in this case we would have done…

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