Mathematics > QUESTIONS & ANSWERS > IE 368 Winter 2007 Homework 6 Solutions, Questiions and answers, Grdaed A+ (All)

IE 368 Winter 2007 Homework 6 Solutions, Questiions and answers, Grdaed A+

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IE 368 Winter 2007 Homework 6 Solutions 1. i) What is the container space utilization? Container space utilization = (interior volume)/(container volume) = (18*18*6.5)/(19*19*8) = 73% You can a... lso calculate this based on the fact that the coffee cans do not use up all of the container space. Volume of a single can = 2 3 2 * *3 *6.5 184 184 2 * diameter  height = = = in    π π Since 9 cans are stored in one container the container space utilization is (9*184)/(19*19*8) = 57% ii) What standard pallet size will maximize trailer space utilization? (containers must be stacked vertically – i.e., you can’t turn them sideways). Consider the standard pallet sizes and the number of containers that can be loaded on each (containers can be stacked 4 high). 32x40: 8 containers 36x48: 8 containers 40x48: 16 containers 42x42: 16 containers 48x48: 8 containers Next consider how many pallets will fit in the footprint of the trailer (240”x 100”). 32x40: 18 pallets 36x48: 12 pallets 40x48: 12 pallets 42x42: 10 pallets 48x48: 10 pallets 40x48 is the most efficient pallet size. One pallet is 6”+ 4*8” = 38” high. Therefore 3 pallets may be stacked in the trailer. With a pallet size of 40x48, 3*12*16 = 576 containers can be loaded on a trailer. This study source was downloaded by 100000823742721 from CourseHero.com on 06-12-2022 10:35:36 GMT -05:00 https://www.coursehero.com/file/8076029/hw6-solutions/Trailer space utilization = 576* (18”*18”*6.5”)/(240”*120”*100”) = 42% iii) What is the trailer return ratio? One pallet can hold 4* 20 high = 80 empties, and has a height of 6”+8”+19*2” = 52”. Two full pallets cannot be stacked. The top pallet can have 1 + (48” – 6” – 8”)/2” = 18 empties stacked. The total # of empties = 12*80 + 12*(4*18) = 960 + 864 = 1824. The trailer return ratio = 1824/576 = 3.17 iv) How many trailer loads are needed to transport 100,000 coffee cans. A trailer holds 576 containers. Each container holds 9 coffee cans. The number of full trailers that will hold 100,000 cans = 100,000/(576*9) = 19.3 = 20 trailers. Trailers will also be needed to return containers. The number of trips required depends on the number of total containers. 2. The average distance a forklift can travel over 5*16 = 80 hours is [(5 * 3600)m/hr * 75000 m * 80 hours]/[75000 m + .333 hrs*(5 * 3600)m/hr] = 1,333,432 meters. Compute the number of vehicles required assuming the following. i. Empty vehicle travel = Full vehicle travel. This study source was downloaded by 100000823742721 from CourseHero.com on 06-12-2022 10:35:36 GMT -05:00 https://www.coursehero.com/file/8076029/hw6-solutions/Total travel distance = (3,500,000 *2) = 7,000,000 # Vehicles = 7,000,000/1,333,432 = 5.25 => 6 Forklifts ii. All vehicles return to a dispatch point (located at centroid D) after deliveries. Distance from dispatch to depts. Total distance = 3,500,000 + 5,800,000 = 9,300,000 Forklifts needed = 9,300,000/1,333,432 = 6.97 => 7 forklifts. iii. Empty vehicle travel is estimated as a function of pick-up and delivery activity from/to departments. Here assume that the distances are symmetric and that the two-way from-to chart (flow between) is a one-way from-to chart. This study source was downloaded by 100000823742721 from CourseHero.com on 06-12-2022 10:35:36 GMT -05:00 https://www.coursehero.com/file/8076029/hw6-solutions/Total Travel = 3,500,000 + 3,425,714 = 6,925,714 Forklifts needed = 6,925,714/1,333,432 = 5.19 => 6 forklifts. 3. Materials handling system applications are extremely varied, and there are many types of equipment available for material movement. This precludes the [Show More]

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