MBA 550 - Balloons Aloha v.01
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This document discusses job scheduling options for Balloons Aloha company. It provides processing time estimates for 6 jobs and compares sequencing the jobs in the order proposed by Mr. Sailboat versus the shortest processing time (SPT) rule. Using the SPT rule results in lower average flow time, lateness, and tardiness. The document recommends adopting the SPT rule for single-resource sequencing and also considers applying the earliest due date (EDD) rule, finding it less efficient than SPT.
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MBA 550 - Balloons Aloha v.01
- 1. Balloons Aloha Bill Ajaero Vickie Cooper Aly Georgiu
- 2. The Case • Susie Davis owns a company called Balloons Aloha and are in need to fill balloons with helium and assembling them into certain configurations for six major parties. Since all of her customer jobs need to use the same helium tank Susie is trying to determine what would be the best single way to process the jobs. (Collier & Evans, 2014) https://www.youtube.com/watch?v=_zr-NlIFsg0&feature=youtu.be
- 3. The job processing time estimates are: Jobs 1 2 3 4 5 6 Processing time (min.) 240 130 210 90 170 165 Due date (6 a.m. to midnight in minutes from opening) 240 360 480 240 720 780
- 4. Case Questions for Discussion • Compute the average flow time, lateness, and tardiness for this group of jobs using Mr. Sailboat’s sequential order of 1 (first), 2, 3, 4, 5, and 6 (last). • In what order would the jobs be processed using the SPT rule? Compute the average flow time, lateness, and tardiness for this group of jobs. • Compare he answers in Questions 1 and 2. • What are your short-term recommendations for this set of six jobs? Justify. Explain. • What are your long-term recommendations with respect to a sequencing jobs at Balloons Aloha? Justify. Explain.
- 5. Mr.Sailboat’ssequentialorderof1 (first),2,3,4,5,6(last): Job Flow Time (F) Due Date Lateness (L = C – D) Tardiness [Max (0, L)] 1 240 240 0 0 2 240 + 130 = 370 360 10 10 3 370 + 210 = 580 480 100 100 4 580 + 90 = 670 240 430 430 5 670 + 170 = 840 720 120 120 6 840 + 165 = 1005 780 225 555 Averages 3705/6 = 617.5 min. 880/6 = 146.667 min. 1215/6 = 202.5 min.
- 6. Processing jobs using SPT rule: SPT means shortest processing time. The rule allows jobs to be processed by the shortest possible time each job is likely to spend in process. So, applying this rule, the jobs will be processed in the order: 4, 2, 6, 5, 3 and 1
- 7. Averageflowtime,latenessandtardinessinSPT order Job Flow Time (F) Due Date Lateness (L = C – D) Tardiness [Max (0, L)] 4 90 240 -150 0 2 90 + 130 = 220 360 -140 0 6 220 + 165 = 385 780 -395 0 5 385 + 170 = 555 720 -165 0 3 555 + 210 = 765 480 285 285 1 765 + 240 = 1005 240 765 765 Averages 3020/6 = 503.333 min. 200/6 = 33.33 min 1050/6 = 175 min
- 8. Comparinganswersinquestions1&2 Averages Mr. Sailboat’s sequence 1, 2, 3, 4, 5, 6 SPT Order 4, 2, 6, 5, 3, 1 Flow Time 617.5 min. 503.333 min. Lateness 146.667 min. 33.33 min. Tardiness 202.5 min. 175 min. From the comparison above, we can conclude that the SPT order is more efficient saving business time and cost, and increasing overall revenue.
- 9. Recommendations • Adopt the SPT rule for single-resource sequencing problems;
- 10. EDD rule: • An examination of the alternative to SPT which is the Earliest Due Date rule (EDD) will possibly reinforce our recommendation of the SPT rule for single-resource sequencing problems Jobs Flow Time (F) Due Date Lateness (L = C – D) Tardiness [Max (0, L)] 1 240 240 0 0 4 240 + 90 = 330 240 90 90 2 330 + 130 = 460 360 100 100 3 460 + 210 = 670 480 190 190 5 670 + 170 = 840 720 120 120 6 840 + 165 = 1005 780 225 225 Averages 3545/6 = 590.833 min. 725/6 = 120.833 min. 725/6 = 120.833 min.
- 11. Conclusion For all three performance criteria (Flow Time, Lateness, Tardiness) using EDD, the averages are much higher than they would be using SPT rule. So, as mentioned above, the efficiency in the SPT rule is time saving, reduces cost and adds to overall business revenue growth.