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Optimization of Job Scheduling in a Static Shop Environment

Find the optimal schedule and compute relevant performance metrics for job sequencing problems using various heuristic approaches.

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Optimization of Job Scheduling in a Static Shop Environment

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  1. Examples 23/10/2019

  2. Example 1 The followingtablecontains data pertainingto 1|| problem. Notethattherelease time rj=0 foralljobs. Hence, it is a staticshopenviroment. Findaverageflow time

  3. Example 2 Consider a singlemachinesequencing problem with data as shownbelow: Usefollowingsequencestofind makespan(Cmax), averagetardiness () andmaximumlateness (). • SPT sequence • EDD sequence

  4. Example 3 Consider 1|prec| problem with data given in thefollowingtable: Findthe optimal schedule.

  5. Example 4 Consider 1|| problem in whichthefollowing data is given: Findthe optimal scheduleandcomputeUj, Tmaxand.

  6. Example 5 The data pertainingto F3|| problem is shown in Tablebelow. • ApplyJohnson’sRuleandfindCmax • Apply CDS heuristicandfindCmax • Ifduedates of jobsare as follows:

  7. Example 5 • Ifduedates of jobsare as follows: Findthetardiness of jobsusingJohnson’sRuleand CDS heuristics. Which of themethodsprovides minimum value of Lmax?

  8. Example 6 The data pertainingto F3|| problem is shown in Tablebelow. Apply CDS heuristicandsolvethe problem.

  9. Example 7 The data pertainingto F3|| problem is shown in Tablebelow. Usethefollowingmethodstofindthebestsequence: • CDS heuristicapproach, • Nawaz, Enscore, and Ham (NEH) approach.

  10. Example 8 A company has a cellthat can producethreeparts:A, B, C. The time requiredtoproduceeachpart 25, 80, and 10 minutesforeachpartrespectively. Thevaluetoproducetheparts is 5 dollars, 20 dollars, and 1 dollarsrespectively. How wouldyouschedulethepartsthroughthecellto minimize thevalue of work in process?

  11. Example 9 • JaneReedbakesbreadsandcakes in her homeforpartiesotheraffairs on a contractbasis. Jane has onlyoneovenforbaking. OneparticularMondaymorningshefindsthatshe has agreedtocompletefivejobsforthatday. Her husband John willmakethedeliveries, whichrequireabout 15 minuteseach. Supposethatshebeginsbaking at 8.00 a.m.

  12. Example 9 • Determinethesequence in whichsheshouldperformthejobs in orderto minimize • Meanflow time • Maximum lateness • Number of tardyjobs

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