Asked by Emily_ nicole on May 12, 2024

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A firm that specializes in desktop publishing for local charities has agreed to take on the following jobs. The firm has not decided which dispatching rule to apply in order to prioritize the jobs and fix them into the schedule. All dates are specified as days from Day 1.
 Start day 1 Data  Received  Time  Due Date  A 12319 B 11833 C 1615D11154 E 11214 F 1429\begin{array} { | r | r | r | r | } \hline \text { Start day } & 1 & & \\\hline \text { Data } & & & \\\hline & \text { Received } & \text { Time } & \text { Due Date } \\\hline \text { A } & 1 & 23 & 19 \\\hline \text { B } & 1 & 18 & 33 \\\hline \text { C } & 1 & 6 & 15 \\\hline \mathrm { D } & 1 & 11 & 54 \\\hline \text { E } & 1 & 12 & 14 \\\hline \text { F } & 1 & 4 & 29 \\\hline\end{array} Start day  Data  A  B  C D E  F 1 Received 111111 Time 2318611124 Due Date 193315541429 a. Complete the following table. Show your supporting calculations below.
b. Which dispatching rule has the best score for flow time?
c. Which dispatching rule has the best score for work-in-process (jobs in the system)?
d. Which dispatching rule has the best score for lateness?
 Dispatching  Rule  Average  Flow Time  Average Number  of Jobs  Number of  Jobs Late  Average  Lateness  FCFS  SPT  LPT  EDD  SLACK  CR \begin{array} { | l | l | l | l | l | } \hline \begin{array} { l } \text { Dispatching } \\\text { Rule }\end{array} & \begin{array} { l } \text { Average } \\\text { Flow Time }\end{array} & \begin{array} { l } \text { Average Number } \\\text { of Jobs }\end{array} & \begin{array} { l } \text { Number of } \\\text { Jobs Late }\end{array} & \begin{array} { l } \text { Average } \\\text { Lateness }\end{array} \\\hline \text { FCFS } & & & & \\\hline \text { SPT } & & & & \\\hline\text { LPT } & & & & \\\hline \text { EDD } & & & & \\\hline \text { SLACK } & & & & \\\hline \text { CR } & & & &\\\hline\end{array} Dispatching  Rule  FCFS  SPT  LPT  EDD  SLACK  CR  Average  Flow Time  Average Number  of Jobs  Number of  Jobs Late  Average  Lateness 

Dispatching Rule

A set of guidelines or criteria used for determining the sequence of tasks or the allocation of resources in a production process.

Flow Time

The total time a product spends in a manufacturing or service process from start to finish.

Work-In-Process

Items or components that are in the process of being manufactured but are not yet completed products.

  • Gain an understanding of crucial dispatching principles and how they are applied in scheduling tasks.
  • Examine the performance outcomes of diverse scheduling rules by considering average flow time, work-in-process, lateness, and makespan.
  • Ascertain the most effective scheduling strategy according to predefined performance metrics.
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Gagandeep BhanguMay 13, 2024
Final Answer :
a)
 Method Average Flow Time  Average number of jobs insystem  Utilization Number of  late jobs AverageLate Time  FCFS 52.166674.229730.236422624.83333 SPT 32.166672.6081080.38342315.33333 LPT 54.166674.3918920.227692626.83333 Due Date 42.166673.4189190.29249515.16667 Slack 49.166673.9864860.250847621.83333 Crit Ratio 52.333334.2432430.235669625\begin{array}{rrrrrr}\text { Method }&\begin{array} { l } \text {Average }\\ \text {Flow Time }\\\end{array}&\begin{array} { l } \text { Average}\\ \text { number of}\\ \text { jobs in}\\ \text {system }\\\end{array}&\text { Utilization }&\begin{array} { l } \text {Number of }\\ \text { late jobs}\\\end{array}&\begin{array} { l } \text { Average}\\ \text {Late Time }\\\end{array}\\\text { FCFS } & 52.16667 & 4.22973 & 0.236422 & 6 & 24.83333 \\\text { SPT } & 32.16667 & 2.608108 & 0.38342 & 3 & 15.33333 \\\text { LPT } & 54.16667 & 4.391892 & 0.227692 & 6 & 26.83333 \\\text { Due Date } & 42.16667 & 3.418919 & 0.29249 & 5 & 15.16667 \\\text { Slack } & 49.16667 & 3.986486 & 0.250847 & 6 & 21.83333 \\\text { Crit Ratio } & 52.33333 & 4.243243 & 0.235669 & 6 & 25\end{array} Method  FCFS  SPT  LPT  Due Date  Slack  Crit Ratio Average Flow Time 52.1666732.1666754.1666742.1666749.1666752.33333 Average number of jobs insystem 4.229732.6081084.3918923.4189193.9864864.243243 Utilization 0.2364220.383420.2276920.292490.2508470.235669Number of  late jobs636566 AverageLate Time 24.8333315.3333326.8333315.1666721.8333325 b) SPT
c) SPT
d) EDD