One of the airlines in Indonesia wants to improve the service at their check-in counters in city X. Check-in counters open 2 hours and closed 30 minutes before departure. All flights departing from X are Airbus 330 and the average number of passengers 80% of the available seats, with a standard deviation of 5%. The airline does not provide an online check-in service.

Passengers arrival time is about 3 persons per minute, and the arrival time spread is between 2.5 hours before departure until 30 minutes before departure.

Probability of service time for each passenger without luggage (25%):

30 seconds 40%

60 seconds 50%

90 seconds 10%


Probability of service time for each passenger with luggage (75%):

60 seconds 25%

120 seconds 40%

180 seconds 20%

240 seconds 15%


Each counter is served by an operator, while an assistant is required to help 1 to 2 counters with luggage. You are required to create a mathematical model and propose the number of counters to be opened with the optimal cost.
If the average waiting-in-line time after the counter is opened can not be more than 10 minutes, what changes should be made?
At the end of the week there is usually a traffic jam resulting in the passenger arrival time spread becomes to be between  90 minutes to 15 minutes before departure. How should this be handled?
What other factors can affect your solution and how to anticipate it?


Contest Instructions and Rules

To participate in InaM2C a team must have a faculty advisor from that school. There are several procedures that a team's advisor must go through at various times before, during, and after the contest. Please read these instructions carefully and be sure to complete all the steps involved. It is the advisor's responsibility to make sure that teams follow all steps required for participation in InaM2C.


Contest Rules

  1. A team may consist of up to four secondary or below students, enrolled in the same school.
  2. Teams must visit the InaM2C web site at the beginning of their 6 day contest period (not before 5:00 a.m. on Thursday, February 15, 2018) to receive the contest problems.
  3. The contest runs between 5:00 a.m. Thursday, February 15, 2018 and 11:59 p.m. on Tuesday, February 20, 2018.
  4. All papers must be received no later than 11:59 p.m. Tuesday, February 20, 2018.


Your Team(s) Online:

Each team will be assigned a control number (InaM2C18xxxx)

Important: Be sure to use a valid current email address so that we can use it to contact you at any point before, during, or after the contest, if necessary.


Preparing a Solution Paper

  1. The contest problem will become available at 5:00 a.m. on Thursday, February 15, 2018.
  2. Teams may use any inanimate source of data, materials, computers, software, references, websites, books, etc. Be sure to credit all sources used.
  3. Each team of students is expected to develop all of its substantive analysis without the help of others.
  4. Partial solutions are acceptable. There is no passing or failing cutoff score, nor will numerical scores be assigned. The InaM2C judges are primarily interested in a teams' approach and methods.
  5. Papers must be typed with a readable font of at least 12 point type.
  6. Your submission should consist of a 1 page Summary Sheet and your solution cannot exceed 10 pages. (The appendices and references should appear at the end of the paper and do not count toward the 10 page limit.)
  7. The solution must consist entirely of written text and possibly figures, charts, or other written material only.
  8. Each page of the solution must contain the team control number and the page number at the top of the page; we suggest using a page header on each page for example: InaM2C181234 page 6 of 13.
  9. The names of the students, advisor, or institution must not appear on any page of the solution. The solution must not contain any identifying information other than the team Control Number.
  10. Any preparation rule not followed is grounds for disqualification.
  11. Teams should keep in mind the following guidelines while preparing their solution papers:
  • Conciseness and organization are extremely important. Key statements should present major ideas and results.
  • Present a clarification or restatement of the problem as appropriate.
  • Present a clear exposition of all variables, assumptions, and hypotheses.
  • Present an analysis of the problem, motivating or justifying the modeling to be used.
  • Include a design of the model. Discuss how the model could be tested.
  • Discuss any apparent strengths or weaknesses to your model or approach.
  • Incorporate lengthy derivations, computations, or illustrative examples in appendices. Summarize these in the main report. Results must be explicitly stated in the body of the report.

Preparing and Submitting a Solution Paper

  1. The Summary Sheet
    Type a summary of the teams solution this should be the first page of your solution.
    The summary is a very important part of your InaM2C paper. The judges place considerable weight on the summary, and winning papers are sometimes distinguished from other papers based on the quality of the summary. To write a good summary, imagine that a reader may choose whether to read the body of the paper based on your summary. Thus, a summary should clearly describe your approach to the problem and, most prominently, what your most important conclusions were. The summary should inspire a reader to learn the details of your work. Your concise presentation of the summary should inspire a reader to learn the details of your work. Summaries that are mere restatements of the contest problem, or are a cut-and-paste boilerplate from the Introduction are generally considered to be weak.
  2. Teams must end all work on the Solution Paper at the end of the team's consecutive 6 day period, or by 11:59 p.m. on Tuesday, February 20, 2018.
  3. Upload the paper to Google drive and upload the link and send an electronic copy of the Solution Paper by email to before the deadline. In the subject line of your email write: InaM2C18 and your control number. For example: Subject InaM2C181234.
    1. Use your team’s control number as the name of your file
    2. InaM2C will accept only an Adobe PDF or Microsoft Word file of your solution.
    3. DO NOT include programs or software with your email as they will not be used in the judging process.
    4. The names of the students, advisor, or institution should NOT appear on any page of the electronic solution. Page 1 of the teams electronic solution should be the team summary.

*Note: The attachment must be less than 17MB.