Compute the minimum or lower bound for required gates












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In the problem, we have a certain number of flights that the occupation time (in minutes) of each flight in the gate is determined and considered as a parameter (i.e. flight 1 occupies the gate for 50 minutes, flight 2 occupies the gate for 60 minutes , and ...).
The available time for the gates are 1440 minutes.
Based on occupation times of flights in a gate and available time for the gates, I want to compute the minimum required gates.
Do you know a method or article to solve this problem?










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$endgroup$












  • $begingroup$
    This is an NP-Hard problem ... you probably are better off using heuristics.
    $endgroup$
    – Don Thousand
    Jan 3 at 16:50










  • $begingroup$
    Yes, it is in NP-Hard class problem. I looked for the heuristics but I couldn't find any method. The heuristics for the similar problem can help me.
    $endgroup$
    – mahdi
    Jan 3 at 16:54










  • $begingroup$
    Try using the space filling heuristic for boxes. Your "space" is time.
    $endgroup$
    – Don Thousand
    Jan 3 at 16:56
















0












$begingroup$


In the problem, we have a certain number of flights that the occupation time (in minutes) of each flight in the gate is determined and considered as a parameter (i.e. flight 1 occupies the gate for 50 minutes, flight 2 occupies the gate for 60 minutes , and ...).
The available time for the gates are 1440 minutes.
Based on occupation times of flights in a gate and available time for the gates, I want to compute the minimum required gates.
Do you know a method or article to solve this problem?










share|cite|improve this question









$endgroup$












  • $begingroup$
    This is an NP-Hard problem ... you probably are better off using heuristics.
    $endgroup$
    – Don Thousand
    Jan 3 at 16:50










  • $begingroup$
    Yes, it is in NP-Hard class problem. I looked for the heuristics but I couldn't find any method. The heuristics for the similar problem can help me.
    $endgroup$
    – mahdi
    Jan 3 at 16:54










  • $begingroup$
    Try using the space filling heuristic for boxes. Your "space" is time.
    $endgroup$
    – Don Thousand
    Jan 3 at 16:56














0












0








0





$begingroup$


In the problem, we have a certain number of flights that the occupation time (in minutes) of each flight in the gate is determined and considered as a parameter (i.e. flight 1 occupies the gate for 50 minutes, flight 2 occupies the gate for 60 minutes , and ...).
The available time for the gates are 1440 minutes.
Based on occupation times of flights in a gate and available time for the gates, I want to compute the minimum required gates.
Do you know a method or article to solve this problem?










share|cite|improve this question









$endgroup$




In the problem, we have a certain number of flights that the occupation time (in minutes) of each flight in the gate is determined and considered as a parameter (i.e. flight 1 occupies the gate for 50 minutes, flight 2 occupies the gate for 60 minutes , and ...).
The available time for the gates are 1440 minutes.
Based on occupation times of flights in a gate and available time for the gates, I want to compute the minimum required gates.
Do you know a method or article to solve this problem?







optimization






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 3 at 16:45









mahdimahdi

92




92












  • $begingroup$
    This is an NP-Hard problem ... you probably are better off using heuristics.
    $endgroup$
    – Don Thousand
    Jan 3 at 16:50










  • $begingroup$
    Yes, it is in NP-Hard class problem. I looked for the heuristics but I couldn't find any method. The heuristics for the similar problem can help me.
    $endgroup$
    – mahdi
    Jan 3 at 16:54










  • $begingroup$
    Try using the space filling heuristic for boxes. Your "space" is time.
    $endgroup$
    – Don Thousand
    Jan 3 at 16:56


















  • $begingroup$
    This is an NP-Hard problem ... you probably are better off using heuristics.
    $endgroup$
    – Don Thousand
    Jan 3 at 16:50










  • $begingroup$
    Yes, it is in NP-Hard class problem. I looked for the heuristics but I couldn't find any method. The heuristics for the similar problem can help me.
    $endgroup$
    – mahdi
    Jan 3 at 16:54










  • $begingroup$
    Try using the space filling heuristic for boxes. Your "space" is time.
    $endgroup$
    – Don Thousand
    Jan 3 at 16:56
















$begingroup$
This is an NP-Hard problem ... you probably are better off using heuristics.
$endgroup$
– Don Thousand
Jan 3 at 16:50




$begingroup$
This is an NP-Hard problem ... you probably are better off using heuristics.
$endgroup$
– Don Thousand
Jan 3 at 16:50












$begingroup$
Yes, it is in NP-Hard class problem. I looked for the heuristics but I couldn't find any method. The heuristics for the similar problem can help me.
$endgroup$
– mahdi
Jan 3 at 16:54




$begingroup$
Yes, it is in NP-Hard class problem. I looked for the heuristics but I couldn't find any method. The heuristics for the similar problem can help me.
$endgroup$
– mahdi
Jan 3 at 16:54












$begingroup$
Try using the space filling heuristic for boxes. Your "space" is time.
$endgroup$
– Don Thousand
Jan 3 at 16:56




$begingroup$
Try using the space filling heuristic for boxes. Your "space" is time.
$endgroup$
– Don Thousand
Jan 3 at 16:56










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