Compute the minimum or lower bound for required gates












0














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






















  • This is an NP-Hard problem ... you probably are better off using heuristics.
    – Don Thousand
    2 days ago










  • 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.
    – mahdi
    2 days ago










  • Try using the space filling heuristic for boxes. Your "space" is time.
    – Don Thousand
    2 days ago
















0














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






















  • This is an NP-Hard problem ... you probably are better off using heuristics.
    – Don Thousand
    2 days ago










  • 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.
    – mahdi
    2 days ago










  • Try using the space filling heuristic for boxes. Your "space" is time.
    – Don Thousand
    2 days ago














0












0








0







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













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 2 days ago









mahdi

92




92












  • This is an NP-Hard problem ... you probably are better off using heuristics.
    – Don Thousand
    2 days ago










  • 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.
    – mahdi
    2 days ago










  • Try using the space filling heuristic for boxes. Your "space" is time.
    – Don Thousand
    2 days ago


















  • This is an NP-Hard problem ... you probably are better off using heuristics.
    – Don Thousand
    2 days ago










  • 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.
    – mahdi
    2 days ago










  • Try using the space filling heuristic for boxes. Your "space" is time.
    – Don Thousand
    2 days ago
















This is an NP-Hard problem ... you probably are better off using heuristics.
– Don Thousand
2 days ago




This is an NP-Hard problem ... you probably are better off using heuristics.
– Don Thousand
2 days ago












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.
– mahdi
2 days ago




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.
– mahdi
2 days ago












Try using the space filling heuristic for boxes. Your "space" is time.
– Don Thousand
2 days ago




Try using the space filling heuristic for boxes. Your "space" is time.
– Don Thousand
2 days ago










0






active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3060757%2fcompute-the-minimum-or-lower-bound-for-required-gates%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























0






active

oldest

votes








0






active

oldest

votes









active

oldest

votes






active

oldest

votes
















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.





Some of your past answers have not been well-received, and you're in danger of being blocked from answering.


Please pay close attention to the following guidance:


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3060757%2fcompute-the-minimum-or-lower-bound-for-required-gates%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

An IMO inspired problem

Management

Investment