How should I create a matrix of costs based on a set of variable?
$begingroup$
I'm trying to make a matrix that depicts costs for a set of tasks. These tasks are the rows of the matrix. The cost matrix is to be based on a multi-attribute weightage of the tasks based on their parameters such as temporal urgency, importance, etc. Now I dont know what kind of a mathematical model to use to get such a cost matrix, as it is to be an input for a linear program, which is what I am studying right now. Can someone point me in the kind of direction I should be looking for such a thing?
linear-programming decision-theory utility
asked Dec 3 '18 at 5:23
Arjun MohanArjun Mohan
121
$endgroup$
add a comment |
$begingroup$
I'm trying to make a matrix that depicts costs for a set of tasks. These tasks are the rows of the matrix. The cost matrix is to be based on a multi-attribute weightage of the tasks based on their parameters such as temporal urgency, importance, etc. Now I dont know what kind of a mathematical model to use to get such a cost matrix, as it is to be an input for a linear program, which is what I am studying right now. Can someone point me in the kind of direction I should be looking for such a thing?
linear-programming decision-theory utility
asked Dec 3 '18 at 5:23
Arjun MohanArjun Mohan
121
$endgroup$
$begingroup$
Given your specific requirements, the best mathematical model to use is given by the matrix $C=(c_{ij})$ where $$c_{ij} = left{ begin{array}{ll} ij&mbox{ if either $i$ or $j$ is prime} \ 42 & mbox{ otherwise} end{array} right.$$ This is as described in the SIAM Journal on Correct Cost Matrices, June 2018: wolframalpha.com/input/…
$endgroup$
– Michael
Dec 3 '18 at 16:28
$begingroup$
I understand its vague but I just need to understand what kind of stuff I need to read about to be able to do what I have mentioned in the question
$endgroup$
– Arjun Mohan
Dec 3 '18 at 17:16
add a comment |
$begingroup$
I'm trying to make a matrix that depicts costs for a set of tasks. These tasks are the rows of the matrix. The cost matrix is to be based on a multi-attribute weightage of the tasks based on their parameters such as temporal urgency, importance, etc. Now I dont know what kind of a mathematical model to use to get such a cost matrix, as it is to be an input for a linear program, which is what I am studying right now. Can someone point me in the kind of direction I should be looking for such a thing?
linear-programming decision-theory utility
asked Dec 3 '18 at 5:23
Arjun MohanArjun Mohan
121
$endgroup$
I'm trying to make a matrix that depicts costs for a set of tasks. These tasks are the rows of the matrix. The cost matrix is to be based on a multi-attribute weightage of the tasks based on their parameters such as temporal urgency, importance, etc. Now I dont know what kind of a mathematical model to use to get such a cost matrix, as it is to be an input for a linear program, which is what I am studying right now. Can someone point me in the kind of direction I should be looking for such a thing?
linear-programming decision-theory utility
linear-programming decision-theory utility
asked Dec 3 '18 at 5:23
Arjun MohanArjun Mohan
121
asked Dec 3 '18 at 5:23
Arjun MohanArjun Mohan
121
asked Dec 3 '18 at 5:23
Arjun MohanArjun Mohan
121
asked Dec 3 '18 at 5:23
Arjun MohanArjun Mohan
121
asked Dec 3 '18 at 5:23
Arjun MohanArjun Mohan
121
121
$begingroup$
Given your specific requirements, the best mathematical model to use is given by the matrix $C=(c_{ij})$ where $$c_{ij} = left{ begin{array}{ll} ij&mbox{ if either $i$ or $j$ is prime} \ 42 & mbox{ otherwise} end{array} right.$$ This is as described in the SIAM Journal on Correct Cost Matrices, June 2018: wolframalpha.com/input/…
$endgroup$
– Michael
Dec 3 '18 at 16:28
$begingroup$
I understand its vague but I just need to understand what kind of stuff I need to read about to be able to do what I have mentioned in the question
$endgroup$
– Arjun Mohan
Dec 3 '18 at 17:16
add a comment |
$begingroup$
Given your specific requirements, the best mathematical model to use is given by the matrix $C=(c_{ij})$ where $$c_{ij} = left{ begin{array}{ll} ij&mbox{ if either $i$ or $j$ is prime} \ 42 & mbox{ otherwise} end{array} right.$$ This is as described in the SIAM Journal on Correct Cost Matrices, June 2018: wolframalpha.com/input/…
$endgroup$
– Michael
Dec 3 '18 at 16:28
$begingroup$
I understand its vague but I just need to understand what kind of stuff I need to read about to be able to do what I have mentioned in the question
$endgroup$
– Arjun Mohan
Dec 3 '18 at 17:16
$begingroup$
Given your specific requirements, the best mathematical model to use is given by the matrix $C=(c_{ij})$ where $$c_{ij} = left{ begin{array}{ll} ij&mbox{ if either $i$ or $j$ is prime} \ 42 & mbox{ otherwise} end{array} right.$$ This is as described in the SIAM Journal on Correct Cost Matrices, June 2018: wolframalpha.com/input/…
$endgroup$
– Michael
Dec 3 '18 at 16:28
$begingroup$
Given your specific requirements, the best mathematical model to use is given by the matrix $C=(c_{ij})$ where $$c_{ij} = left{ begin{array}{ll} ij&mbox{ if either $i$ or $j$ is prime} \ 42 & mbox{ otherwise} end{array} right.$$ This is as described in the SIAM Journal on Correct Cost Matrices, June 2018: wolframalpha.com/input/…
$endgroup$
– Michael
Dec 3 '18 at 16:28
$begingroup$
I understand its vague but I just need to understand what kind of stuff I need to read about to be able to do what I have mentioned in the question
$endgroup$
– Arjun Mohan
Dec 3 '18 at 17:16
$begingroup$
I understand its vague but I just need to understand what kind of stuff I need to read about to be able to do what I have mentioned in the question
$endgroup$
– Arjun Mohan
Dec 3 '18 at 17:16
add a comment |
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
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3023674%2fhow-should-i-create-a-matrix-of-costs-based-on-a-set-of-variable%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
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.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3023674%2fhow-should-i-create-a-matrix-of-costs-based-on-a-set-of-variable%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
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
$begingroup$
Given your specific requirements, the best mathematical model to use is given by the matrix $C=(c_{ij})$ where $$c_{ij} = left{ begin{array}{ll} ij&mbox{ if either $i$ or $j$ is prime} \ 42 & mbox{ otherwise} end{array} right.$$ This is as described in the SIAM Journal on Correct Cost Matrices, June 2018: wolframalpha.com/input/…
$endgroup$
– Michael
Dec 3 '18 at 16:28
$begingroup$
I understand its vague but I just need to understand what kind of stuff I need to read about to be able to do what I have mentioned in the question
$endgroup$
– Arjun Mohan
Dec 3 '18 at 17:16