I have posted the following on MO, but couldn't get any answer. So now posting it here for any help that I can get.

I guess this forum doesn't support LATEX, so I am posting my question as an image.

The image of the question

Thanks.

asked 25 Aug '15, 09:21

UbaAbd's gravatar image

UbaAbd
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accept rate: 0%


Assuming that the \(z_{ijp}\) are continuous variables, you cannot get precisely what you want. What is attainable is \[ c_{ip}=\begin{cases} 0 & \textrm{if }\sum_{j=1}^{s_{max}}z_{ijp}=0\\ 1 & \textrm{if }\sum_{j=1}^{s_{max}}z_{ijp}\ge\epsilon \end{cases} \]for some small \(\epsilon \gt 0\). This is a variation on a commonly asked question; try searching the forum to find an answer.

link

answered 25 Aug '15, 15:29

Paul%20Rubin's gravatar image

Paul Rubin ♦♦
14.6k513
accept rate: 19%

The matrix Z is binary valued, i.e., all the elements of Z matrix are either zero or one.

(25 Aug '15, 15:37) UbaAbd

In that case, it's fairly trivial: \(c_{ip}\ge z_{ijp}\,\forall j\) and \(c_{ip}\le \sum_j z_{ijp}\).

(25 Aug '15, 15:42) Paul Rubin ♦♦

Thats perfect. Thanks @paul.

(26 Aug '15, 05:02) UbaAbd
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Asked: 25 Aug '15, 09:21

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Last updated: 26 Aug '15, 05:02

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