Questions tagged [operations-research]
Operations Research, sometimes known as Management Science or Decision Science, is the discipline of applying appropriate analytical methods to help those who run organisations make better decisions.
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Delay in timetabling with supplements and exponentially distributed disturbances
I am looking at the following problem in operations research:
Suppose that a train is operated over two identical consecutive trips, where on each trip the train incurs an exponentially distributed ...
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How is this function piece-wise linear?
I encountered this lemma in a research paper related to End-to-End inventory management model.
Please note that $d_{[t_1,t_2]} = \sum_{t=t_1}^{t_2} d_t$, where $d_t$ denotes demand at time instance t. ...
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Bound for expected value under Wasserstein metric
I'm reading a paper and the following result is presented:
$$ (\mathbb{E}_{F}[\|\mathbf{X}\|^k])^{1/k} \leq (\mathbb{E}_{F_{0}}[\|\mathbf{X}\|^k])^{1/k} + \epsilon, \ \forall F\in\mathcal{B}_{p}(F_{0},...
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Final tableau in Simplex Method with unknowns
I'm currently working on a problem involving the Simplex Method and I've reached a point where I'm stuck. I have the final tableau after all iterations of the simplex, but there are still unknowns ...
user1055322
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Independence assumption for interarrival time [closed]
I am new to Queuing systems. There is an independent assumption made for the interarrival time. Can someone please explain to me why this assumption is true, can you provide me with an example?
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Existence of Nash Equilibrium in a Game with Mixed Strategy Spaces
I am considering formulating an applied research problem as a simultaneous zero-sum game with two players. The first player's set of actions is an infinite and compact subset of $\mathbb{R}^n$, while ...
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Rake building through mixed integer programming
I have a problem. I need some helps. I have several coils with weight. I have to load coils on wagons. There are two types of wagons. The capacity of two types of wagons are 64 and 67 respectively. I ...
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We define the normal direction of Ω. Now if Ω is convex, why it is equivalent to the following set?
Let $\Omega \subset \mathbb R^n$ be closed and $x^* \in \Omega$. Define the normal directions of
$\Omega$ at $x^*$ is given by $N(x^*) = \{d\in \mathbb R^n|\limsup_{x\to^\Omega x^*} \frac{\langle d, ...
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Identify optimal product size configuration based on historical data and some constraints [closed]
We have historical data for the demand of a product. Product can be demanded in any quantity between 0-1000g and the historical data show the distribution of previous request sizes. We can only pack ...
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Awkward Linear Programming Problem
This is a linear programming problem I was given in my semester examinations. The question is attached as an image. Given its size , I couldn't type it out.
LPP problem
So basically we have to come up ...
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M/M/c Queue Model Solutions for Average Waiting Time and Queue Length
I am seeking assistance with a queueing theory problem involving the M/M/c queue model from my textbook. I have attempted to solve the problem and would greatly appreciate it if someone could review ...
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Dynamic programming, prove function is monotone non-decreasing
I am currently studying dynamic programming using the Bersketas book: Dynamic programming and optimal control, volume 1. The question is regarding the notation used, but is the following:
The ...
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Expected distance of the first and second nearest person to one of the 2 cars on a circle road with uniformly distributed locations
let $X=\min(x_{11},x_{12},...,x_{1n},x_{21},x_{22},...,x_{2n})$，such as，$X=x_{1k}$
and
$Y=\min(x_{21},x_{22},...,x_{2,k-1},x_{2,k+1},...,x_{2n})$
and $\forall x_{ij}$ is i.i.d, uniform random variable ...
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Examine whether the following set is a convex set [closed]
So i am an undergrad student and this question was asked in an assignment
Examine if
$\{(x, y)\in \Bbb R^2 \mid 2x+3y≤6,2x+3y≥6, x≥0, y≥0\}$
is a convex set
After solving the constraints, we come to ...
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CCR model in DEA - proof of dual linear program
I am studying Data Envelopment Analysis and the CCR model from Cooper, W. W., Seiford, L. M., Tone, K., & Cooper, W. W. (2006). Introduction to data envelopment analysis and its uses : With DEA-...
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