MY-ASSIGNMENTEXPERT™可以为您提供utasKMA255 Operations research运筹学的代写代考和辅导服务！
这是塔斯马尼亚大学 运筹学的代写成功案例。
KMA255课程简介
This unit teaches students skills and techniques that are used to answer practical questions arising in Operations Research. These questions typically also arise in Engineering, Management, Finance, Economics, and Teaching. For example, How long do I expect to have to wait for the next bus? How should I balance the products my factory makes, to maximise my profit? and What is the best way to send electricity from this set of power stations to these homes, to minimise power loss?
Operations Research includes the solution of optimization problems, modelling, and simulation. This unit provides necessary background in probability and graph theory, and then using those tools introduces students to methods in modelling stochastic systems as Discrete Time Markov Chains, and analysing their expected behaviour. It also gives students tools, such as the Simplex Method, to solve Linear Programming optimization and Transportation problems, and heuristic methods to solve computationally intractable problems like the Travelling Salesman Problem.
This unit is a required component of the Statistics and Decision Science major in the BSc.
Prerequisites
- Explain and apply fundamentals of probability and graph theory relevant to operations research.
- Analyse short- and long- term behaviour of discrete time Markov chains.
- Solve problems in linear programming using standard techniques.
- Select and apply standard heuristic methods to computationally intractable problems in operations research.
- Interpret and communicate mathematical arguments using appropriate terminology and notation, as they relate to problems in operations research.
KMA255 Operations research HELP（EXAM HELP， ONLINE TUTOR）
OMC produces two models of computers: Orange \& Tangerine. There are three critical resources: disk drives, assembly labor and quality assurance labor. Next quarter OMC hopes to have 20,000 disk drives, 32,000 hours of labor in assembly and 88,000 hours of labor in QA. Each Orange contributes $\$ 900$ to profits, and needs 2 disk drives while using 4 hours of assembly and 2 hours of QA, while each Tangerine contributes $\$ 600$ to profits, and needs 1 disk drive while using 1 hour of assembly and 7 hours of QA. Formulate a linear program to optimize production for the next quarter. State any assumptions you make.
A company manufactures three chemicals, A, B and C using two production lines. Running Line 1 for an hour costs $\$ 4,000$ and yields 3 units of $A, 1$ unit of $B$ and 1 unit of $C$, while running Line 2 for an hour costs $\$ 1000$ and yields 1 unit of $A$ and 1 unit of B. To meet customer demands, at least 10 units of $A, 5$ units of $B$ and 3 units of $C$ must be produced each day. Formulate a linear program to optimally meet daily demand.
Waste from three different factories along a river can be processed to reduce the amount of two different types of pollutants that are being released into the river. If the goal is to ensure that the total reduction in the amount of pollutant $A$ in the river is at least 30 tons and pollutant $B$ is at least 40 tons, formulate a linear program to determine how this can be done at minimum cost. Use the information in the table below.
\begin{tabular}{l|c|c|c}
Factory & $\begin{array}{l}\text { Processing } \
\text { cost per ton } \
\text { of waste }\end{array}$ & $\begin{array}{l}\text { Reduction in } \
\text { pollutant A per ton } \
\text { of processed waste }\end{array}$ & $\begin{array}{l}\text { Reduction in } \
\text { pollutant B per ton } \
\text { of processed waste }\end{array}$ \
\hline 1 & $\$ 15$ & 0.10 tons & 0.45 tons \
2 & $\$ 10$ & 0.20 tons & 0.25 tons \
3 & $\$ 20$ & 0.40 tons & 0.30 tons
\end{tabular}
Go over all the LP problems we have formulated thus far in class and the solutions to last week’s HW formulations. Then read Chapter 3 of the text, which provides many other examples of LP formulations. You may skip Sections 3-2 and 3-3 on graphical solutions for the present (we will cover this material in detail in class next week), but go over the formulations in Section 3-1 and Sections 3-4 through 3-12. Try doing a couple of the exercise problems at the end of each section.
MY-ASSIGNMENTEXPERT™可以为您提供utasKMA255 Operations research运筹学的代写代考和辅导服务！
