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Operational Research (O.R.) case studies. What’s the problem?. www.LearnAboutOR.com. You are a shop manager…. You are opening a new branch and need to employ staff You want to keep your labour costs as low as possible. www.LearnAboutOR.com. Inexperienced staff are cheaper…
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What’s the problem? www.LearnAboutOR.com
You are a shop manager… You are opening a new branch and need to employ staff You want to keep your labour costs as low as possible www.LearnAboutOR.com
Inexperienced staff are cheaper… …but experienced staff are more productive www.LearnAboutOR.com
How many experienced and inexperienced staff should you take on? www.LearnAboutOR.com
What do we need to know? How much do you need to pay staff? Inexperienced staff cost £5 an hour Experienced staff cost £8 an hour www.LearnAboutOR.com
How productive are inexperienced and experienced staff? Inexperienced staff are two thirds as productive as experienced staff www.LearnAboutOR.com
How many staff do you need? You need the equivalent of 20 experienced members of staff www.LearnAboutOR.com
Anything else you need to consider? Head Office states that you must employ at least one experienced member of staff for every three inexperienced members of staff www.LearnAboutOR.com
Let’s summarise the problem We want to employ the equivalent ofat least 20 experienced members of staff with at least one experienced member of staff for every three inexperienced members of staffwith the minimum possible labour cost www.LearnAboutOR.com
This is an example ofLinear Programming www.LearnAboutOR.com
Linear Programming Problems The aim is to choose the best combination of a number of quantities to optimise the outcome, subject to certain constraints www.LearnAboutOR.com
Another example of where this is used Factories that make several products: deciding how many of each to make weighing up several factors for each product such as the profit to be made, the demand, the time needed to produce it, etc. www.LearnAboutOR.com
What next? Over the next few lessons, we will look at ways of approaching problems of this type… www.LearnAboutOR.com