Although network models are valuable tools in decision-making, we discussed how a transportation minimization model might distort a realistic decision. How? There is no alternative that will consistently provide optimal, integer solutions. O Cost data will change over time. OOnly the cheapest markets to get to are fully satisfied which might leave other demand locations with reduced supply. Problem data may be wrong.
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- Question 4Consider a birth death model with birth rates in states n = 0, 1, . . . and death rates in states n = 1, 2, . . (a) Give the detailed balance conditions for the equilibrium probability of being in state n, for n = 0, 1, . . . and explain how they are derived. (b) Using the detailed balance conditions derive an expression and state any condition needed to ensure that the equilibrium distribution exists. (c) i Now consider the M/M/1 queue with arrival rate λ and service rate µ and explain how it can be modelled as a birth death model. ii. For the M/M/1 queue derive the form of , the equilibrium distribution of the number of customers present, and give any conditions needed to ensure the existence of the equilibrium distribution. Derive the mean value of the equilibrium distributionQuestion Number 7 A multinational company opens multiple branches all over that Pakistan. If you are hired to design the networking from the company, what type of network you will select? What type of network topology will be suitable for the linking different branches or different department inside the single company branch? List down the network equipment you may require during this implementation.Question content area Part 1 Phillip Witt, president of Witt Input Devices, wishes to create a portfolio of local suppliers for his new line of keyboards. As the suppliers all reside in a location prone to hurricanes, tornadoes, flooding, and earthquakes, Phillip believes that the probability in any year of a "super-event" that might shut down all suppliers at the same time at least 2 weeks is 3%. Such a total shutdown would cost the company approximately $480,000. He estimates the "unique-event" risk for any of the suppliers to be 5%. Assuming that the marginal cost of managing an additional supplier is $14,800 per year, how many suppliers should Witt Input Devices use? Assume that up to three nearly identical local suppliers are available. Part 2 Find the EMV for alternatives using 1, 2, or 3 suppliers. EMV(1)=$________ (Enter your response rounded to the nearest whole number.) Part 3 EMV(2)=$________ (Enter your response rounded to the nearest whole…
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- Operation Research Question QUESTION TWO a) Simulation techniques have been used to analyze problems of two distinct types: Practical real-life problems and theoretical problems related to basic sciences. Illustrate the statement giving examples of each type.Question 2 A particular road is used by N drivers each day. Each driver obtains a benefit v from the journey and incurs a cost c(N ) that increases with the number of drivers on the road due to congestion. Suppose that the cost incurred is given by c(N) = a+bN, for some positive numbers a, b. If the agent decides not to use the road, they receive 0. You may assume throughout that the number of drivers N can be any real number (rather than an integer). Each driver uses the road at most once. the number of drivers that join the road is Ne = (v−a)/b (iv) Suppose that the government charges a toll t (a congestion charge) for each journey. Find the optimum toll. Interpret your answer in terms of the externality that each driver imposes on others.Which of the following statements regarding "proximity" in the location decision is FALSE? Question 26Answer A. Reduction in bulk is a good reason for a manufacturer to locate near the plantation. B. Clustering among fast food chains occurs because they need to be near their labor supply. C. Perishability of raw materials is a good reason for manufacturers to locate near the supplier, not the customer. D. Service organizations find that proximity to market is the most critical primary location factor. E. Manufacturers want to be near customers when their product is bulky, heavy, or fragile.