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ASSIGNMENT Jan-2019
MS-51 Operations Research
Note : Attempt all the questions and submit this assignment on or before
30th April, 2019 to the Coordinator of your study center.
1. Solve the following problem through SIMPLEX method.
Minimize Z = -3x1+x2+x3
Subject to
x1-2x2+x3≤11
-4x1+x2+2x3≥3
-2x1 +x3=1
x1≥0, x2≥0 and x3≥0
2. A refueling station is served by a single pump machine for providing
service to the petrol vehicles. The arrival process has shown that the
distribution of times between arrivals is negative exponential with a
mean of 10 minutes. Similarly, service times were found to be
adequately described by a negative exponential distribution with a
mean of 6 minutes. Waiting space is unlimited. Determine:
(i) Probability that the customer has to wait.
(ii) Mean number of customer in the system.
(iii) Percentage utilization of the service station.
(iv) Steady-state probability of having four customers in the system.
3. “ In a goal programming, we attempt to „satisfy‟ or come as close as possible to satisfying the various goals,”
Discuss.
4. What is simulation? Describe the simulation process. State the major two reasons for using simulation to
solve a problem. What are the advantages and limitations of simulation?
5. Write short notes on any five of the following:
(a) GOAL Programming
(b) GOMORY‟s cutting plane Algorithm
(c) Selective Inventory Control
(d) Pure and Mixed Strategy
(e) Sensitivity Analysis
(f) Monte Carlo Simulation
Get Solved Assignment Jan-2019 with pervious solved question paper
“ Why do you want to pay only for assignment answers, when we can provide
you assignment answers with last 5 years university solved question papers in
printed book format at your door step.”
www.dotcombooks4u.com
email :- dotcombooks@yahoo.co.in
Call 9825183881

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ASSIGNMENT Jan-2019 MS-51 Operations Research

  • 1. ASSIGNMENT Jan-2019 MS-51 Operations Research Note : Attempt all the questions and submit this assignment on or before 30th April, 2019 to the Coordinator of your study center. 1. Solve the following problem through SIMPLEX method. Minimize Z = -3x1+x2+x3 Subject to x1-2x2+x3≤11 -4x1+x2+2x3≥3 -2x1 +x3=1 x1≥0, x2≥0 and x3≥0 2. A refueling station is served by a single pump machine for providing service to the petrol vehicles. The arrival process has shown that the distribution of times between arrivals is negative exponential with a mean of 10 minutes. Similarly, service times were found to be adequately described by a negative exponential distribution with a mean of 6 minutes. Waiting space is unlimited. Determine: (i) Probability that the customer has to wait. (ii) Mean number of customer in the system. (iii) Percentage utilization of the service station. (iv) Steady-state probability of having four customers in the system. 3. “ In a goal programming, we attempt to „satisfy‟ or come as close as possible to satisfying the various goals,” Discuss. 4. What is simulation? Describe the simulation process. State the major two reasons for using simulation to solve a problem. What are the advantages and limitations of simulation? 5. Write short notes on any five of the following: (a) GOAL Programming (b) GOMORY‟s cutting plane Algorithm (c) Selective Inventory Control (d) Pure and Mixed Strategy (e) Sensitivity Analysis (f) Monte Carlo Simulation Get Solved Assignment Jan-2019 with pervious solved question paper “ Why do you want to pay only for assignment answers, when we can provide you assignment answers with last 5 years university solved question papers in printed book format at your door step.” www.dotcombooks4u.com email :- dotcombooks@yahoo.co.in Call 9825183881