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- #POM QM DIVISION IN LINEAR PROGRAMMING CONSTRAINT INSTALL#
- #POM QM DIVISION IN LINEAR PROGRAMMING CONSTRAINT MANUAL#
- #POM QM DIVISION IN LINEAR PROGRAMMING CONSTRAINT DOWNLOAD#
- #POM QM DIVISION IN LINEAR PROGRAMMING CONSTRAINT WINDOWS#
= -values for all arcs is defined as the fieldwide breakthrough index, B. The use of the various programs is demonstrated with reference both to hypothetical data and an actual data set from the Wairakei Geothermal Field in New Zealand. In addition, a program is presented which solves the injector configuration problem by a combination of enumeration and quadratic more » programming. The study presents four computer programs which employ linear or quadratic programming to solve the allocation problem. Injection is optimized by choosing injection wells and rates so as to minimize B subject to constraints on the number of injectors and the total amount of fluid to be produced and reinjected. The sum of b/sub ij/-values for all arcs is defined as the fieldwide breakthrough index, B. This potential is quantified by an arc-specific break-through index, b/sub ij/, based on user-specified parameters from tracer tests, field geometry, and operating considerations. Each arc in the network is considered to have some potential for thermal breakthrough. The reservoir is idealized as a network of channels or arcs directly connecting each pair of wells in the field. The injection optimization problem is broken into two sub-problems: (1) choosing a configuration of injectors from an existing set of wells, and (2) allocating a total specified injection rate among chosen injectors. What are the slack values for activities C and F? Interpret the meaning of their slack values.This study discusses the application of algorithms developed in Operations Research to the optimization of brine reinjection in geothermal fields. What is the probability of completing this project between 38 and 40 days?Ĥ. Table 1: Activity, duration and standard deviationġ. Select Project Management(PERT/CPM) module, and then select the option File->New->Mean, Std dev given items. Program the project management problem below and solve it with the use of POM. You may also wish to research and review online tutorials regarding the linear programming module.Ģ.
#POM QM DIVISION IN LINEAR PROGRAMMING CONSTRAINT WINDOWS#
Available from the ‘Help’ menu in the POM-QM Windows software. Review the linear programming section from the POM manual: How much can the contribution margin for product 2 change before the current optimal solution is no longer optimal?ġ. How many hours are used for machine 3 with the optimal solution?ĥ. What is the opportunity cost associated with product 1? What interpretation should be given to this opportunity cost?Ĥ. What is the marginal value of an additional hour of time on machine 1? Over what range of time is this marginal value valid?ģ. What is the optimal production schedule for this firm? What is the profit contribution of each of these products?Ģ. The linear programming formulation of this problem is as follows:Īnswer each question and explain your reasoning or show your calculations.ġ. The following are available for scheduling: The contribution margin of the three products is £30, £40 and £35 per unit, respectively.
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#POM QM DIVISION IN LINEAR PROGRAMMING CONSTRAINT MANUAL#
Note: Do not program the non-negativity constraint, as this is already assumed by the software.įor additional support, please reference the POM-QM for Windows manual available from the ‘Help’ menu in the POM-QM Windows software.Ī firm uses three machines in the manufacturing of three products: Refer to Appendix IV from the Heizer and Render (2014) textbook.
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Program the linear programming formulation for the problem below and solve it with the use of POM. From the main menu, select Module and then Linear Programming.Ĥ.
#POM QM DIVISION IN LINEAR PROGRAMMING CONSTRAINT INSTALL#
Install and launch the POM-QM for Windows software. Available from: (Accessed 23 April 2015).ģ. (2014) QM for Windows linear programming YouTube. You may also wish to research and review online tutorials regarding the linear programming module and/or view the following resource.
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Read Appendix IV of the Operations Management (Heizer and Render, 2014) textbook.Ģ.
#POM QM DIVISION IN LINEAR PROGRAMMING CONSTRAINT DOWNLOAD#
Click Here to Download this Answer Instantlyįor this part of this project, you will need to use the POM software:ġ.