A set of experiments have been also conducted to examine the. X1 <= 100 X2 <= 100 X3 <= 100 X4 + X5 <= 200ĭefine the problem in excel solver and get following results. This model has been built using Microsoft Excel spreadsheets and solved using Risk solver. Limits on production of gasoline, heating oil, jet fuel and lube oil. Weekly crude oil requirement X1, X2, X3, X4 and X5 Profit from crude oil 1 is obtained by adding value of products formed and subtracting crude and operating cost. Find the optimum weekly requirement of crude oils to maximize the refinery profit. Because of maximum demand, production of gasoline, heating oil, jet fuel and lube oil must be limited as shown in the table. X A = 8 X B = 4 X C = 2 Profit = 302 ExampleĪ refinery has four type of crude oils available that have the yields shown in the following table. After adding constraints click Solve to get results. Number of batches needs to be integer, click on add constraint and select cell E21, F21, G21 and select "Int" to make these variable integer. Cell H26 =SUMPRODUCT(E26:G26,$E$21:$G$21) Cell H27 =SUMPRODUCT(E27:G27,$E$21:$G$21) Cell H28 =SUMPRODUCT(E28:G28,$E$21:$G$21)Ĭlick "Solver" in Data ribbon (Excel 2010) and fill data as in below screenshot.Īdd constraints by clicking "Add" Button. Identify Cells H26,H27,H28 to hold values of constraints. Calculate objective function in cell E23 as Identify Cells E21,F21,G21 which hold values of decision variables. 20 X A + 5 X B + 10 X C <= 200 Excel Solver
Number of batches for each product X A, X B and X C Raw material available per week is Y : 216 units and Z : 200 units. Plant is operating for 150 hours per week. Determine number of batches to be processed every week for each product to maximize the profit. Amount of raw materials required, batch times and profits per batch are shown as below. Multipurpose plant is used to manufacture three products A, B and C from raw materials Y and Z.
#Excel solver examples scheduling how to#
This article shows how to develop LP model in Excel. Linear programming (LP) model essentially consists of 3 components. 401-406.Linear Programming is a widely used mathematical technique designed to help managers and engineers in planning and decision making relative to resource allocation. Mason, Opensolver-an open source add-in to solve linear and integer progammes in excel, in: Operations research proceedings 2011, Springer, 2012, pp. Escola, Application of the microsoft excel solver tool in the optimization of distillation sequences problems, Computer Applications in Engineering Education, 28 (2020), 304-313. Afzali, Analysis of water distribution networks using MATLAB and Excel spreadsheet: h-based methods, Comp.
Sugden, Spreadsheets in education-The first 25 years, Spreadsheets in Education, 1 (2003), 18-43. Vanhoucke, A heuristic procedure to solve the project staffing problem with discrete time/resource trade-offs and personnel scheduling constraints, Computers & Operations Research, 101 (2019), 144-161.
Purnomo, Preference scheduling for nurses using column generation, European Journal of Operational Research, 164 (2005), 510-534. Vanhoucke, An exact algorithm for an integrated project staffing problem with a homogeneous workforce, Journal of Scheduling, 19 (2016), 107-133. Muñoz, A mixed integer programming approach to multi-skilled workforce scheduling, Journal of Scheduling, 19 (2016), 91-106. De Boeck, Personnel scheduling: A literature review, European Journal of Operational Research, 226 (2013), 367-385. Demeulemeester, Workforce planning incorporating skills: State of the art, European Journal of Operational Research, 243 (2015), 1-16. Marques, A graph-based formulation for the shift rostering problem, European Journal of Operational Research, 284 (2020), 285-300. Gallo, A multicommodity flow approach to the crew rostering problem, Operations Research, 52 (2004), 583-596. A tutorial, European Journal of Operational Research, 158 (2004), 533-542. example, the morning shift on workdays requires 3 nurses in high-seniority level. Blöchliger, Modeling staff scheduling problems. The proposed model is solved by the Premium Solver on Microsoft Excel. Burke, Personnel scheduling: Models and complexity, European Journal of Operational Research, 210 (2011), 467-473.
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