Looking for experience industrial engineer or specialist in operation research to solve minimization problem.
Background:
This work aim is to minimize operational costs, equipment cost and to short payback period of investment.
Scope of work:
1. Analytically solve the model (marked with yellow), which means to show which optimal S1 and S2 minimize the PBP while taking in consideration the constraint. If it is required- show convexity, linearity and infinity of the functions. *
2. Analytically show and explain in which scenarios of minimum PBP: S1<S2, S1>S2, S1=S2.*
3. Optional (or should be priced separately): To write MATLAB code for demonstrating by sensitivity analysis both operational and capacity planning stages:
a. The whole equations for operational stage will be supplied, including excel file with all indexed "i" parameters (8760 hours in one year). Those parameters should be imported to MATLAB to matrix.
b. Graph 1: Sensitivity analysis for "hi" values: to check on the operational stage how the values of "hi" 0.7-1.3 by 0.1 steps (i.e 0.7h, 0.8h…1.3h) influences on the annual production by sub-system 1 and by sub-system-2 "X1, X2".
c. Graph 2: Sensitivity analysis for "h" values: to check on the operational stage how the values of "hi" 0.7-1.3 by 0.1 steps influences on the production hours "i" of isubsystem-1 and isubsystem-2.
d. Graph 3: Sensitivity analysis for "h" values: to check on the operational stage how the values of "hi" 0.7-1.3 by 0.1 steps influences on the payback period.
e. Graph 4: Sensitivity analysis for "h" values: to check on the operational stage how the values of "hi" 0.7-1.3 by 0.1 steps influences on the equipment capacity S1 and S2.
f. Graph 5: Sensitivity analysis for "hi" values: to check on the operational stage how the values of "h" 0.7-1.3 by 0.1 steps influences on the savings .
*every step should be shown with explanations and any math phrase should be typed by "Math type".