Question: Consider the following location-covering model. The sets, decision variables, and parameters are presented below. They are followed by the formulation and data. Sets: : candidate
Consider the following location-covering model. The sets, decision variables, and parameters are presented below. They are followed by the formulation and data. Sets: : candidate (potential) facility locations : where customers are (users)
Decision variables: ={1 if locate at 0 otherwise
Parameters: : time limit : time to travel between candidate facility and customer ={1 if 0 otherwise (if would be covered by facility ) : fixed cost of locating facility Formulation: min s.t. 1, {0,1},
Data: ={1,2} ={Los Angeles, San Diego, Anaheim} =50 =[40 35 70 60 44 7] =[100 200] a) Report the matrix of values, b) Write the objective function in non-set notation (i.e., use + symbols and the data given above) c) Write the 3 constraints corresponding to 1, in non-set notation d) Write the 2 domain constraints in non-set notation. e) Describe how the coverage constraints (used in question c) make sure that at least one facility is within a threshold of every customer . f) Report the style of objective function and constraints that include we should use a location-covering model.
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