# Benevolent and Malevolent Model Two-Phase Cross efficiency approach. ```r Mal_Ben(x = x, y = y, rts ="crs", orientation = "input", phase = "mal", weightRestriction, include = TRUE) ``` ## Arguments - `x`: Inputs or resources used by each decision making unit. - `y`: Outputs or resources used by each decision making unit. - `rts`: Returns to scale for the application, or industry studied. Note the default rts is crs. vrs Variable returns to scale. crs Constant returns to scale. Available option: crs, vrs. - `orientation`: Orientation of the DEA model - primary emphasis on input-reduction input or output-augmentation output. Note that unlike the DEA functions, the default is input orientation. Available option: input, output. - `weightRestriction`: Weight restriction for the model. Optional parameter. - `phase`: Second phase of the model. Malevolent or Benevolent. Note the default is mal.Available option: mal, ben. - `include`: In the second phase include evaluating DMU in the calculation. Default is TRUE. Available option: TRUE, FALSE. ## Returns The function returns a number of values per DMU. The standardized efficiency (all inefficiencies are between 0 and 1, for input and output orientation) Efficiency, and the lambda values, lambda, are returned. - **$rts**: Returns to scale of the model. - **$Orientation**: Orientation of the model. - **$InputValues**: Input Values (x) passed to the model. - **$OutputValues**: Output Values (y) passed to the model. - **$Phase1_Efficiency**: Efficiency of each DMU in the model from Phase 1. - **$Phase1_Lambda**: Lambdas per DMU in the model from Phase 1. - **$Phase1_vx**: Input weights from the model from Phase 1. - **$Phase1_uy**: Output weights from the model from Phase 1. - **$Phase1_Free_Weights**: Free weights from the model from Phase 1. Applies only to vrs returns-to-scale. - **$Phase1_Model_Status**: Returns the status of the phase two LP model. - **$Phase2_Efficiency**: Efficiency of each DMU in the model from Phase 2. - **$Phase2_Lambda**: Lambdas per DMU in the model from Phase 2. - **$Phase2_vx**: Input weights from the model from Phase 2. - **$Phase2_uy**: Output weights from the model from Phase 2. - **$Phase2_Free_weights**: Free weights from the model from Phase 2. Applies only to vrs returns-to-scale. - **$Phase2_Model_Status**: Returns the status of the phase two LP model. - **$ceva_matrix**: Returns the cross efficiency matrix. Row is the Rating DMU and Column is the Rated DMU. - **$ce_ave**: Returns the cross efficiency score for the DMU. - **$ceva_max**: Returns the maximum cross efficiency score for the DMU. - **$ceva_min**: Returns the minimum cross efficiency score for the DMU. ## Note ceva_matrix - cross-evaluation matrix. ceva_max - cross-evaluation maximum. ceva_min - cross-evaluation minimum. ce_ave - cross-efficiency scores. ## Examples ```r #Example from Kenneth R. Baker: Optimization Modeling with Spreadsheets, Third Edition,p. 176, #John Wiley and Sons, Inc. dmu <- c("A", "B", "C", "D", "E", "F") x <- data.frame(c(150,400,320,520,350,320),c(0.2,0.7,1.2,2.0,1.2,0.7)) rownames(x) <- dmu colnames(x)[1] <- c("StartHours") colnames(x)[2] <- c("Supplies") y <- data.frame(c(14,14,42,28,19,14),c(3.5,21,10.5,42,25,15)) rownames(y) <- dmu colnames(y)[1] <- c("Reimbursed") colnames(y)[2] <- c("Private") # Calculate the efficiency score result <- Mal_Ben(x, y, rts = "crs", orientation = "input",phase = "mal", include = TRUE) # Examine the cross efficiency score for DMUs print(result$ce_ave) ```

BenAndMal function